Do you want to learn " How to calculate standard deviation in 6 easy steps"!! click here...

Before we jump on to the calculations, let's find out what standard deviation is ! well it's...

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"A quantity expressing by how much the members of a group differ from the mean value for the group"

[{"selector":"#anim-40c0e75d-22db-4d97-ae9c-79b401ced728 [data-leaf-element=\"true\"]","keyframes":{"transform":["translate3d(-31.249999886225726%, 0, 0) translate(-25%, 0%) scale(1.5)","translate3d(0%, 0, 0) translate(0%, 0%) scale(1)"]},"delay":0,"duration":2000,"fill":"forwards"}] [{"selector":"#anim-4caa0220-d396-46dc-ab41-e3c003fea4da","keyframes":{"transform":["translate3d(139.46360%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-4336660d-dff6-4339-921c-d04af11b19eb","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-856b32b2-26e5-4516-9dfb-1a75216279b9","keyframes":{"transform":["scale(0.15)","scale(1)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"forwards"}]

Standard deviation is useful in assessing risk factors and investment options.

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formula used to calculate standard deviation is: σ=√1N∑Ni=1(Xi−μ)2. where...

[{"selector":"#anim-34ea556b-f155-46c3-a676-5cd6c8a818e8 [data-leaf-element=\"true\"]","keyframes":{"transform":["translate3d(-31.249999886225726%, 0, 0) translate(-25%, 0%) scale(1.5)","translate3d(0%, 0, 0) translate(0%, 0%) scale(1)"]},"delay":0,"duration":2000,"fill":"forwards"}] [{"selector":"#anim-7123fa69-eb47-475c-8611-0d32c1bcdf3d","keyframes":{"transform":["translate3d(139.84675%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-5ab16442-ff7d-47ac-bb51-f04784f516b7","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-633b9319-4af1-4342-8e6b-0363ffcb63f1","keyframes":{"transform":["scale(0.15)","scale(1)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"forwards"}]

μ = Assumed mean

[{"selector":"#anim-95afccb1-ef18-4d07-b305-11a0abbd615e","keyframes":{"opacity":[0,1]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-41b12c2f-ce77-43b8-82f8-76bf27fd075d","keyframes":{"transform":["translate3d(0px, 509.70754%, 0)","translate3d(0px, 0px, 0)"]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-d2fcb305-6f29-4f69-b0bd-a13581c1f3cb","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-5fefe23e-d736-40f2-8a16-853b0c429e5b","keyframes":{"transform":["translate3d(0px, 463.66597%, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-86d4f23e-fd6a-4a27-b096-6f5c74570601","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-7fa9059d-61da-435a-a54e-52fc8f5e8eb4","keyframes":{"transform":["translate3d(0px, 165.71140%, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-21f6fa3a-ccd4-439a-bff9-00b8dd68c656 [data-leaf-element=\"true\"]","keyframes":{"transform":["translate3d(-31.249999886225726%, 0, 0) translate(-25%, 0%) scale(1.5)","translate3d(0%, 0, 0) translate(0%, 0%) scale(1)"]},"delay":0,"duration":2000,"fill":"forwards"}]

6

[{"selector":"#anim-a0ec4467-7cb2-4b5d-8dc6-90d5ba2d18fe","keyframes":{"opacity":[0,1]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-332d7470-966d-41e3-869b-0b3602de349d","keyframes":{"transform":["translate3d(0px, 1321.63682%, 0)","translate3d(0px, 0px, 0)"]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-724193ee-d34a-43bf-b9bb-e5c8425e1d7b","keyframes":{"opacity":[0,1]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-a88b9be5-dd18-4b84-8f8e-2ab769c616fe","keyframes":{"transform":["translate3d(0px, 1129.53160%, 0)","translate3d(0px, 0px, 0)"]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-3018310f-4112-4342-ac46-651ebc02bbdd","keyframes":{"opacity":[0,1]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-917ccc55-bbfb-430c-b4ea-b4b459dbae0f","keyframes":{"transform":["translate3d(0px, 454.65437%, 0)","translate3d(0px, 0px, 0)"]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-cf600593-a66a-453c-bc06-40cd76d684f8","keyframes":{"opacity":[0,1]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-5aacf88e-9a11-4733-a0cb-3a916979bebb","keyframes":{"transform":["translate3d(0px, 887.42647%, 0)","translate3d(0px, 0px, 0)"]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-2f40b69b-2d8c-49e9-a40a-557e8994bef0","keyframes":{"opacity":[0,1]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-c7ccbd6b-263a-4c4e-951a-ea0fd873c293","keyframes":{"transform":["translate3d(0px, 663.74244%, 0)","translate3d(0px, 0px, 0)"]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-91db12e1-0bce-4a4a-8ebf-93e2e88ae064","keyframes":{"opacity":[0,1]},"delay":0,"duration":1400,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-cfd795d4-298c-48d9-a19c-120b1833d3ff","keyframes":{"opacity":[0,1]},"delay":0,"duration":1400,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-e18f8581-8599-4647-90d1-1290d9ae7e50","keyframes":{"opacity":[0,1]},"delay":0,"duration":1400,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-1a6b8d75-c98c-47f4-872e-2e0a0352797a","keyframes":{"opacity":[0,1]},"delay":0,"duration":1400,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-ccf0ed89-8771-467f-9d0a-8975f838077e","keyframes":{"opacity":[0,1]},"delay":0,"duration":1400,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-7a55883f-b6c4-4871-84bb-643c99d0ba49","keyframes":{"opacity":[0,1]},"delay":0,"duration":3000,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}]

find the mean.

[{"selector":"#anim-28cfa899-2970-4549-ba85-22f64121ab38","keyframes":{"opacity":[0,1]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-03110d2e-2b7a-4b91-b49e-6d200fac90be","keyframes":{"transform":["translate3d(0px, 1167.95843%, 0)","translate3d(0px, 0px, 0)"]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-e3650167-7c57-4803-a2e6-8a35cfcf9c7a","keyframes":{"opacity":[0,1]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-34277206-6041-4a1e-b593-0a5b60334daf","keyframes":{"transform":["translate3d(0px, 363.74765%, 0)","translate3d(0px, 0px, 0)"]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-266f3c1c-b4af-4cc2-9303-303a4b322adb","keyframes":{"opacity":[0,1]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-be6a2022-bf7f-49fc-9704-15c4f844532f","keyframes":{"transform":["translate3d(0px, 229.84935%, 0)","translate3d(0px, 0px, 0)"]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-0e6af4c6-faf4-4e40-938e-e1ab4f46758d","keyframes":{"opacity":[0,1]},"delay":0,"duration":1400,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-11abd205-b836-4d4a-ada8-ba6c00b98497","keyframes":{"opacity":[0,1]},"delay":0,"duration":1400,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-0c3a46a8-9e59-40d2-b969-2129c42f1089","keyframes":{"opacity":[0,1]},"delay":0,"duration":1400,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-f042e70f-192d-4499-a44d-4960b72b7a2f","keyframes":{"opacity":[0,1]},"delay":0,"duration":3000,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}]

find the square root of the variance.

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find the mean as follows:

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find each scores deviation from mean:

[{"selector":"#anim-242d196d-4780-4c6b-89f5-53c2d532b5d1","keyframes":{"opacity":[0,1]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-d208bc9c-3871-4fae-a602-77ea449debf1","keyframes":{"transform":["translate3d(0px, 722.49634%, 0)","translate3d(0px, 0px, 0)"]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-130aed8a-df51-46eb-bc05-c02bea5a60b6","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-f4c479ac-93f6-47f7-899a-3f2003331e10","keyframes":{"transform":["translate3d(0px, 966.44505%, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-7c1ed4da-2874-4bfa-8f56-165c8cd715bd","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-73f912ef-3947-4d6c-b990-0457325ee7f7","keyframes":{"transform":["translate3d(0px, 868.44502%, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-3df3fd94-7729-4142-9b2e-66441a26c129","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-e3bde98e-c083-457f-a953-1b7177db7a21","keyframes":{"transform":["translate3d(0px, 776.44492%, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-8897cb1b-520d-47ff-969e-8064643b794a","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-477d3ed6-4940-4202-bf3f-4759a3cd457d","keyframes":{"transform":["translate3d(0px, 672.44485%, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-ba1e6790-395a-4bb6-85ee-0001b6a68600","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-40a04b1d-fbbb-42ff-80ef-fc8a0124e2a2","keyframes":{"transform":["translate3d(0px, 559.25903%, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-497339d7-4db0-43b7-b704-f99448013705","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-2748b046-b448-4fa1-ae5e-4b91a501522b","keyframes":{"transform":["translate3d(0px, 480.44474%, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-5f51485c-8474-4a75-83a9-e16c1116d225","keyframes":{"transform":["translate3d(176.21360%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-506cfb36-9ab1-4da6-964b-6c0218f56e74","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-97b3133b-f818-42ba-a954-5fabe0c11acd","keyframes":{"transform":["scale(0.15)","scale(1)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"forwards"}]

square each deviation from mean:

[{"selector":"#anim-8500d8c3-41dd-4a5a-b0ae-e42613ebfad4","keyframes":{"opacity":[0,1]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-4ceb16f0-acdd-4f57-9923-6633f2c79327","keyframes":{"transform":["translate3d(0px, 729.02801%, 0)","translate3d(0px, 0px, 0)"]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-6f624ec0-66ec-44db-ae0a-a5a88fad932a","keyframes":{"opacity":[0,1]},"delay":0,"duration":3000,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-9d8c6358-8467-4d36-baea-64bc0650af50","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-f39781bd-85ca-4a75-8c1f-1f7776eda227","keyframes":{"transform":["translate3d(0px, 947.49425%, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-310eae60-4288-413c-9ed2-8a1a221d50b5","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-441ab544-4073-4181-adf8-6eeda8f83226","keyframes":{"transform":["translate3d(0px, 849.45501%, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-07aede8e-dddd-4be7-af55-64f42a9dba0f","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-dd13cbfe-dfea-4a38-be9f-cafd3ad4e4a3","keyframes":{"transform":["translate3d(0px, 741.61199%, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-b9049706-cda2-477f-9f2c-d6d3d57a7122","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-ceb36b0f-17fa-4755-baa9-830d82297dfe","keyframes":{"transform":["translate3d(0px, 639.65123%, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-356051c8-d7c5-4614-9e9f-617dc839928c","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-ba086129-60a2-475b-941f-13df85664b60","keyframes":{"transform":["translate3d(0px, 539.65123%, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-235ebcb5-c498-4162-9c85-e85350bcf563","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-b7109727-db08-44be-bec8-e6745882db4e","keyframes":{"transform":["translate3d(0px, 450.44477%, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}]

find the sum of squares (this is called sum of squares):

[{"selector":"#anim-8069e0dc-5b8f-41bb-a9c9-52c81ed8c80d","keyframes":{"opacity":[0,1]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-52673875-167c-45bc-8b2a-d64e594e2c9c","keyframes":{"transform":["translate3d(0px, 373.86038%, 0)","translate3d(0px, 0px, 0)"]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-09b1690b-713d-456f-9fb1-a8588f289b21","keyframes":{"opacity":[0,1]},"delay":0,"duration":3000,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-3bcbea17-b685-4d9b-b06c-c3b023795709","keyframes":{"transform":["translate3d(121.69491%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-b15d3d00-1982-4567-b12e-1530a567ec62","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-514fd7ba-5af5-4ee0-adbc-0ced03af7818","keyframes":{"transform":["scale(0.15)","scale(1)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"forwards"}]

find the variance: ( divide the sum of the squares by N (FOR POPULATION) and (n-1 for sample).

[{"selector":"#anim-372f6d07-9bde-4fc2-9864-5a213c1db330","keyframes":{"opacity":[0,1]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-6ceb2ebb-b529-4a4f-ad0b-c21df90298c5","keyframes":{"transform":["translate3d(0px, 302.18772%, 0)","translate3d(0px, 0px, 0)"]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-68c39bb8-b8e4-4abf-90e3-14ff7e52d549","keyframes":{"opacity":[0,1]},"delay":0,"duration":3000,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-54cde02b-44a0-457e-8c97-6a816edda6f4","keyframes":{"transform":["translate3d(121.69491%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-340e194d-3d38-4ab6-8023-6ef92659dfe4","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-6bfb4afe-9dd8-4955-ac4d-b52ea40790a5","keyframes":{"transform":["scale(0.15)","scale(1)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"forwards"}]

find the square root of the variance. .

[{"selector":"#anim-c16cacd2-0d0c-4234-b98e-d37a0cbde479","keyframes":{"opacity":[0,1]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-733bb9cd-1759-4508-875b-6c4119471802","keyframes":{"transform":["translate3d(0px, 416.58734%, 0)","translate3d(0px, 0px, 0)"]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-ce4a50e0-75ae-415c-8043-07f8c524acbf","keyframes":{"opacity":[0,1]},"delay":0,"duration":3000,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-56bd53be-3c78-4a68-a514-5aafae558f80","keyframes":{"transform":["translate3d(122.52560%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-4904b42d-4dab-463f-a4f7-b1e9a08db4ad","keyframes":{"opacity":[0,1]},"delay":0,"duration":600,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-c5eb5ace-bd79-4728-bc0d-0cc6a6b43b0c","keyframes":{"transform":["scale(0.15)","scale(1)"]},"delay":0,"duration":600,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"forwards"}]

from these calculations we can say that each score deviates from the mean by 10.94 for population and 11.99 for sample.

[{"selector":"#anim-2d09de51-29ff-42fd-99ba-2c3b72626a50","keyframes":{"opacity":[0,1]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-b3bd617b-00d2-4f2e-bf4d-d928e4d33990","keyframes":{"transform":["translate3d(0px, 140.57758%, 0)","translate3d(0px, 0px, 0)"]},"delay":200,"duration":1400,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-98128e4c-7341-4425-aecc-1d46cd8bd5d6","keyframes":{"opacity":[0,1]},"delay":0,"duration":1400,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}]

[{"selector":"#anim-9c6298e9-2d0d-49ba-a520-1f17c8f65909 [data-leaf-element=\"true\"]","keyframes":{"transform":["translate3d(-12.495017045873253%, 0, 0) translate(-25%, 0%) scale(1.5)","translate3d(0%, 0, 0) translate(0%, 0%) scale(1)"]},"delay":0,"duration":2000,"fill":"forwards"}]

Do you want to learn " How to calculate standard deviation in 6 easy steps"!! click here...

Do you want to learn " How to calculate standard deviation in 6 easy steps"!! click here...

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Before we jump on to the calculations, let's find out what standard deviation is ! well it's...

Before we jump on to the calculations, let's find out what standard deviation is ! well it's...

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pic credits-unsplash

"A quantity expressing by how much the members of a group differ from the mean value for the group"

"A quantity expressing by how much the members of a group differ from the mean value for the group"

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pic credits-unsplash

Standard deviation is useful in assessing risk factors and investment options.

Standard deviation is useful in assessing risk factors and investment options.

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pic credits-unsplash

formula used to calculate standard deviation is: σ=√1N∑Ni=1(Xi−μ)2. where...

formula used to calculate standard deviation is: σ=√1N∑Ni=1(Xi−μ)2. where...

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pic credits-unsplash

μ = Assumed mean

σ= Population standard deviation

now let's move on to steps to solve with an example's help....

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pic credits-unsplash

6

40

60

52

32

65

1

2

3

4

5

Assume a data set of 6 scores:

41

find the mean.

find each scores deviation from mean.

square each deviation from mean.

1

2

3

steps

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pic credits-unsplash

find the square root of the variance.

find the sum of squares. .

find the variance.

4

5

6

steps

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find the mean as follows:

step 1

(40+60+32+65+52+41)/6=48.33. so, mean=48.33

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pic credits-unsplash

find each scores deviation from mean:

40-48.33=-8.33

60-48.33=11.76

32-48.33=-16.33

65-48.33=16.67

52-48.33=3.67

41-48.33=-7.33

step 2

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square each deviation from mean:

step 3

(-8.33)*2 = 69.38

(11.76)*2 = 138.2

(-16.33)*2= 266.6

(16.67)*2 =277.8

(3.67)*2 = 13.46

(-7.33)*2 =53.72

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pic credits-unsplash

find the sum of squares (this is called sum of squares):