Question

Three distributions, labeled (a), (b), and (c), are represented below by their histograms. Each distribution is symmetrical and is made of

measurements. Without performing any calculations, order their respective standard deviations
,
, and
.

Answer 1

order is

αb<αc<αa

Explanation:

in a )

number 4 and number 12 are showing 3 bullets while number 7 and 9 showing 2 bullets hence

standard deviation for a=3-2=1

in b)

number 4 ,7,9 and number 12 are showing 2 bullets while number 3 and 13 showing 1 bullet hence

standard deviation for a=2-1=1

in c)

number 4 ,7,9 and number 12 are showing 2 bullets while number 5 and 11 showing 1 bullet hence

standard deviation for a=2-1=1

order isαb<αc<αa