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 .

order is

αb<αc<αa

Step-by-step 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

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.