Question

MH ALEKS HE Math-CRC Skip to main content DESCRIPTIVE STATISTICS Comparing standard deviations without calculation Three distributions, labeled (e). (b)and (c), are represented below by their histograms Each distribution is symmetrical and is made of 10 measurements. Without performing any calculations, order their respective standard deviations, and o (a) (b) AAEL FAR, 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 4 5 6 7 8 9 10 11 12 13 14 (c) ELE 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Exploration Check

Answer 1

Standard deviation is a measure of spread of points from mean ,

since the histogram is symmetric , we can see that the center value or mean is 7 for all , and two blocks in 4,6,8,10 are common to all histograms , so the spread is caused by a block in 3 and 11 in histogram a, block in 2 and 12 in histogram b , where as in histogram c it is at 4 and 10.

so b has more spread than a and c has the least spread , so the order of standard deviations is

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