Which intervals are most appropriate for constructing a frequency table for the data set?

45 53 60 36 22 27 47 68 33 51 55 29 28 45 43

A.) 20-39, 40-49, 50-59, 60-69

B.) 20-35, 35-50, 50-65, 65-80

C.) 20-34, 35-49, 50-64, 65-79

D.) 20-39, 40-54, 55-65, 66-75

Question

Mathematics

Arielle Yu

14 August, 18:25

Which intervals are most appropriate for constructing a frequency table for the data set?

45 53 60 36 22 27 47 68 33 51 55 29 28 45 43

A.) 20-39, 40-49, 50-59, 60-69

B.) 20-35, 35-50, 50-65, 65-80

C.) 20-34, 35-49, 50-64, 65-79

D.) 20-39, 40-54, 55-65, 66-75

+3

Answers (1)

Know the Answer?

Wise · Answer 1

There are a few criteria one can use for choosing intervals.

make the intervals as uniform as possible cover the range in a "reasonable" number of intervals appropriately reflect the data distribution make the boundaries unambiguous

Selection B has boundaries that overlap, so can be ruled out immediately. Selection D has ranges that go from 19 to 9, so does not have very uniform intervals. Likewise, selection A defines the first interval to be twice the width of the others, so it isn't a good choice, either.

IMO, the best of the offered choices is ...

... C.) 20-34, 35-49, 50-64, 65-79

Which intervals are most appropriate for constructing a frequency table for the data set?45 53 60 36 22 27 47 68 33 51 55 29 28 45 43A.) 20-39, 40-49, 50-59, 60-69B.) 20-35, 35-50, 50-65, 65-80C.) 20-34, 35-49, 50-64, 65-79D.) 20-39, 40-54, 55-65, 66-75

Which intervals are most appropriate for constructing a frequency table for the data set?

45 53 60 36 22 27 47 68 33 51 55 29 28 45 43

A.) 20-39, 40-49, 50-59, 60-69

B.) 20-35, 35-50, 50-65, 65-80

C.) 20-34, 35-49, 50-64, 65-79

D.) 20-39, 40-54, 55-65, 66-75