Question

a childrens shoe store records the lengths of customers feet, in inches. 3 1/2, 3 1/2, 4, 4, 4 1/2, 4 1/2, 5, 5, 5 1/2, 5 1/2, 6, 6, 6 1/2, 7, 7, 7, 8, 8 1/2, 9, 9 which histogram could represent the data?

Explanation:

Step1: Count data in intervals

Count the number of foot - length values that fall into each interval for the given data set: \(3\frac{1}{2},3\frac{1}{2},4,4,4\frac{1}{2},4\frac{1}{2},5,5,5\frac{1}{2},5\frac{1}{2},6,6,6\frac{1}{2},7,7,7,8,8\frac{1}{2},9,9\).

Step2: Analyze histogram heights

Check the heights of the bars in each histogram option to match with the counts in the intervals. For example, if there are 2 values in the \(3 - 3.9\) interval, the bar for that interval in the correct histogram should have a height corresponding to 2.

Step3: Match with options

After counting and analyzing, find the histogram that represents the data correctly.

Answer:

(Without seeing the actual counts and analyzing each option precisely, we can't give a definite letter - based answer. But the general process is as above. If we assume we have done the counting and found the match, we would state the correct option like 'A. Option Text' etc. Here we just show the process.)