Question

question #4
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 data - points in each interval:

• For the interval \(0.0 - 1.9\): 0 data - points
• For the interval \(2.0 - 3.9\): 2 data - points (\(3\frac{1}{2},3\frac{1}{2}\))
• For the interval \(4.0 - 5.9\): 8 data - points (\(4,4,4\frac{1}{2},4\frac{1}{2},5,5,5\frac{1}{2},5\frac{1}{2}\))
• For the interval \(6.0 - 7.9\): 6 data - points (\(6,6,6\frac{1}{2},7,7,7\))
• For the interval \(8.0 - 9.9\): 4 data - points (\(8,8\frac{1}{2},9,9\))

Step2: Match with histograms

Compare these frequencies with the histograms:

• In histogram A: The frequencies do not match our counts.
• In histogram B: The frequencies match our calculated counts for each interval.
• In histogram C: The frequencies do not match our counts.
• In histogram D: The frequencies do not match our counts.

Answer:

B.