Question

the histogram represents ages of 40 people at a store that sells childrens clothes. which interval contains the median? a the interval from 0 to 5 years b the interval from 5 to 10 years. c the interval from 10 to 15 years d the interval from 15 to 20 years

Explanation:

Step1: Calculate cumulative frequencies

For 0 - 5 years: 10
For 0 - 10 years: 10 + 8=18
For 0 - 15 years: 18+6 = 24
For 0 - 20 years: 24 + 3=27
For 0 - 25 years: 27+5 = 32
For 0 - 30 years: 32+3 = 35
For 0 - 35 years: 35+4 = 39

Step2: Determine position of median

Since \(n = 40\) (an even - numbered data set), the median is the average of the \(\frac{n}{2}=20\)th and \((\frac{n}{2}+ 1)=21\)st ordered data values.

Step3: Identify interval with median

The 20th and 21st values fall within the 10 - 15 years interval.

Answer:

C. The interval from 10 to 15 years