Question

The histogram represents ages of 40 people at a store that sells children's clothes. Which interval contains the median? Histogram from 0 to 35 by 5’s. age (years). Beginning at 0 up to but not including 5, height of bar at each interval is 10, 8, 6, 3, 5, 3, 4. 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.​

Answer 1

Option C.

Explanation:

It is given that a histogram from 0 to 35 by 5’s. age (years). Beginning at 0 up to but not including 5, height of bar at each interval is 10, 8, 6, 3, 5, 3, 4.

The frequency table is:

Class interval frequency table Cumulative frequency

0-5 10 10

5-10 8 18

10-15 6 24 Median class

15-20 3 27

20-25 5 32

25-30 3 35

30-35 4 39

Sum of frequencies is 39, which is an odd number.

`Median=(n+1)/(2)\text{th term}`

`Median=(39+1)/(2)\text{th term}`

`Median=(40)/(2)\text{th term}`

`Median=20\text{th term}`

Now, we need a class whose cumulative frequency is more than 20 but its previous cumulative frequency is less than 20.

Median class is 10-15 because cumulative frequency of class 10-15 is 24. So 20th term is in the class 10-15.

Therefore, the correct option is C.