Question

4 from unit 1, lesson 2
the histogram represents ages of 39 people
at a store that sells children’s clothes. which
interval contains the median?
a. the interval from 0 to 5 years

Explanation:

Step1: Find the median position

For \( n = 39 \) (odd number of data points), the median is the \( \frac{n + 1}{2}=\frac{39+1}{2}=20^{\text{th}} \) value when the data is ordered.

Step2: Cumulative frequency calculation

• Interval 0 - 5: Frequency = 10. Cumulative frequency = 10. (10 < 20, so median not here)
• Interval 5 - 10: Frequency = 8. Cumulative frequency = \( 10 + 8 = 18 \). (18 < 20, so median not here)
• Interval 10 - 15: Frequency = 6. Cumulative frequency = \( 18+6 = 24 \). (24 ≥ 20, so the 20th value is in this interval)

Answer:

The interval from 10 to 15 years (assuming the options include this, as the first interval 0 - 5 and next 5 - 10 don't reach cumulative 20, and 10 - 15 does. If the options are A: 0 - 5, B: 5 - 10, C: 10 - 15, etc., the correct one is the interval 10 - 15 years).