Question

an organization accepts donations of hair longer than 10 inches to be made into wigs for cancer patients. to help out, tabitha got 19 of her classmates to join her in donating their ponytails to the organization. the table shows the lengths, in inches, of the girls ponytails.

12, 15, 14, 13.25, 15.25, 14.25, 12.25, 13, 12.25, 15.75
10, 11, 13, 12, 11.5, 12, 11.75, 11.75, 13.25, 13.25

type the number in the box.
q. in inches, what is the median of the data? round your answer to the nearest hundredth, if necessary. _____ in

Explanation:

Identify the given data set

We are given a set of ponytail lengths in inches for Tabitha and her 19 classmates, making a total of 20 data points:
Row 1: \(12\), \(15\), \(14\), \(13.25\), \(15.25\), \(14.25\), \(12.25\), \(13\), \(12.25\), \(15.75\)
Row 2: \(10\), \(11\), \(13\), \(12\), \(11.5\), \(12\), \(11.75\), \(11.75\), \(13.25\), \(13.25\)

Order the data set from least to greatest

Using Word Problems analysis, we sort the 20 values:

1. \(10\)
2. \(11\)
3. \(11.5\)
4. \(11.75\)
5. \(11.75\)
6. \(12\)
7. \(12\)
8. \(12\)
9. \(12.25\)
10. \(12.25\)
11. \(13\)
12. \(13\)
13. \(13.25\)
14. \(13.25\)
15. \(13.25\)
16. \(14\)
17. \(14.25\)
18. \(15\)
19. \(15.25\)
20. \(15.75\)

Find the median of the 20 data points

Since the number of values \(n = 20\) is even, the median is the average of the 10th and 11th values:
The 10th value is \(12.25\).
The 11th value is \(13\).

$$ \text{Median} = \frac{12.25 + 13}{2} = \frac{25.25}{2} = 12.625 $$

Round to the nearest hundredth

Rounding \(12.625\) to the nearest hundredth gives \(12.63\).

Answer:

In inches, what is the median of the data? Round your answer to the nearest hundredth, if necessary <blank>12.63</blank> in.