Question

use the display of data to find the mean, median, mode, and midrange. the mean of the data is 12. (round to the nearest tenth as needed.) the median of the data is . (round to the nearest tenth as needed.)

Explanation:

Step1: Calculate total frequency

The frequencies for scores 10, 11, 12, 13, 14 are 3, 4, 5, 4, 2 respectively. The total frequency $n=3 + 4+5 + 4+2=18$.

Step2: Determine position of median

Since $n = 18$ (an even - numbered data set), the median is the average of the $\frac{n}{2}=9$th and $(\frac{n}{2}+ 1)=10$th ordered data values.

Step3: Find cumulative frequencies

For score 10, cumulative frequency $CF_1 = 3$. For score 11, $CF_2=3 + 4=7$. For score 12, $CF_3=7 + 5 = 12$.
The 9th and 10th values fall within the score of 12.

Answer:

12