use the display of data to find the mean, median, mode, and midrange. the mean of the data is 12. (round to…
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.)
Answer
Explanation:
Step1: Find total frequency
The frequencies are 3, 6, 8, 5, 2. Total frequency $n=3 + 6+8 + 5+2=24$.
Step2: Determine position of median
Since $n = 24$ (an even - numbered data set), the median is the average of the $\frac{n}{2}=12$th and $(\frac{n}{2}+1)=13$th ordered data values.
Step3: Cumulative frequency
The cumulative frequencies are: for score 10, cumulative frequency $CF_1 = 3$; for score 11, $CF_2=3 + 6=9$; for score 12, $CF_3=3 + 6+8 = 17$. The 12th and 13th values fall within the score of 12.
Answer:
12