Question

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

Explanation:

Step1: Determine the frequency - score pairs

From the histogram, we have:
Score 10 with frequency 3, Score 11 with frequency 4, Score 12 with frequency 5, Score 13 with frequency 4, Score 14 with frequency 3.

Step2: Calculate the sum of the products of scores and frequencies

\[

$$\begin{align*} \sum_{i}x_if_i&=(10\times3)+(11\times4)+(12\times5)+(13\times4)+(14\times3)\\ &=30 + 44+60 + 52+42\\ &=228 \end{align*}$$

\]

Step3: Calculate the total frequency

The total frequency \(n = 3 + 4+5 + 4+3=19\).

Step4: Calculate the mean

The mean \(\bar{x}=\frac{\sum_{i}x_if_i}{n}=\frac{228}{19} = 12\).

Answer:

12