Question

question 11 · 1 point
find the mean of the data set summarized in the frequency table. round your answer to the nearest tenth.
random variable | frequency
2 | 13
3 | 30
4 | 9

Explanation:

Step1: Calculate the product of each random variable and its frequency

For \( x = 2 \), the product is \( 2\times13 = 26 \).
For \( x = 3 \), the product is \( 3\times30 = 90 \).
For \( x = 4 \), the product is \( 4\times9 = 36 \).

Step2: Find the sum of all products

Sum of products: \( 26 + 90 + 36 = 152 \).

Step3: Calculate the total frequency

Total frequency: \( 13 + 30 + 9 = 52 \).

Step4: Compute the mean

Mean \( = \frac{\text{Sum of products}}{\text{Total frequency}} = \frac{152}{52} \approx 2.9 \).

Answer:

\( 2.9 \)