# Chapter 12 - Statistics - 12.2 Measures of Central Tendency - Exercise Set 12.2: 10

$\overline{x}=4.129032258$

#### Work Step by Step

To solve for the mean of the given frequency distribution, perform the following steps: (1) Multiply the score and the corresponding frequency. (Refer to the $fx$ column in the attached image below.) (2) Add the products in step (1) to obtain $128$. (3) Add the frequencies to obtain $31$. (4) Divide the result in step (2) by the result in step (3) to obtain: $\overline{x} = \dfrac{128}{31}=4.129032258$

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