Answer
$\overline{x}\approx 4.74$
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 $218$.
(3) Add the frequencies to obtain $46$.
(4) Divide the result in step (2) by the result in step (3) to obtain:
$\overline{x} = \dfrac{218}{46}=4.739130435 \approx 4.74$
