Answer
The mean of the points scored is approximately $174$.
Work Step by Step
To find the weighted mean, perform the following steps:
(1) For each row, multiply frequency and points scored..
(2) Add the results in Step (1).
(3) Add all frequencies together.
(4) Divide the result in Step (2) by the result in Step (3).
(Refer to the table below.)
Thus, the weighted mean is:
$=\dfrac{18,590}{107}\approx 174$