482,540 views
8 votes
8 votes
Over the first 20 games of the season, the distribution of a basketball teams scores is bell shaped with

a mean of 94 points per game and a high of 109. Over the next 10 games, the team scored 94, 110, 102,
93, 98, 99, 121, 96, 94, and 108 points. Which statement best describes the change in the team's average
number of points per game?

Over the first 20 games of the season, the distribution of a basketball teams scores-example-1
User Cgenco
by
2.4k points

1 Answer

10 votes
10 votes

Answer

Option A is correct.

The new mean is greater than the previous mean.

Step-by-step explanation

The team's average number of points per game is the mean number of points

In the first 20 games, the mean or average points per game is given as 94 points per game.

So, we need to calculate the new mean know the answer

The mean is the average of the distribution. It is obtained mathematically as the sum of variables divided by the number of variables.

Mean = (Σx)/N

x = each variable

Σx = Sum of the variables

N = number of variables

Σx = 94 + 110 + 102 + 93 + 98 + 99 + 121 + 96 + 94 + 108 = 1015

N = 10

Mean = (Σx)/N = (1015/10) = 101.5 points per game

We can easily see that the mean increases.

Hope this Helps!!!

User Ericharlow
by
2.9k points