Points scored

Question

85. 78. 90
52. 81. 79

The table shows the Points a basketball team scored in different games. When the outlier is removed from the data set, what happens to the mean Points scored by the basketball team?

Answer 1

To determine the outlier, we need to find the number that is clearly outside the range of the other numbers. From the data, we can see that 52 is significantly lower than the rest of the numbers, so it is likely the outlier.

To remove the outlier, we will recalculate the mean by adding up the remaining scores and dividing by the number of scores minus one (since we are removing one score):

New mean = (85 + 78 + 90 + 81 + 79) / 4 = 82.6

So when the outlier is removed, the mean points scored by the basketball team increases from 73 to 82.6.