Question

a basketball coach records the number of points the team has scored during each game so far. the table shows the results.
65
77
59
82
72
68
71
if during the next game, the team scores 105 points, which statement is true?
o the value 105 is an outlier that will skew the data to the left.
o the value 105 is an outlier that will skew the data to the right.
o the value 105 is not an outlier and it will not skew the data in either direction
o the value 105 is not an outlier and the effect on the data is unknown

Explanation:

1. First, recall the concept of an outlier: a value that is significantly different from the other data points. The existing scores are 65, 77, 59, 82, 72, 68, 71. Most of these values are in the range of 59 - 82. 105 is much larger than these values, so it is an outlier.
2. Then, consider the effect of an outlier on the data distribution: an outlier with a larger value than the rest of the data will pull the mean (and can also affect the skewness) to the right (in the direction of the larger value). So 105, being a large outlier, will skew the data to the right.

Answer:

The value 105 is an outlier that will skew the data to the right.