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Use the table to answer the question. This table displays the points scored by a basketball team in different games. Points Scored 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? (1 point) The mean points scored decreases by 8.7. The mean points scored increases by 5.1. The mean points scored increases by 8.7. The mean points scored decreases by 5.1.

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To determine how removing the outlier affects the mean points scored by the basketball team, we first need to identify the outlier in the data set: 85, 78, 90, 52, 81, 79.

Next, we calculate the mean with all scores:

  1. Calculate the total points: \( 85 + 78 + 90 + 52 + 81 + 79 = 465 \)

  2. Calculate the number of games: There are 6 games.

  3. Calculate the mean: \[ \text{Mean} = \frac{\text{Total Points}}{\text{Number of Games}} = \frac{465}{6} = 77.5 \]

Now, we identify the outlier. In this context, 52 appears to be significantly lower than the other scores, so we remove this value.

Next, we recalculate the mean without the outlier (52):

  1. Calculate the new total points: \( 85 + 78 + 90 + 81 + 79 = 413 \)

  2. Now, there are 5 games left.

  3. Calculate the new mean: \[ \text{New Mean} = \frac{\text{New Total Points}}{\text{Number of Remaining Games}} = \frac{413}{5} = 82.6 \]

Now we compare the new mean to the old mean:

  • Old Mean: 77.5
  • New Mean: 82.6

Finally, we find the difference between the new mean and the old mean: \[ 82.6 - 77.5 = 5.1 \]

Thus, when the outlier is removed, the mean points scored by the basketball team increases by 5.1.

The answer is: The mean points scored increases by 5.1.