A data set is shown.

Question

10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17. 35

Move the options to the blanks to describe the effect removing the outlier, 35, will have on the data set.

The mean of the data set will

The median of the data set will

The range of the data set will.

RESET

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Increase

weanesuay

decrease

not change

Answer 1

To analyze the effect of removing the outlier (35) from the data set, we need to consider how the different statistical measures (mean, median, and range) will be affected:

1. The mean of the data set will:

   • Since the outlier (35) is much higher than the other values, removing it will decrease the mean of the data set.

   Answer: Decrease

2. The median of the data set will:

   • The median is the middle value. When the outlier is removed, the middle value of the remaining numbers will not change as the middle number (which is 14 in the remaining dataset) does not change based on removing the outlier.

   Answer: Not change

3. The range of the data set will:

   • The range is the difference between the maximum and minimum values. After removing the outlier (35), the maximum value in the remaining data set will become 17. The range will therefore decrease.

   Answer: Decrease

Putting it all together:

• The mean of the data set will decrease.
• The median of the data set will not change.
• The range of the data set will decrease.