Effects of Measure of Center

What happens if 45 is removed from the data set?

35, 45, 22, 32, 43, 45, 45

• the mode will decrease

• the mode will stay the same

• the mean will increase

What will happen to the median if a 8 is added to the data set?

8, 2, 5, 9, 8

• the median will increase

• the median will decrease

• the median will stay the same

What happens to the mode if 98 is removed from the data set?

100, 102, 36, 98, 99, 98, 100

• there will be no mode

• the mode will be 98

• the mode will be 98 and 100

• the mode will be 100

When finding the median, what do you do if there are two middle numbers?

• Add them together and divide by 2

• Write them both as the answer

• Give up

• Pick one

The tennis team needs to raise money by selling raffle tickets. The box plots show how many tickets were sold over 15 days by 3 students. What is the appropriate measure of center for Daniel?​ (a)  

• Median

• Mean

• Range

• IQR

The frequency table shows the gas mileages of several vehicles. The data would be ​ (a)   so the best measure of center would be the ​ (b)   and the best measure of variation would be the ​ (c)   ​ ​

• Skewed Right

• median

• Interquartile Range

• Skewed Left

• Symmetrical

• Mean

• Mean Absolute Deviation

Annabel is comparing the distances that two electric cars can travel after the battery is fully charged. Use the measures of center to make an inference about the data. Use the drop-down menus to complete your answer. ​ (a)   can travel further than ​ (b)   after the battery is fully charged.

• Car B

• Car A

The data set below has an outlier of 42.
2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42
What effect does removing the outlier have on the distribution of the data?

• The mean will decrease

• The median will decrease

• The mean will increase

• The median will increase

Your math grades are {0, 80, 90, 90, 90, 100} If the outlier is removed, what will happen?

• The median will increase

• The median will decrease

• The mean will increase

• The mean will decrease

The number of pages that Maycee wrote in her journal each day from Monday to Friday is shown below: What is the mean number of pages she wrote per day?

• 5

• 6

• 9

• 11