Appropriate Measures of Central Tendency

What effect will the outlier have on the median of the data if the outlier is excluded?

2, 2, 2, 2, 8, 2, 24

• insufficient information to conclude

• decreases

• does not change

• increases

• first increase and then decreases

The price of a cheese pizza in five different pizza delivery shops are 5, 5, 4, 6, 6, 8, and $7. Find the mean price of a cheese pizza.

• $7

• $4

• $5

• $6

Mathew sold 78 apples on Monday, 58 apples on Tuesday, 80 apples on Wednesday, and 64 apples on Thursday. Find the average number of apples sold by Mathew.

• 60

• 50

• 70

• 140

the number of roses grown in each garden in a particular month is represented in a pictograph. What is the mean number of roses grown in that month?

• 70

• 7

• 20

• 280

The stem-and-leaf plot shows the age of all the U.S. Olympic Soccer Team players. Find the median age of the players.

• 26.5

• 26

• 25

• 25.5

A set of data is given: 3, 7, 11, 11, 16
Jesse calculated a measure of central tendency and got 9.6, which measure of central tendency did he just calculate?

• Mean

• Median

• Mode

• Range

If you have two numbers in the middle, you should

• add them together and divide by two

• find the number in between the two

• find the mean of the two numbers

• all of these

In which of the following situations would the mean be an appropriate measure of central tendency?
I. when the data set contains no outliers
II. when using categorical data
III. when an exact average is needed
IV. when the middle value is needed 

• II and III only

• I and III only 

• I, III, and IV only

• All of the above

Roger tried to fill up fifteen bottles of water with the same amount of water. The amounts of water in the bottles were measured in ounces.
15.4, 15.5, 16.5, 14.6, 16.2, 14.3, 14.8, 16.6, 15.3, 14.7, 16.9, 17.2, 15, 15.7, 15.8
Which would be the best measure of center for these amounts of water? 

• range

• median

• mode

• mean

This statistical number is the middle number of the data set.

• Mean

• Median

• Mode

• Range