Measures of Central Tendency

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

The mode score on the 9th grade math test was 94! Which of these interpretations must be correct?

• 99 was the highest score on the test.

• More students received a 94 than any other score

• No student scored below a 50

• A score of 91 was slightly below average.

To find the ________ you put all numbers in order from least to greatest and find the number that is in the middle.

• Mean

• Median

• Mode

• Range

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

Calculate the median for this set of data
22, 32, 44, 11, 5, 28, 19, 30.

• Median=22

• Median=24.5

• Median=25

• Median=28

Calculate the median for this set of data.
100, 55, 98, 140, 101, 98, 53, 57, 70

• 101

• 100

• 98.5

• 98

Which set of data has a higher mean?
BOB:  1.3, 3.1, 4.1, 2.5, 2.2,  2.8
MEGAN: 5.5, 1.1, 1.2, 2.4, 3.8, 2.0, 1.9

• BOB > MEGAN

• BOB < MEGAN

• BOB=MEGAN

Your math grades are 90, 85, 58, 90, 80, 100, and 90.  Which grade is the outlier?

• 90

• 58

Madison has test scores of 93, 82, 86, and 75. What must she score on her next test to have an average of 86?

• 94

• 90

• 86

• 88