comparing mean and median

Which statements are true about the median? Check all that apply.

• Put the values in numerical order before trying to find the median.

• Median is a number that is much lower or much higher than the rest of the numbers.

• The median is always greatly impacted by outliers.

• The median is the number in the middle of an ordered set of values.

• The median must be calculated by finding the mean of the two middle points when there is an even number of data points.

Find the median of

12, 8, 6, 4, 10, 1

• 6

• 6.5

• 7

• 7.5

Find the median of

6, 3, 5, 11, 2, 9, 5, 0  

• 5

• 5.5

• 6.5

• 6

Find the median of

30, 16, 49, 25

• 27.5

• 32.5

• 45

• 55

Some of Mrs. Turay’s eighth graders took the PSAT test. Score totals of ten of her students are below. Calculate the mean and the median, and determine which provides a better view of the score data.

Scores:

60, 62, 67, 69, 70, 70, 71, 75, 76, 120

What is the mean test score?

• 68.9

• 70

• 74

• 82.2

Some of Mrs. Turay’s eighth graders took the PSAT test. Score totals of ten of her students are below. Calculate the mean and the median, and determine which provides a better view of the score data.

Scores:

60, 62, 67, 69, 70, 70, 71, 75, 76, 120

What is the median test score?

• 70

• 71

• 81

• 81.5

Some of Mrs. Turay’s eighth graders took the PSAT test. Score totals of ten of her students are below. Calculate the mean and the median, and determine which provides a better view of the score data.

Scores:

60, 62, 67, 69, 70, 70, 71, 75, 76, 120

Which measure of center best represents the test data?

• mean

• median

• both mean and median

• neither mean and median

Which sets contain one or more outliers? Check all that apply.

• 187, 298, 239, 1, 984, 202, 191

• 5, 3, 8, 6, 3, 6, 1, 2, 0

• 15, 19, 21, 16, 25, 13, 17

• 56, 1, 5, 72, 67, 59, 74, 60

• 88, 7, 32, 31, 34, 39, 34, 35, 33

What error did Luke make?

• He forgot to put the numbers in order first.

• He crossed off the low and high pairs incorrectly.

• He left out a number when putting the numbers in order.

• He did not make an error.

Consider the data set:   11, 3, 8, 2, 9, 1, 4

Jennifer said the median of the set is 2, because it is the middle value in the data set.

Do you agree?

• Yes

• No