Measures of Central Tendency

• Range

• Mean

• Outlier

• Median

A survey was conducted by a chocolate manufacturing company, about the likes and dislikes of the flavors they marketed. Which measure of central tendency will help them most to make their choice of the most liked flavor?

• Mean

• Range

• Mode

• Median

Tags

CCSS.6.SP.A.3

CCSS.6.SP.B.5

CCSS.6.SP.A.2

Find the mode of the data set.

Identify the outlier.

Find the mode excluding outliers:

100, 100, 100, 20, 120, 90.

• 110, 120, 100

• 100,100, 100

• 20, 100, 20

• 100, 20, 100

The temperature received till Friday was 34, 38, 36, 30 and 31. If the temperature on Saturday drops to 11^oC, how does the inclusion of Saturday's temperature affect the weekly mean temperature?

• increase

• decreases

• does not change

• can not be determined

Tags

CCSS.6.SP.A.3

CCSS.6.SP.B.5

CCSS.6.NS.C.5

The scores shown below were received by four science teams named A, B, C, and D in an examination. Each team reported an "average" of 90. Which of the following is true for the measure of central tendency that was used by the team?

A: 80, 85, 90, 95, 100

B: 93, 92, 90, 90, 91

C: 80, 86, 95, 92, 90

D: 85, 90, 90, 90, 90

• Team D used mean

• Team C used mode

• Team A used mean

• Team B used median

Tags

CCSS.6.SP.A.3

CCSS.6.SP.B.5

By how much will the mean vary if the outlier is included?

79, 69, 81, 73, 38, 86, 68

• 70.6

• 5.9

• 76

• 5.4

Tags

CCSS.6.SP.A.3

CCSS.6.SP.B.5

CCSS.6.SP.A.2

CCSS.6.SP.A.1

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

4, 6, 3, 4, 3, 6, 24

• insufficient information to conclude

• increases

• decrease

• does not change

Tags

CCSS.6.SP.A.3

CCSS.6.SP.B.5

CCSS.6.SP.A.2

Looking at this histogram, which best describes the relationship of the mean, median and mode?

• The mean and mode are in about the same central location. The median is to the right.

• The mean, median and mode are all drastically different from each other.

• The mean and median are in about the same central location, there is no mode.

• The mean, median and mode would all lie in about the same place on the histogram, due to the symmetry.

Describe the relative positions of the mean, median and mode.

Identify the distribution.

• The mean is left most, then the median, and the mode is right most. The graph is skewed left.

• The mode is left most, then the median, and the mean is right most. The graph is skewed right.

• The mean is left most, the mode is in the center and the median is right most. The graph is skewed right.

• The mean, median and mode are all in relatively the same location. The graph is symmetric.

In a uniform distribution, which of the following is true?

• The mean and median are the same

• All classes have approximately the same frequency.

• It is symmetric

• There is no mode