QUARTILES, DECILES, OUTLIERS

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

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

The data below represent the ages of several people in a class.What effect does Mr. Smith’s age have on the data set?

• Mr. Smith’s age increases the mode of the data.
• Mr. Smith’s age decreases the mean of the data.
• Mr. Smith’s age increases the mean of the data.
• Mr. Smith’s age increases the median of the data.

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

A data set is shown below.
56, 64, 73, 59, 98, 65, 59
If the outlier is removed from the data set, which measure of central tendency will be least affected?

• range
• mode
• median
• mean

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

A realtor wants to give a customer an idea of housing prices in a neighborhood. All the houses are priced within $20,000 of one another, except one house that is much larger and more expensive than the rest. Which measure(s) of central tendency will be most affected by the one expensive house?

• Mode only
• Mean only
• Both mode and mean
• Both mean and median

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

A data set contains only one outlier. Which statistical measure will most likely remain the same if the outlier is removed?

• Mean
• Mode
• Range
• Standard deviation

Tags

CCSS.HSS.ID.A.3

Find the median of the box and whisker plot.

• 58

• 60

• 62

• 64

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.4

CCSS.6.SP.B.5

Find the Quartile 1 of the box and whisker plot.

• 60

• 62

• 64

• 66

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.4

CCSS.6.SP.B.5

Find the Quartile 3 of the box and whisker plot.

• 58

• 64

• 60

• 66

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.4

CCSS.6.SP.B.5

Find the median of these numbers:

2, 3, 4, 5, 5, 5, 7,

• 3

• 4

• 5

• 6

Tags

CCSS.6.SP.A.3

CCSS.6.SP.B.5

Find the range of these numbers:

2, 3, 4, 5, 5, 5, 7,

• 4

• 6

• 3

• 5