3.5-3.6 Boxplots SOCS Spring 2025

For this set of data, describe the relationship between the mean and median.

• Mean < Median

• Mean > Median

• The mean and median are approximately equal

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Which measure of center will be the smallest?

(Remember which one pulls toward the tail)

• median

• mean

• mode

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

When is the median a better choice for measure of center compared to the mean?

• When the distribution is symmetric

• When the distribution is almost symmetric

• When the distribution is strongly skewed

• When there are a lot of data values

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

If outliers are removed, what changes more significantly the mean or median?

• Mean

• Median

If a distribution is skewed to the right with no outliers, 

• mean<median
• mean>median
• mean=median
• can not determine

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Given that the data is symmetric, which pair of measures should be used to represent the data?

• center: median

  spread: standard deviation

• center: mean

  spread: IQR

• center: mean

  spread: standard deviation

• center: median

  spread: IQR

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Should we use the mean or the median to represent the center of the data?

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Which measure of center will be the smallest?

(Remember which one pulls toward the tail)

• median

• mean

• mode

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Which measure of spread should be used to describe the distribution?

• standard deviation

• interquartile range

• range

• median

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Because this distribution is ____________ to the ___________, we would use the ______________ for the center and the _____________ for the spread of the data.

• symmetric, middle, median, IQR

• skewed, left, median, IQR

• skewed, left, mean, IQR

• skewed, right, median, standard deviation

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2