Data Spread and Center

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

Which of the following best describes the shape of the distribution?

• skewed left

• skewed right

• uniform

• symmetrical

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

Which of the following best describes the shape of the distribution?

• skewed left

• skewed right

• uniform

• symmetrical

Which summary statistic should be used to compare the two data sets and why?

• The median and the interquartile range because they are normally distributed.

• The median and the interquartile range because they are skewed.

• The mean and the standard deviation because they are normally distributed.

• The mean and the standard deviation because they are skewed.

A class scored 83,83,87,87,88,88,91,94,95,96,98,100,100 on a test, but then a student scored a 28.

The mean will ​ (a)  

The median will ​ (b)  

The ​ (c)   is the best measure of center for this data.

• decrease

• increase

• stay the same

• go up

• go down

• median

• mean

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

• standard deviation

• interquartile range

• range

• median

Which describes the shape of the distribution?

• skewed right

• skewed left

• symmetric

• uniform

Which measure of center will be the smallest?

(Remember which one pulls toward the tail)

• median

• mean

• mode

Describe the shape of the graph.

• skewed

• symmetrical

• uniform