Center and Spread

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?

(a)  

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.

Which statistic measures how spread out the data values are in a data set?

• mean

• mode

• maximum value

• standard deviation

What does the interquartile range (IQR) measure?

• The range of the entire data set

• The spread of the middle 50% of the data

• The average value of the data set

• The difference between the mean and median

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 of the following is a measure of spread, or variability? (select all that apply)

• Interquartile Range

• Standard Deviation

• Mean

• Median

• Range