Assessing Visual Overlap of Numerical Data Distributions

Which statistical measure is most appropriate for measuring the variability of this data?

• range

• interquartile range

Answer explanation

Because this distribution is skewed left, the standard deviation will be distorted by extreme values. Therefore, the interquartile range is the more appropriate measure of variability.

Look at the image above. Which measure of variability should you use?

• Mean

• MAD

• IQR

• Median

The tennis team needs to raise money by selling raffle tickets. The box plots show how many tickets were sold over 15 days by 3 students. What is the appropriate measure of Variability for Maria?​ ​ (a)  

• Mean

• Range

• IQR

• Median

The data shown in the line plot is ​ (a)   , therefore the ​ (b)   would be the best measure of variability.

• skewed

• symmetrical

• interquartile range

• range

What describes the spread of the data values?

• Mean

• Median

• Measure of Variability

• Measure of Center

Which of the following is likely to have the greatest variability?

• The cost of a piece of candy from a vending machine

• The height of all the students at West Middle School

• The age of all the students in the sixth grade

• The number of days in a month

If we use the mean to measure the typical value or center of the data, we would use the _________ to measure the variability.

• IQR

• Median

• Mean

• Standard Deviation

Tags

CCSS.6.SP.A.3

CCSS.6.SP.B.5

Mark recorded her resting pulse rate at different times of the day. Her data is shown and labeled as data set 𝐴. A = {50,50,50,50,52, 52, 52 ,53, 56, 56, 57, 57, 58, 58, 58,60,60,60} Mark added two measurements of her pulse rate during exercise to create the new data set 𝐵, as shown. B = {50,50,50,50,52, 52, 52 ,53, 56, 56, 57, 57, 58, 58, 58,60,60,60,100,122} What measure of variability will be affected the most by the addition of the two new pulse measurements?

• mean

• median

• range

• interquartile range

Which are measures of variability? Select ALL that apply.

• IQR

• Mean

• MAD

• Range

• Median

The most appropriate measure of variability for this data distribution is __________.

• IQR

• MAD

Tags

CCSS.6.SP.A.1

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5