Interpret Variability

The table shows the points earned by contestants in a competition. Find the range and the interquartile range of the points.

• Range: 15; IQR: 13

• Range: 15; IQR: 12

• Range: 15; IQR: 11

• Range: 15; IQR: 10

Given a variance of 64, what is the standard deviation?

• 8

• 4096

• 0

• 6.8

Which dot plot shows more consistency, LESS variation? a or b?

• a

• b

Sylvia believes that the students in Term 2 had a higher average number of minutes of exercise than Term 1 because the IQR and Standard Deviation is higher for that group of students. Do you agree?

• Sylvia is correct. Since the standard deviation and IQR for Term 2 students is higher, this means that students spent more time exercising, on average, than Term 1.

• Sylvia is incorrect. The standard deviation and the IQR shows that there is greater variability in the amount of time exercising for Term 2 students compared to Term 1, but it does not tell us that the group spent more time exercising than Term 1.

Which dot plot shows more variability? a or b?

• a

• b

Which dot plot shows more variability? 

• a

• b

Which answer choice best describes the variability of the two data sets?

• The variability of the data recorded for JJ Wright is 3 times greater than the variability of the data recorded for Holly Creek.   

• The variability of the data recorded for both JJ Wright and Holly Creek is about the same. 

• The variability of the data recorded for JJ Wright is of the variability of the data recorded for Holly Creek.

• There is not enough information to determine the variability for either school.

Does the situation have variability: How many text messages you send each day?

• Variability

• No Variability

The best description of the data is ​ ​ (a)   . ​ ​ The most appropriate measure of center is the​ ​ (b)   . The most appropriate measure of variability is the ​ ​ (c)   .

• range

• mean

• skewed left

• median

• IQR

• skewed right

• symmetric

• symmetric with an outlier

The best description of the data is ​ ​ (a)   . ​ The most appropriate measure of center is the​ ​ (b)   . The most appropriate measure of variability is the ​ ​ (c)   .

• range

• mean

• skewed left

• mean

• range

• skewed right

• symmetric

• symmetric with an outlier