Lesson 11

Unit 1 Lesson 11

Comparing and Contrasting Data Distributions

Multiple Select

What are the measures of center? Select all that apply.

• mean

• median

• mean absolute deviation (MAD)

• interquartile range (IQR)

Multiple Select

What are the measures of variabilty? Select all that apply.

• mean

• median

• mean absolute deviation (MAD)

• interquartile range (IQR)

Multiple Choice

When you have symmetric or uniform data what is the best measure of center?

• mean

• median

Multiple Choice

When your data is symmetric or uniform what measure of variability do you use?

• mean absolute deviation (MAD)

• interquartile range (IQR)

Multiple Choice

When data is skewed to the right or left what is the best measure of center?

• mean

• median

Multiple Choice

When your data is skewed what measure of variability do you use?

• mean absolute deviation (MAD)

• interquartile range (IQR)

Measures of Variability

When comparing measures of variability (IQR or MAD) a lower value tells you this particular data is less variable, and less spread out than a data set with a higher measure of variability.

Measures of Variability

Dot plot B has a lower MAD than Dot Plot A. I can tell Dot Plot B is less variable and has a lower MAD because the data points are clustered at 10. Dot Plot A will have a higher MAD because the data points are more spread out (they go from 6 to 14).

Fill in the Blanks

p.67 #3

Multiple Select

p.67 #4 Select all the distribution shapes for which the median could be much less than the mean.

• symmetric

• bell-shaped

• skewed left

• skewed right

• bimodal

Fill in the Blanks

p.67 #5a What is the five-number summary for the data 0, 2, 2, 4, 5, 5, 5, 5, 7, 11? (Just write the list of numbers in this order: Min, Q1, Med, Q3, Max)

Fill in the Blanks

p.67 #5b When the minimum, 0, is removed from the data set, what is the five-number summary?

Open Ended

page 68 #6 What effect does eliminating the highest value, 180, from the data set have on the mean and the median? Please be specific. Tell me if it went up/down and by how much for each.

Multiple Choice

p.68 #7 The histogram represents the distribution of the number of seconds it took for each of 50 students to find the answer to a trivia question using the internet. Which interval contains the median. Hint- Instead of writing out data points and finding the middle, write out intervals and find the middle interval.

• 0 to 5 seconds

• 5 to 10 seconds

• 10 to 15 seconds

• 15 to 20 seconds