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Shape, Center, and Spread Basics

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

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

a)

skewed left

b)

skewed right

c)

uniform

d)

symmetrical

2.

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

(a)  

3.

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

a)

skewed left

b)

skewed right

c)

uniform

d)

symmetrical

4.

Given that the data is symmetric, which pair of measures should be used to represent the data?

a)

center: median

spread: standard deviation

b)

center: mean

spread: IQR

c)

center: mean

spread: standard deviation

d)

center: median

spread: IQR

5.

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

a)

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

b)

The median and the interquartile range because they are skewed.

c)

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

d)

The mean and the standard deviation because they are skewed.

6.

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

a)

standard deviation

b)

interquartile range

c)

range

d)

median

7.

Which describes the shape of the distribution?

a)

skewed right

b)

skewed left

c)

symmetric

d)

uniform

8.

Which measure of center will be the smallest?

(Remember which one pulls toward the tail)

a)

median

b)

mean

c)

mode

9.

Describe the shape of the graph.

a)

skewed

b)

symmetrical

c)

uniform

10.

What is the shape of the distribution?

a)

symmetric

b)

uniform

c)

skewed to the right

d)

skewed to the left

11.

Because this distribution is ____________ to the ___________, we would use the ______________ for the center and the _____________ for the spread of the data.

a)

symmetric, middle, median, IQR

b)

skewed, left, median, IQR

c)

skewed, left, mean, IQR

d)

skewed, right, median, standard deviation

12.

What is the shape of the data shown?

a)

Skewed left

b)

Skewed Right

c)

Symmetric

d)

Bell shaped

13.

The dot plots show the gas mileage, in miles per gallon, for several cars and SUV's. Which type of vehicle has a larger spread?

a)

cars

b)

SUVs

14.

What is the shape of the data?

a)

symmetrical

b)

skewed left

c)

skewed right

d)

uniform

15.

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

a)

skewed left

b)

skewed right

c)

uniform

d)

symmetrical

16.

Find the IQR of the distribution.

(only type in the number)

(a)  

17.

This distribution is skewed to the (a)   .

18.

Find the interquartile range?

a)

8

b)

6

c)

5

d)

4

19.

Which distribution has a larger Interquartile Range?

(a)  

20.

Which distribution has the largest median?

(a)