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Quartiles and Interquartile Range

Total questions: 15

Worksheet time: 25mins

Name
Class
Date
1.

The median is always equal to one of the values in the data set.

a)

True

b)

False

2.

The median is the midpoint between the smallest and largest values in the data set.

a)

True

b)

False

3.

In a data set with 25 different values, if you change the two smallest values in the data set to smaller values, the median will not be changed.

a)

True

b)

False

4.

What do quartiles split data up into?

a)

halves

b)

thirds

c)

fourths

d)

fifths

5.

What is an interquartile range?

a)

The difference between the upper and lower quartiles.

b)

The measure of the middle half of the data.

c)

A measure of variability.

d)

All of the above

e)

None of the above

6.

What is the first step to take when attempting to find IQR?

a)

Find the lower and upper quartile.

b)

Find the median.

c)

Put the list of numbers in order.

d)

Subtract the lower and upper quartile.

7.

The table shows the average monthly temperature for St. Louis. The median for this data is (a)   .

8.

The table shows the average monthly temperature for St. Louis. The lower quartile (Q1) for this data is (a)   .

9.

The table shows the average monthly temperature for St. Louis. The upp er quartile (Q3) for this data is (a)   .

10.

The table shows the average monthly temperature for St. Louis. You have already found the lower and upper quartiles. The Interquartile Range (IQR) is (a)   .

11.

If St. Louis has an IQR of 33 and San Francisco has an IQR of 6.5, what can you conclude about the temperature of the 2 cities?

4 lines
12.

This list shows the different precipitation amounts in 13 western US states. The median of this list is (a)   .

13.

This list shows the different precipitation amounts in 13 western US states. The lower quartile (Q1) of this list is (a)   .

Write your answer as a decimal.

14.

This list shows the different precipitation amounts in 13 western US states. The upper quartile (Q3) of this list is (a)   .

15.

This list shows the different precipitation amounts in 13 western US states. The Interquartile Range (IQR) of this data is (a)   . Write your answer as a decimal.