Definitions
Mean, Etc.
Median and Mode
Range and IQR
Miscellaneous
100

The difference between the largest and the smallest values

What is range?

100

Find the mean.

13, 18, 13, 13, 14, 21, 13

What is 15?

100

Find the median and mode: 

13, 18, 13, 14, 13, 16, 14, 21, 13

median: 14

mode: 13

100

Find the range.

Ages of Animals (years)

13, 18, 13, 14, 13, 16, 14, 21, 13

What is 8 years?

100

Is this a statistical question? Explain.

How many shoes do you have?

Yes, it is a statistical question. It has more than one correct answer. If you ask more than one person, you're going to get more than one answer.

200

The value that occurs most often

What is mode?

200

Find the mean.

8, 9, 0, 7, 0, 8

What is 5.3 or 5 1/3?

200

On a state licensing test, Jean and her friends got the following scores: 65, 78, 63, 78, 97, 42, and 53. What was their median score?

What is 65 points?

200

Find the range and IQR of this data.

Number of M & M's in a package.

12, 13, 13, 15, 10, 11, 11, 11, 10, 9

Range: 6 M & M's

IQR: 3 M & M's

200

What is the shape of the plot. What percent of the rebounds were 5 or more?

skewed right

75%

300

First, list the numbers in numerical order. Find the middle number. If there are two middle numbers, find the middle of the two numbers.

What is median?

300

Craig has 4 apple trees in his backyard. The first three trees have 34, 29, and 36 apples. Find the number of apples on the fourth tree if the mean is 35 apples.

41 apples

300

Name the 5 number summary for this box and whisker plot. Give the name of the point with its number.

minimum or lower extreme: 0 years

first quartile or lower quartile: 3 years

median: 5 years

third quartile or upper quartile: 8 years

maximum or upper extreme: 12 years

300

Find the range and the interquartile range.

Range: 81 years

IQR: 28.5 years


300

The data shows Casey's scores for the past 5 math tests. Identify the outlier.

88, 55, 89, 91, 86

How will the outlier affect her mean score?

55

It will make her mean lower.

400

Name two types of graphs that are useful for large amounts of data.


large amounts of data: 

box and whisker plots, histograms


400

Find the five number summary.

minimum: 65

first quartile: 81

median: 88

third quartile: 94

maximum: 98

400

Find the median and mode.


Median: 4 points

Mode: 3 points

400

Find and interpret the range and IQR.

Range: 80-20= 60 inches

The distances vary by no more than 60 inches.

IQR: 70-30 = 40 inches

The middle 50% of the distances vary by no more than 40 inches.

400

Describe the shape of the histogram. How many runners ran less than three miles?

skewed left; 20 runners

500

Add up the set of numbers and divide by the total number of values

What is mean?

500

10, 10, 11, 20, 20, 20, 25, 25, 28, 40, 40, 48

Find the mean, median, and mode. 

Which measure of center is the best representation of the data?

mean: 24.75 books

median: 22.5 books

mode: 20 books

The mode and median are a bit too low and don't represent the higher numbers. The mean is the best representation because it represents the lower numbers and the higher numbers.

500

69, 87, 88, 88, 89, 90, 96, 97, 97, 100

Find the median, mode, mean, and range of the data.

median: 89.5 years

mode: 88, 97 years

mean: 90.1 years

range: 31 years

500

Find and interpret the range and the interquartile range.

Range: 6 years

The data varies by no more than 6 years.

Interquartile Range: 3 years

The middle 50% of the data varies by no more than 3 years.

500

Scientists measured 120 trees and graphed the data on the histogram below. 

What fraction of the trees are between 150 and 200 cm tall? 

30 out of 120 

30/120 = 3/12 = 1/4