The difference between the largest and the smallest values
What is range?
Find the mean.
13, 18, 13, 13, 14, 21, 13
What is 15?
Find the median and mode:
13, 18, 13, 14, 13, 16, 14, 21, 13
median: 14
mode: 13
Find the range.
Ages of Animals (years)
13, 18, 13, 14, 13, 16, 14, 21, 13
What is 8 years?
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.
The value that occurs most often
What is mode?
Find the mean.
8, 9, 0, 7, 0, 8
What is 5.3 or 5 1/3?
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?
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
What is the shape of the plot. What percent of the rebounds were 5 or more?
skewed right
75%
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?
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
Find the range and the interquartile range.
Range: 81 years
IQR: 28.5 years
Describe the shape of the histogram. How many runners ran less than three miles?
skewed left; 20 runners
Name two types of graphs that are useful for large amounts of data.
Name three types of graphs that show the spread of the data.
large amounts of data:
box and whisker plots, histograms
Spread of data:
box and whisker plots, dot plots, stem and leaf plots, histograms
Find the five number summary.
minimum: 65
first quartile: 81
median: 88
third quartile: 94
maximum: 98
Find the median and mode.
Median: 4 points
Mode: 3 points
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.
Scientists measured 120 trees and graphed the data on the histogram below.
What percent of the trees are between 150 and 200 cm tall?
What is 25%?
30 out of 120
30/120 = 3/12 = 1/4
1/4 = 25/100
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.
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
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.
Find the mode, median, minimum, and maximum of the data.
mode: 83
median: 84
minimum: 80
maximum: 89