# Pre-Algebra: Mean, Median,

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Published on February 23, 2014

Author: ms_moran

Source: slideshare.net

Mean, Median, Mode and Range Introduction to Statistics Grade 7 Pre-Algebra Ms. Van Beek

Vocabulary • Mean  The sum of the data in a set divided by the number of items of data. Aka the average. • Median  The middle number of a group of data that has been arranged in numerical order. • Mode  The number that occurs most often. • Range  The difference between the greatest and the least numbers. 2

Mean • Does NOT refer to Ms. Van Beek! • How to find the mean of a group of data:  Take all the numbers and add them together.  Count how many numbers you added.  Divide the sum of the numbers by that number. • Example 1:  The weights of 9 students, measured in pounds, are recorded below. Find the mean weight. • 135, 120, 116, 119, 121, 125, 135, 131, 123 • Example 2:  The mean price of 5 items is \$7.00. The prices of the first four items are \$6.50, \$8.00, \$5.50 and \$6.00. How much does the fifth item cost? 3

Median • How to find the median of a group of data:  Place all of the numbers in order in increasing value.  The middle number is the median.  If there are two middle numbers, then the median is the average of the two middle numbers. • Example 1:  The weights of 9 students, measured in pounds, are recorded below. Find the median of the weights. • 135, 120, 116, 119, 121, 125, 135, 131, 123 • Example 2:  The grade point averages of 10 students are listed below. Find the median grade point average. • 3.15, 3.62, 2.54, 2.81, 3.97, 1.85, 1.93, 2.63, 2.50, 2.80 4

Mode • How to find the mode of a group of data:  Tally the number of times each of the numbers appears in the group of numbers.  The mode is the number that is written the most often. • Example 1:  In a crash test, 11 cars were tested to determine what impact speed was required to obtain minimal bumper damage. Find the mode of the speeds given in miles per hour below. • 24, 15, 18, 20, 18, 22, 24, 26, 18, 26, 24 • Example 2:  A marathon race was completed by 5 participants. What is the mode of these times given in hours? • 2.7 hr, 8.3 hr, 3.5 hr, 5.1 hr, 4.9 hr 5

Range • How to find the range of a group of data:  Find the largest number of the group.  Find the smallest number of the group.  The range is the largest number minus the lowest number in a set of data. • Example 1:  The weights of 9 students, measured in pounds, are recorded below. Find the range of the weights. • 135, 120, 116, 119, 121, 125, 135, 131, 123 • Example 2:  The range of a set of numbers is 1,362. The largest number is 2,172. What is the smallest number? 6

Range • How to find the range of a group of data:  Find the largest number of the group.  Find the smallest number of the group.  The range is the largest number minus the lowest number in a set of data. • Example 1:  The weights of 9 students, measured in pounds, are recorded below. Find the range of the weights. • 135, 120, 116, 119, 121, 125, 135, 131, 123 • Example 2:  The range of a set of numbers is 1,362. The largest number is 2,172. What is the smallest number? 6

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