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Information about Pre-Algebra: Mean, Median,

Published on February 23, 2014

Author: ms_moran

Source: slideshare.net

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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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