Learn to find the mean, median, mode and range of a data set.

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Presentation transcript:

Learn to find the mean, median, mode and range of a data set.

Vocabulary mean median mode range

Players on a volleyball team measured how high they could jump Players on a volleyball team measured how high they could jump. The results in inches are recorded in the table. 18 24 21 20 23 13 One way to describe this data set is to find the mean. The mean is the sum of all the items divided by the number of items in the set. Sometimes the mean is also called the average. The mean of this set of data is the average height that the vollyball team could jump.

Additional Example 1A: Finding the Mean of a Data Set Find the mean of each data set. 1 2 4 5 3 8 Depths of Puddles (in.)‏ mean: 5 + 8 + 3 + 5 + 4 + 2 + 1 = 28 28 ÷ 7 = 4 Add all values. Divide the sum by the number of items. The mean is 4 inches.

Number of Points Scored Additional Example 1B: Finding the Mean of a Data Set Find the mean of each data set. 7 84 75 96 Number of Points Scored mean: 96 + 75 + 84 + 7 = 262 262 ÷ 4 = 65.5 Add all values. Divide the sum by the number of items. The mean is 65.5 points. The average number of points scored is 65.5.

Rainfall per month (in.)‏ Check It Out: Example 1A Find the mean of each data set. 9 6 5 2 10 1 Rainfall per month (in.)‏ mean: 1 + 2 + 10 + 2 + 5 + 6 + 9 = 35 35 ÷ 7 = 5 Add all values. Divide the sum by the number of items. The mean is 5 inches.

Number of Points Scored Check It Out: Example 1B Find the mean of each data set. 12 47 26 53 Number of Points Scored mean: 53 + 26 + 47 + 12 = 138 138 ÷ 4 = 34.5 Add all values. Divide the sum by the number of items. The mean is 34.5 points. The average number of points scored is 34.5.

Some other descriptions of a set of data are called the median, mode, and range. The median is the middle value when the data are in numerical order, or the mean of the two middle values if there are an even number of items. The mode is the value or values that occur most often. There may be more than one mode for a data set. When all values occur an equal number of times, the data set has no mode. The range is the difference between the least and greatest values in the set.

Additional Example 2: Finding the Mean, Median, Mode, and Range of a Data Set Find the mean, median, mode, and range of the data set. 9th Grade 15 8th Grade 14 7th Grade 11 6th Grade 12 Car Wash Totals mean: 12 + 11 + 14 + 15 4 = 13 Write the data in numerical order. 11, 12, 14, 15 median: 11, 12, 14, 15 There are an even number of items, so find the mean of the two middle values. 12 + 14 2 = 13 mode: none range: 15 – 11 = 4 The mean is 13, the median is 13, there is no mode, and the range is 4.

Check It Out: Example 2 Find the mean, median, mode, and range of the data set. 9th Grade 14 8th Grade 22 7th Grade 11 6th Grade 17 Bake Sale Totals mean: 17 + 11 + 22 + 14 4 = 16 Write the data in numerical order. 11, 14, 17, 22 median: 11, 14, 17, 22 There are an even number of items, so find the mean of the two middle values. 14 + 17 2 = 15.5 mode: none range: 22 – 11 = 11 The mean is 16, the median is 15.5, there is no mode, and the range is 11.