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Holt CA Course 1 7-1 Mean, Median, Mode, and Range SDAP1.1 Compute the range, mean, median, and mode of data sets. California Standards.

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Presentation on theme: "Holt CA Course 1 7-1 Mean, Median, Mode, and Range SDAP1.1 Compute the range, mean, median, and mode of data sets. California Standards."— Presentation transcript:

1 Holt CA Course 1 7-1 Mean, Median, Mode, and Range SDAP1.1 Compute the range, mean, median, and mode of data sets. California Standards

2 Holt CA Course 1 7-1 Mean, Median, Mode, and Range Vocabulary mean median mode Range outlier

3 Holt CA Course 1 7-1 Mean, Median, Mode, and Range Players on a volleyball team measured how high they could jump. The results in inches are recorded in the table. 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. 13232120212418

4 Holt CA Course 1 7-1 Mean, Median, Mode, and Range Teacher Example 1A: Finding the Mean of a Data Set Depths of Puddles (in.) 5835421 5 + 8 + 3 + 5 + 4 + 2 + 1 = 28 28 ÷ 7 = 4 The mean is 4 inches. Add all values. Divide the sum by the number of items. Find the mean of each data set.

5 Holt CA Course 1 7-1 Mean, Median, Mode, and Range Teacher Example 1B: Finding the Mean of a Data Set 96 + 75 + 84 + 7 = 262 262 ÷ 4 = 65.5 The mean is 65.5 points. The average number of points scored is 65.5. Add all values. Divide the sum by the number of items. Find the mean of each data set. Number of Points Scored 9675847

6 Holt CA Course 1 7-1 Mean, Median, Mode, and Range Student Practice 1A: Find the mean of each data set. Rainfall per month (in.) 1 2102569 1 + 2 + 10 + 2 + 5 + 6 + 9 = 35 35 ÷ 7 = 5 The mean is 5 inches. Add all values. Divide the sum by the number of items.

7 Holt CA Course 1 7-1 Mean, Median, Mode, and Range Student Practice 1B: Find the mean of each data set. 53 + 26 + 47 + 12 = 138 138 ÷ 4 = 34.5 The mean is 34.5 points. The average number of points scored is 34.5. Add all values. Divide the sum by the number of items. Number of Points Scored 53264712

8 Holt CA Course 1 7-1 Mean, Median, Mode, and Range Some other descriptions of a set of data are called the median, mode, and range. The range is the difference between the least and greatest values in the set. 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.

9 Holt CA Course 1 7-1 Mean, Median, Mode, and Range Teacher Example 2: Finding the Mean, Median, Mode, and Range of a Data Set range: 15 – 11 = 4 mean: 12 + 11 + 14 + 15 4 = 13 median: 11, 12, 14, 15 12 + 14 2 = 13 mode: none The mean is 13 cars washed; the median is 13 cars washed; there is no mode; and the range is 4 cars washed. Write the data in numerical order: 11, 12, 14, 15. There are an even number of items, so find the mean of the two middle values. Find the mean, median, mode, and range of the data set. Car Wash Totals 6 th Grade 127 th Grade 11 8 th Grade 149 th Grade 15 Add all the values. Divide the sum by the number of items. No value occurs most often. Subtract the least value from the greatest value.

10 Holt CA Course 1 7-1 Mean, Median, Mode, and Range Student Practice 2: range: 22 – 11 = 11 mean: 17 + 11 + 22 + 14 4 = 16 median: 11, 14, 17, 22 14 + 17 2 = 15.5 mode: none The mean is $16; the median is $15.50; there is no mode; and the range is $11. Write the data in numerical order: 11, 14, 17, 22. There are an even number of items, so find the mean of the two middle values. Find the mean, median, mode, and range of the data set. Bake Sale Profits ($) 6 th Grade 177 th Grade 11 8 th Grade 229 th Grade 14 Add all the values. Divide the sum by the number of items. No value occurs most often. Subtract the least value from the greatest value.

11 Holt CA Course 1 7-1 Mean, Median, Mode, and Range Lesson Quiz Use the following data set: 18, 20, 56, 47, 30, 18, 21. 1. Find the range.2. Find the mean. 3. Find the median.4. Find the mode. 5. Bonnie ran a mile in 8 minutes, 8 minutes, 7 minutes, 9 minutes, and 8 minutes. What was her mean time? 3830 21 18 8 minutes


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