Mean, Median, Mode, and Range 6-2 Mean, Median, Mode, and Range Course 1 Warm Up Problem of the Day Lesson Presentation

Warm Up Joan started with 26 yards of fabric. She used 6 1/8 yards for her first project and 5 ¾ yards for the second project. How much fabric does she have left?

Problem of the Day Ms. Red, Ms. Blue, and Ms. Green attended a holiday party. They each wore a different-colored dress, red, blue, or green. Ms. Red said to the lady wearing the blue dress, “Did you notice that none of us is wearing a dress with the color that corresponds to our name?” Who wore which color dress? Ms. Red: green; Ms. Blue: red; Ms. Green: blue

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

Vocabulary range mean median mode

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. 13 23 21 20 24 18 The mean Find the sum of all the items. Divide the sum by how many numbers there are.

Additional Example 1A: Finding the Mean of a Data Set Find the mean of each data set. Depths of Puddles (in.) 5 8 3 4 2 1 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. Number of Points Scored 96 75 84 7 mean: 96 + 75 + 84 + 7 = 263 183 ÷ 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. Rainfall per month (in.) 1 2 10 5 6 9 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. Number of Points Scored 53 26 47 12 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 number-put in order from L to G 1st! 2 middle numbers-add them and divide by 2 The mode is the number or numbers that occur most often. There can be no mode or several The range is the difference between the least and greatest numbers 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. Car Wash Totals 6th Grade 12 7th Grade 11 8th Grade 14 9th Grade 15 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. Bake Sale Totals 6th Grade 17 7th Grade 11 8th Grade 22 9th Grade 14 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.

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? 38 30 21 18 8 minutes