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

6-2 Mean, Median, Mode and Range Warm Up Order the numbers from least to greatest. 1. 8, 6, 25, 7, 4, , 11, 27, 45, 32 Divide ÷ ÷ 10 4, 6, 7, 8, 12, 25 11, 27, 32, 45,

6-2 Mean, Median, Mode and Range 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

6-2 Mean, Median, Mode and Range Learn to find the mean, median, mode and range of a data set.

6-2 Mean, Median, Mode and Range Vocabulary mean median mode range

6-2 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. The mean of this set of data is the average height that the vollyball team could jump

6-2 Mean, Median, Mode and Range Additional Example 1A: Finding the Mean of a Data Set Depths of Puddles (in.) ‏ mean: = ÷ 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.

6-2 Mean, Median, Mode and Range Additional Example 1B: Finding the Mean of a Data Set mean: = ÷ 4 = 65.5 The mean is 65.5 points. The average number of points scored is Add all values. Divide the sum by the number of items. Find the mean of each data set Number of Points Scored

6-2 Mean, Median, Mode and Range Check It Out: Example 1A Find the mean of each data set Rainfall per month (in.) ‏ mean: = ÷ 7 = 5 The mean is 5 inches. Add all values. Divide the sum by the number of items.

6-2 Mean, Median, Mode and Range Check It Out: Example 1B Find the mean of each data set. mean: = ÷ 4 = 34.5 The mean is 34.5 points. The average number of points scored is Add all values. Divide the sum by the number of items Number of Points Scored

6-2 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.

6-2 Mean, Median, Mode and Range Additional Example 2: Finding the Mean, Median, Mode, and Range of a Data Set Write the data in numerical order.11, 12, 14, 15 range: 15 – 11 = 4 mean: = 13 median: 11, 12, 14, = 13 mode: none The mean is 13, the median is 13, there is no mode, and the range is 4. 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. 9 th Grade 158 th Grade 14 7 th Grade 116 th Grade 12 Car Wash Totals

6-2 Mean, Median, Mode and Range Check It Out: Example 2 Write the data in numerical order.11, 14, 17, 22 range: 22 – 11 = 11 mean: = 16 median: 11, 14, 17, = 15.5 mode: none The mean is 16, the median is 15.5, there is no mode, and the range is 11. 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. 9 th Grade 148 th Grade 22 7 th Grade 116 th Grade 17 Bake Sale Totals

6-2 Mean, Median, Mode and Range Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

6-2 Mean, Median, Mode and Range Lesson Quiz Use the following data set: 18, 20, 56, 47, 30, 18, 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? minutes

6-2 Mean, Median, Mode and Range 1. Identify the range of the following data set. 20, 22, 58, 48, 32, 20, 23 A. 38 B. 28 C. 18 D. 8 Lesson Quiz for Student Response Systems

6-2 Mean, Median, Mode and Range 2. Identify the mean of the following data set. 20, 25, 60, 42, 30, 20, 20 A. 31 B. 34 C. 38 D. 42 Lesson Quiz for Student Response Systems

6-2 Mean, Median, Mode and Range 3. Identify the median of the following data set. 20, 22, 58, 48, 32, 20, 23 A. 48 B. 32 C. 23 D. 20 Lesson Quiz for Student Response Systems

6-2 Mean, Median, Mode and Range 4. Identify the mode of the following data set. 20, 28, 55, 48, 30, 20, 25 A. 20 B. 23 C. 25 D. 32 Lesson Quiz for Student Response Systems

6-2 Mean, Median, Mode and Range 5. Rebecca spent $7, $12, $8, and $13 over the past 4 days buying vegetables. What was the mean amount spent on vegetables? A. $10 B. $9 C. $8 D. $7 Lesson Quiz for Student Response Systems