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

2. Course 1 6-2 Mean, Median, Mode and Range Bear Time 11/10/14 Order the numbers from least to greatest. 1. 8, 6, 25, 7, 4, 12 2. 60, 11, 27, 45, 32 Divide 3. 720 ÷ 44. 76 ÷ 10 4, 6, 7, 8, 12, 25 11, 27, 32, 45, 60 180 7.6

3. Course 1 6-2 Mean, Median, Mode and Range MCC6.SP.5 (DOK 3) Summarize numerical data sets in relation to their context, such as by: c.Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered. MCC6.SP.3 ( DOK1) Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.

4. Course 1 6-2 Mean, Median, Mode and Range E.Q.: How do you find the Median, Mean and Range?

5. Course 1 6-2 Mean, Median, Mode and Range Learn to find the range, mean, and median, of a data set.

6. Course 1 6-2 Mean, Median, Mode and Range Vocabulary range mean median mode

7. Course 1 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 called the average. The mean of this set of data is the average height that the vollyball team could jump. 13232120212418

8. Course 1 6-2 Mean, Median, Mode and Range Additional Example 1A: Finding the Mean of a Data Set Depths of Puddles (in.) 5835421 mean: 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.

9. Course 1 6-2 Mean, Median, Mode and Range Turn on your clicker When your teacher tells you type in your first and last name.

10. Course 1 6-2 Mean, Median, Mode and Range Additional Example 1B: Finding the Mean of a Data Set mean: 96 + 75 + 84 + 7 = 262 183 ÷ 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

11. Course 1 6-2 Mean, Median, Mode and Range Check It Out: Example 1A Find the mean of each data set. Rainfall per month (in.) 12102569 mean: 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.

12. Course 1 6-2 Mean, Median, Mode and Range Check It Out: Example 1B Find the mean of each data set. mean: 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

13. Course 1 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.

14. Course 1 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: 12 + 11 + 14 + 15 4 = 13 median: 11, 12, 14, 15 12 + 14 2 = 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. Car Wash Totals 6 th Grade 127 th Grade 11 8 th Grade 149 th Grade 15

15. Course 1 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: 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 15.5, 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. Bake Sale Totals 6 th Grade 177 th Grade 11 8 th Grade 229 th Grade 14

16. Course 1 6-2 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