1. Copyright © Ed2Net Learning, Inc.1 Median & Range Grade 4

2. Copyright © Ed2Net Learning, Inc.2 Let’s warm up : Find the Mean of these numbers? 1) 5, 6, 8, 9, 8 2) 2, 7, 12, 8, 13, 6 3) 5, 6, 8, 9, 8 4) 2, 7, 12, 8, 13, 6 Find the Mode of these numbers?

3. Copyright © Ed2Net Learning, Inc.3 Let’s review what we did in the last session Mean: It is just the average of the numbers. To find the mean, find the sum of the numbers in the data set and divide the sum by the number of addends. Mode: is the number that occurs most frequently in a data set. If no number is repeated, then there is no mode for the list. To find the mode or modal value you have to put the numbers you are given in an order.

4. Copyright © Ed2Net Learning, Inc.4 Review Find the Mean of these numbers? 6, 8, 7 Add the numbers: 6 + 8 + 7 = 21 Divide by the number of numbers : 21 ÷ 3 = 7 The Mean is 7. 3, 7, 5, 13, 20, 23, 39, 23, 40, 23, 14, 12, 56, 23, 29 Add the numbers: 3+7+5+13+20+23+39+23+40+23+14+12+56+23+29 = 330 The mean is equal to 330 ÷ 15 = 22 The mean of the numbers is 22.

5. Copyright © Ed2Net Learning, Inc.5 Review Negative Numbers Adding a negative number is the same as subtracting the number. Find the Mean of these numbers? 7, -2, 9, 13, -5 The sum of these numbers is: = 7-2+9+13-5 = 22 Divide by the number of numbers. = 22 ÷ 5 = 4.4 There are 5 numbers. The mean of the numbers is 4.4.

6. Copyright © Ed2Net Learning, Inc.6 A student has gotten the following grades on his tests: 87, 95, 76, and 88. What is the average grade he achieved in the test? Add the scores : 87 + 95 + 76 + 88 = 346 The scores are: 87, 95, 76, and 88 Divide the sum of the scores by the number of numbers : 346 ÷ 4 = 86.5 The average grade achieved by the student is 86.5. Review

7. Copyright © Ed2Net Learning, Inc.7 Review Find the mode for the following list of values: 13, 18, 13, 14, 13, 16, 14, 21, 13 Rewrite the list in order: 13, 13, 13, 13, 14, 14, 16, 18, 21 The mode is the number that is repeated more often than any other. So, 13 is the mode. Mode: 13

8. Copyright © Ed2Net Learning, Inc.8 Review 1, 2, 4, 7 Find the mode for the following list of values: The mode is the number that is repeated most often, but all the numbers appear only once. Then there is no mode. Mode: 0

9. Copyright © Ed2Net Learning, Inc.9 Let’s start with Median and range Apart from Mean and Mode there are other measures also. These are Median and Range. Today we will learn about these two terms. Median: It's the middle number in a sorted list. To find the Median, place the numbers you are given in numerical order and find the middle number.

10. Copyright © Ed2Net Learning, Inc.10 There can be two cases when finding the median for a given list of values. Case1: If there are an odd amount of numbers. Position of Middle number = (Total number of numbers + 1) ÷ 2 Case2: If there are an even amount of numbers. In that case we need to find the middle pair of numbers. The median is the mean (the usual average) of the middle two values. The median is the value of the middle number.

11. Copyright © Ed2Net Learning, Inc.11 Find the median for the following list of values: 13, 18, 13, 14, 13, 16, 14, 21, 13 We rewrite the list in order: 13, 13, 13, 13, 14, 14, 16, 18, 21 There are nine numbers in the list. Our middle number will be the fifth number. The median value of this set of numbers is 14. 13, 13, 13, 13, 14, 14, 16, 18, 21 Median = 14

12. Copyright © Ed2Net Learning, Inc.12 1, 2, 4, 6, 7, 8 Find the median for the following list of values: We see that there are an even amount of numbers i.e. 6. So, the middle pair of numbers are: 3 and 4 The numbers are already listed in numerical order, so you don't have to rewrite the list. 1, 2, 4, 6, 7, 8 To find the value half-way between them, add them together and divide by 2: 4 + 6 = 10 10 ÷ 2 = 5 The median value of this set of numbers is 5. Median = 5

13. Copyright © Ed2Net Learning, Inc.13 20, 19, 13, 10, 18, 11, 19, 15, 12, 10 Find the median for the following list of values: We rewrite the list in order: 10, 10, 11, 12, 13, 15, 18, 19, 19, 20 There are ten numbers in the list. So, the middle pair of numbers are: 13 and 15 10, 10, 11, 12, 13, 15, 18, 19, 19, 20 Add middle pair of numbers together and divide by 2: 13 + 15 = 28 28 ÷ 2 = 14 The median value of this set of numbers is 14. Median = 14

14. Copyright © Ed2Net Learning, Inc.14 Range: It is the difference between the greatest and least number in a data set. To find the Range in a given data set, Subtract the Smallest number from Greatest number i.e. Range = Largest value - Smallest value

15. Copyright © Ed2Net Learning, Inc.15 Find the range for the following list of values: 13, 18, 13, 14, 13, 16, 14, 21, 13 We rewrite the list in order: 13, 13, 13, 13, 14, 14, 16, 18, 21 Smallest value in the list is 13. AND Largest value in the list is 21. Range = Largest value - Smallest value = 21 – 13 = 8 The Range of this set of numbers is 8. Range = 8

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18. Copyright © Ed2Net Learning, Inc.18 Assignments Find the median for the following list of values: 1) 5, 6, 8, 9, 8 2) 12, 7, 12, 8, 13, 6 3) 14, 12, 11, 10, 17, 13, 14 4) 16, 13, 12, 13, 15, 16, 12, 15, 17

19. Copyright © Ed2Net Learning, Inc.19 Find the range for the following list of values: 5) 5, 6, 8, 9, 8 6) 12, 7, 12, 8, 13, 6 7) 14, 12, 11, 10, 17, 13, 14 8) 16, 13, 12, 13, 15, 16, 12, 15, 17

20. Copyright © Ed2Net Learning, Inc.20 Find the Median and Range for the following list of values: 9) 56, 47, 56, 48, 53, 56 10) 24, 22, 21, 16, 19, 23, 24

21. Copyright © Ed2Net Learning, Inc.21 Very Good! Let's Review Median: It's the middle number in a sorted list. To find the Median, place the numbers you are given in numerical order and find the middle number. Range: It is the difference between the greatest and least number in a data set. To find the Range in a given data set, Subtract the Smallest number from Greatest number i.e. Range = Largest value - Smallest value

22. Copyright © Ed2Net Learning, Inc.22 Review There can be two cases when finding the median for a given list of values. Case1: If there are an odd amount of numbers. Position of Middle number = (Total number of numbers + 1) ÷ 2 Case2: If there are an even amount of numbers. In that case we need to find the middle pair of numbers. The median is the mean (the usual average) of the middle two values. The median is the value of the middle number.

23. Copyright © Ed2Net Learning, Inc.23 Review Find the median for the following list of values: 13, 18, 13, 14, 13, 16, 14, 21, 13 We rewrite the list in order: 13, 13, 13, 13, 14, 14, 16, 18, 21 There are nine numbers in the list. Our middle number will be the fifth number. The median value of this set of numbers is 14. 13, 13, 13, 13, 14, 14, 16, 18, 21 Median = 14

24. Copyright © Ed2Net Learning, Inc.24 Review 1, 2, 4, 6, 7, 8 Find the median for the following list of values: We see that there are an even amount of numbers i.e. 6. So, the middle pair of numbers are: 3 and 4 The numbers are already listed in numerical order, so you don't have to rewrite the list. 1, 2, 4, 6, 7, 8 To find the value half-way between them, add them together and divide by 2: 4 + 6 = 10 10 ÷ 2 = 5 The median value of this set of numbers is 5. Median = 5

25. Copyright © Ed2Net Learning, Inc.25 Review Find the range for the following list of values: 13, 18, 13, 14, 13, 16, 14, 21, 13 We rewrite the list in order: 13, 13, 13, 13, 14, 14, 16, 18, 21 Smallest value in the list is 13. AND Largest value in the list is 21. Range = Largest value - Smallest value = 21 – 13 = 8 The Range of this set of numbers is 8. Range = 8

26. Copyright © Ed2Net Learning, Inc.26 You have done a nice job. Remember to do the practice sheets!