62 64 66 68 70 72
Mean: 69 Median: 67 Mode: 83, 61
step 1. arrange the numbers in ascending order (from low to high) as follows. was: 64 80 64 70 76 79 67 72 65 73 68 65 67 65 70 62 67 68 65 64 now: 62 64 64 64 65 65 65 65 67 67 67 68 68 70 70 72 73 76 79 80 step 2. count the number of the numbers above, or assign an index as follows. string: 62 64 64 64 65 65 65 65 67 67 67 68 68 70 70 72 73 76 79 80 index: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 so the count is 20. The mode is the number most frequently observed. The mode is 65, which occurs four times. The median is the number in the middle. In this case, the 10th and 11th numbers both qualify for consideration. We take the average of the two numbers. The median is therefore 67. Alternate methods: 1) Use Microsoft Excel statistical functions of =mode() and =median() 2) Draw a bar graph with the horizontal axis of integers from 62 to 80. The y-axis is the frequency observed for that specific x value. For example, the frequency for 62 is one. The frequency for 63 is zero, and so on. The mode is the bar with the highest count. The median is not so obvious from a bar graph, unless the distribution is symmetric. Need some manual counting.
70.5 The median is the middle value, so I'll have to rewrite the list in order: 53 54 59 62 64 65 66 68 70 71 75 78 83 83 86 90 91 94 There are 18 numbers in the list, so there is no "middle" number. So, you take the average of the middle two numbers, which is 70 and 71. So the median is 70.5.
6, 16, 26, 36, 46, 56, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69,76, 86, 96
62 64 66 68 70 72
It is 66.
All are composite except 61 and 67. Composite numbers: 60, 62, 63, 64, 65, 66, 68, 69, 70
65
Range: 24 Median: 59.5 Mode: 57, 61, 58, 54, 68, 51, 65, 75
Median means being in the middle. 48, 64 X 80, 48 ? An example: 17, 20, 36 the median is 20
Mean: 69 Median: 67 Mode: 83, 61
step 1. arrange the numbers in ascending order (from low to high) as follows. was: 64 80 64 70 76 79 67 72 65 73 68 65 67 65 70 62 67 68 65 64 now: 62 64 64 64 65 65 65 65 67 67 67 68 68 70 70 72 73 76 79 80 step 2. count the number of the numbers above, or assign an index as follows. string: 62 64 64 64 65 65 65 65 67 67 67 68 68 70 70 72 73 76 79 80 index: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 so the count is 20. The mode is the number most frequently observed. The mode is 65, which occurs four times. The median is the number in the middle. In this case, the 10th and 11th numbers both qualify for consideration. We take the average of the two numbers. The median is therefore 67. Alternate methods: 1) Use Microsoft Excel statistical functions of =mode() and =median() 2) Draw a bar graph with the horizontal axis of integers from 62 to 80. The y-axis is the frequency observed for that specific x value. For example, the frequency for 62 is one. The frequency for 63 is zero, and so on. The mode is the bar with the highest count. The median is not so obvious from a bar graph, unless the distribution is symmetric. Need some manual counting.
60, 62, 63, 64, 65, 66, 68, 69, 70
70.5 The median is the middle value, so I'll have to rewrite the list in order: 53 54 59 62 64 65 66 68 70 71 75 78 83 83 86 90 91 94 There are 18 numbers in the list, so there is no "middle" number. So, you take the average of the middle two numbers, which is 70 and 71. So the median is 70.5.
6, 16, 26, 36, 46, 56, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69,76, 86, 96
Arrange the numbers in ascending order and pick out the middle number but sometimes the two middle numbers need to be added and divided by 2 if there are an even set of numbers. ____________________________________________________ The middle number (in a sorted list of numbers). To find the Median, place the numbers you are given in value order and find the middle number. Example: find the Median of {13, 23, 11, 16, 15, 10, 26}. Put them in order: {10, 11, 13, 15, 16, 23, 26} The middle number is 15, so the median is 15. (If there are two middle numbers, you average them.) Accordingly: The median for: 94 83 78 70 66 68 75 53 54 is: 94, 83, 78, 75, 70, 68, 66, 54, 53 The median is : 70 The median for: 59 83 91 64 65 71 62 86 90 is: 91, 90, 86, 83, 71, 65, 64,, 62, 59 The median is 71