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Mean, Median and Mode Mean What is it? An (arithmetic) mean is the average of a set of n numbers. How do you find it? Add all the elements in a set. Then, divide by the number of elements. Examples: The mean of 7 and 11 is 9. 7+11 The mean of -6, -3, 2, 4, and 4 is .2 (5 elements in the set) Jim's math test scores were 78, 88, 91, and 94.
There are two middle numbers so we need to find the mean of these two numbers – the answer is the median. Example 1: Find the median of each set of numbers. a) 17 yd, 20 yd, 15 yd, 20 yd, 11 yd, 7 yd. b) 46, 53, 33, 53, 79. c) 20, 24, 20, 26, 24, 24, 26, 24, 29, 26, 21. Example 2:
obtain the following formula for the mean (¯x). x¯ = x n Example Find the mean of: 6,8,11,5,2,9,7,8 x = x n = 6+8+11+5+2+9+7+8 8 = 56 8 =7 Median The median value of a set of data is the middle value of the ordered data. That is, the data must be put in numerical order first. Worked examples Find the median of the following: a) 11,4,9,7,10,5,6
Unit 8.1 Mean, Median, and Mode. Find the mode, median, and mean for each data set.
The mean median mode range is the entry-level topic under the bigger umbrella of statistics. Mean refers to the average value of the population of data. Median refers to the central value of the data but before finding it, all the values must be arranged in a decreasing or increasing order.
What is the median? First we rearrange the list into increasing order 1, 1 ,1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 6, 7, 9 And then we find the ‘middle’ number. The middle number here is 3 Therefore the median is 3. (iii) What is the mode? The mode is the number that appears most often. The mode is 1, as four houses have only 1 occupant.
(a) Write down the mode of the 10 marks. …………………………… (1) (b) Work out the median mark of the boys. …………………… (2) (c) Work out the range of the girls’ marks. …………………… (1) (d) Work out the mean mark of all 10 students. …………………… (2) (Total 6 marks) 10. Here are ten numbers. 7 6 ...
