Zahra was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 15, 19, 22, 26, 29 Data with an outlier: 15, 19, 22, 26, 29, 81 How is the median affected by the outlier?

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Mathematics

Cook

1 December, 14:15

Zahra was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 15, 19, 22, 26, 29 Data with an outlier: 15, 19, 22, 26, 29, 81 How is the median affected by the outlier?

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Valeria Wiggins · Answer 1

The median is increased by 2

Step-by-step explanation:

The median is the number in the middle of the data when looked at from lowest value to greatest value. For the first data set, the median is 22. There are five values, and 22 has two values on both sides. For the second data set, the median is 24. Since there is an even number of data values, you have to take the two middle values, which are the values that have the same amount of values on each sides, and then find the average of those two values. To find the average, add up the values you are trying to find the average of, and then divide the sum by the number of values. The two middle values are 22 and 26 because there are two numbers on either side of them. (On the left side, there are the numbers 15 and 19, and on the right side, 29 and 81.) The average of 22 and 26 is 24 because 22 + 26 = 48, and 48/2 = 24. 24 is 2 greater than 22.