Question

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? The outlier slightly affected the median. The outlier made the median much higher than all the other values. The outlier made the median much lower than all the other values. The median is the exact same number in both data sets.

Answer 1

A) The outlier slightly affected the median.

Explanation:

Without the outlier, the median is 22, and with the outlier, the median is 24. So the outlier slightly affected the median.

Hope this helps :)

Answer 2

The outlier slightly affected the median.

Explanation:

Given :

Data without an outlier: 15, 19, 22, 26, 29

Data with an outlier: 15, 19, 22, 26, 29, 81

The median :

Data without outlier :

0.5(n + 1) th term

n = 5

0.5(5 + 1) = 0.5(6) = 3rd term

3rd term = 22

Data with outlier :

0.5(n + 1) th term

n = 6

0.5(6 + 1) = 0.5(7) = 3.5th term

(3rd term + 4th term) /2

(22 + 26) / 2

48 / 2

= 24

From the result obtained ; The outlier slightly affected the median.