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

The outlier slightly affected the median.

Step-by-step 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.

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step-by-step explanation: