Question

A data set includes the following grades: 98, 94, 93, 82, 61, 80. Suppose that 61 is removed from the data. How is the median affected?

Answer 1

93 is the mediam

Explanation:

because the 93 is the only onethat is left in the middle and that doesn't have pair

Answer 2

If we remove 61 from the data set, the median changes from 87.5 to 93.

Explanation:

1. Let's calculate the median of the original data set:

Median = (3rd term + 4th term)/2 because the number of terms are even and our median mark is the average of the two middle marks, in this case, 82 and 93.

Median = (82 + 93)/2

Median = 87.5

2. Let's calculate the median of the data set removing 61:

Median = 3rd term because our median mark is the middle mark, in this case, 93. It is the middle mark because there are 2 scores before it (80 and 82) and 2 scores (94 and 98) after it.

Median = 93