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? A) The median increases by 5. B) The median increases by 5.5. Eliminate C) The median decreases by 1. D) The median does not change.

Answer 1

Answer:b

Step-by-step explanation:

A data with values

98,94,93,82,61,80 is given

If we arrange the number according to their values

61,80,82,93,94,98

Median of set

$\frac{82+93}{2}=87.5$

Now if 61 is removed then

80,82,93,94,98 are the remaining data

so New median is 93

So the median is increased by 5.5

Therefore option b is correct