Question

Which measure does not change if the outlier is discarded from the data?

A data set shows various people's heart rates after exercising: ninety, ninety, ninety-four, ninety-six, one hundred sixty

mean

median

mode

range

Answer 1

Which data value is the outlier?

Answer 2

idk

Answer 3

90, 90, 94, 96, 160
Which of the above values differs greatly from the others?

Answer 4

?

Answer 5

oh 160

Answer 6

Good work! Yes,160 differs greatly in value from all the other values. That means 160 is the outlier.
So the sets of values with and without the outlier are:
{90, 90, 94, 96, 160} and {90, 90, 94, 96}
The mean is the sum of the numbers in the set divided by the quantity of numbers in the set. Even without calculating we can see that the values for the mean will be different for each set.
The median is the middle value in each set. The median will also be different for each set.
The range is the lowest and the highest value in each set. Obviously the ranges will not be the same for each set.
The mode is the most frequently occurring value in each set. Which is the most frequently occurring value in each set?

Answer 7

range?

Answer 8

Which value occurs the most often in each of the sets below?
{90, 90, 94, 96, 160} and {90, 90, 94, 96}

Answer 9

90

Answer 10

Correct! The value 90 appears twice in the original set of data values and in the set with the outlier taken out. The mode is the most frequently appearing value in a set of data values. Therefore the MODE is the only parameter that does not change when the outlier is removed.