Question

Match the term to the correct value for the data set.

{12, 16, 3, 18, 5, 5, 9, 11, 15, 8, 10, 21, 17, 19, 23, 14}
Median
8.5
First Quartile
17.5
Third Quartile
13

Answer 1

Step-by-step explanation:

Median: C) 13

First Quartile: A) 8.5

Third Quartile: B) 17.5

Step-by-step explanation:

To find the median, we need to arrange the numbers in ascending order:

{3, 5, 5, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 21, 23}.

Since there are an even number of values, we take the average of the middle two numbers:

(10 + 11)/2 = 10.5.

To find the first quartile, we need to find the median of the lower half of the data set.

The lower half is {3, 5, 5, 8, 9, 10, 11, 12}.

Since there are an even number of values, we take the average of the middle two numbers:

(8 + 9)/2 = 8.5.

To find the third quartile, we need to find the median of the upper half of the data set.

The upper half is {14, 15, 16, 17, 18, 19, 21, 23}.

Since there are an even number of values, we take the average of the middle two numbers:

(17 + 18)/2 = 17.5.