Averages and Probability: example 5.53

Kristen received the following scores on her weekly math quizzes:

$83, 79, 85, 86, 92, 100, 76, 90, 88, and 64 .$ Find her median score.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Find the median of the data set: $8, 7, 5, 10, 9, 12 .$

How did it go?

Find the median of 83, 79, 85, 86, 92, 100, 76, 90, 88, and 64.
List the numbers in order from smallest to largest.	64, 76, 79, 83, 85, 86, 88, 90, 92, 100
Count the number of data values in the set. Call this $n.$	$n = 10$
Is $n$ odd or even?	even
The median is the mean of the two middle values, the 5th and 6th numbers.
Find the mean of 85 and 86.	$mean = \frac{85 + 86}{2}$
	$mean = 85.5$
	Kristen's median score is 85.5.

Find the median of 83, 79, 85, 86, 92, 100, 76, 90, 88, and 64.
List the numbers in order from smallest to largest.	64, 76, 79, 83, 85, 86, 88, 90, 92, 100
Count the number of data values in the set. Call this $n.$	$n = 10$
Is $n$ odd or even?	even
The median is the mean of the two middle values, the 5th and 6th numbers.
Find the mean of 85 and 86.	$mean = \frac{85 + 86}{2}$
	$mean = 85.5$
	Kristen's median score is 85.5.