Question

In a year-long music course, you are required to attend 12 concerts. Last season, the lengths of the concerts were 92, 101, 98, 112, 80, 119, 92, 90, 116, 106, 78, and 65 minutes. Find the five-number summary for the data. Which boxplot would best represent the data?

Answer 1

Hello!

The five-number summary is the lowest number, highest number, median, quartile 1 and quartile 3

First you should order the numbers from least to greatest.

65, 78, 80, 90, 92, 92, 98, 101,106, 112, 116, 119

The lowest number is 65

The highest number is 119

Next you can find the median

The median is the number in the middle

The two numbers in the middle are 92 and 98

Since there are two numbers you take the average

92 + 98 = 190

190/2 = 95

The median is 95

Now we know the answer is either A or B

Next you can find the lower quartile

The lower quartile is the median of the numbers under the median

So we list all the numbers under 95

65, 78, 80, 90, 92, 92

The numbers in the middle are 80 and 90

The average between these two is 85

So the lower quartile is 85

From this we know the answer is B

The answer is B

Hope this helps!