Question

Identify the minimum, first quartile, median, third quartile, and maximum of the data set. Then make a box-and-whisker plot of the data set race times: 50 35 30 45 30 44 46 47 65 31 39

Answer 1

Step-by-step explanation:

Data set: {50, 35, 30, 45, 30, 44, 46, 47, 65, 31, 39} ​

First we have to order this data set, from least to highest:

Ordered data set: {30, 30, 31, 35, 39, 44, 45, 46, 47, 50, 65}

Now we can identify the minimum, maximum and the quartiles more easily.

The median of the data set is the number in the middle of the data set. In this data set we have 11 numbers, so the median is the number that's in the position number 6: 44

The first and third quartiles are the median of the first and second halves of the data set.

The first quartile is the number in the position number 3: 31

The third quartile is the number in the position number 9: 47

Answers:

• Minimum: 30

,

• Maximum: 65

,

• Median: 44

,

• Q1: 31

,

• Q2: 47

,

• Box-and-whisker plot: