Using Technology to Find Quartiles and Draw Graphs In Exercise, use technology to (a) find the data set’s first, second, and third quartiles, and (b) draw a box-and-whisker plot that represents the data set.

Vacation Days The numbers of vacation days used by a sample of 20 employees in a recent year

3 |
9 |
2 |
1 |
7 |
5 |
3 |
2 |
2 |
6 |

4 |
0 |
10 |
0 |
3 |
5 |
7 |
8 |
6 |
5 |

Step 1 of 3:

The data about the number of vacation days used by a sample of 20 employees in a recent year is given.

3 |
9 |
2 |
1 |
7 |
5 |
3 |
2 |
2 |
6 |

4 |
0 |
10 |
0 |
3 |
5 |
7 |
8 |
6 |
5 |

Step 2 of 3:

(a)

The median is the middle most value of the data set after arranging the data in an order (Q2).First quartile is the median of data points which is below the median (Q1).Third quartile is the median of data points which is above the median (Q3).We can find the quartiles by using Minitab.

Enter the given data in MinitabGo to Stat

Select Basic StatisticChoose Display descriptive statistics

Select the data set Select the statistics we want

Then press ok.

So, the first quartile of the data set, Q1=2.

The second quartile of the data set, Q2=4.5.

The third quartile of the data set, Q3=6.750.