Question

Make a box-and-whisker plot of the data
5, 7, 2, 6, 7, 10, 12, 7, 9, 13, 5

Answer 1

To create a box-and-whisker plot of the data {5, 7, 2, 6, 7, 10, 12, 7, 9, 13, 5}, we first need to arrange the data in ascending order:

2, 5, 5, 6, 7, 7, 7, 9, 10, 12, 13

Next, we find the median, lower quartile (Q1), and upper quartile (Q3) of the data:

Median (Q2): (7th value + 8th value) / 2 = (7 + 9) / 2 = 8
Q1: Median of the lower half of the data (2, 5, 5, 6, 7) = (5 + 5) / 2 = 5
Q3: Median of the upper half of the data (9, 10, 12, 13) = (10 + 12) / 2 = 11

Now, we can create the box-and-whisker plot:

----- |-----| |-----| |------
2 5 8 11 13

In this plot, the median (Q2) is represented by the line within the box, Q1 is the left edge of the box, Q3 is the right edge of the box, and the whiskers extend to the minimum and maximum values in the data set (2 and 13).