Use: 0, 4, 6, 11, 9, 8, 9, 1, 5, 9, 7 to construct a box-and-whisker plot. List the the maximum, minimum, and quartiles below.

minimum 0

1st quartile 3

median is 7

2nd quartile is 9

maximum value is 11

Step-by-step explanation:

To construct the plot, we need ;

1. minimum value

2. 1st quartile

3. median value

4. 3rd quartile

5. Maximum value

To get all these, we need to rearrange from the smallest to the highest

We have;

0,1,4,5,6,7,8,9,9,9,11

The smallest term is 0

The first quartile can be obtained using the formula;

(n + 1)/4

where n is the number of terms, 11 in this case

so we have (11 + 1)/4 = 12/4 = 3

The 3rd term is the lower quartile which is 4

Next, we calculate median which is the middle number counting from any of the ends

The middle number in this case is 7

The upper quartile is

3/4(n + 1) = 3/4 * 12 = 9 th term

9th term here is 9

maximum value is 11

Please check attachment for the plot

the correct answer is b) histograms can be used to exhibit the shape of distributions. this is because histograms count the frequency of each possible answer, so one is able to see which results are more common and which are less common.