Question

Liam designed a survey to find out how many pets each student in his class had.

Number of pets
0 4 1 5 2 1 6 4 6 3 0 6 3 0 2 5
Which box plot represents the data?

Answer 1

Answer: The first box plot represents the data

Explanation:

Firstly, you need to organize the numbers in chronological order. Once we can do this you can start to collect the data that would be relevant for the box plot. So, the numbers range from 0-6. Both box plots have this correct. To find the next set you would find the mean of each halves of the data. The upper set of data would be 5 rounded up. The lower sets mean would be 1 rounded down.

Answer 2

Answer: The top box plot.

Explanation:

A box-and-whisker plot uses the outliers or the lowest and highest value, the different quartiles, and the median to graph.

First, we will put this data in order from least to greatest:

0 0 0 1 1 2 2 3 3 4 4 5 5 6 6 6

The lowest value is 0 and the highest is 6, this is reflected in both of the plots given.

Next, we can find the median. We will find the middle value when listed from lowest to greatest.

0 0 0 1 1 2 2 3 3 4 4 5 5 6 6 6 ➜ - - - - - - - 3 3 - - - - - - -

The median is 3. This is reflected in both of the plots given.

Lastly, we will find the different quartiles. We have the lower quartile and the upper quartile. To do this, we will find the median for under 3 and over 3 in our data.

Lower: 0 0 0 1 1 2 2 ➜ - - - 1 - - -

Upper: 4 4 5 5 6 6 6 ➜ - - - 5 - - -

The lower quartile is 1 and the upper quartile is 5.

This leads us to the top box plot.