We are given data in a table for Calories burned per minute of exercise.
Exercise
Jogging
Jumping Rope
Basketball
Soccer
Bicycling
Downhill Sking
Walking
Calories Burned
8
7
7
6
5
5
4
We will be analyzing the numerical values of calories burned.
We are asked to find the five-number summary of the data. To do that, we first need to write the data from least to greatest.
Now that the data is in increasing order, we can identify the median which is the middle value of the data set.
Now we will identify the first and third quartile. Let's split the data into two halves.
First quartile is the median of the lower half and the third quartile is the median of the upper half.
Finally, we will identify the minimum and the maximum value of the data set.
We found the five-number summary of the data!
We are asked to draw a box plot to represent the data for Calories burned per minute. To do that, we will use the five-number summary of the data that we found in Part A.
Minimum
1st Quartile
Median
3rd Quartile
Maximum
4
5
6
7
8
These values will be crucial when drawing the box plot. First, we will mark all of these values above the number line.
Now let's draw a straight line between the minimum values and the first quartile and another line between the third quartile and maximum value.
Next, we will draw a box around the median. The sides of the box should go through the points representing the first and third quartile.
Finally, we will finish our box plot by drawing a line inside the box going through the point representing the median.
