We are given a table with data of the top ten countries with the highest average weekly teen spending.
Top Ten Countries Average Weekly Teen Spending
Norway
$ 49.70
Sweden
$ 41.70
Brazil
$ 41.30
Argentina
$ 40.50
Hong Kong
$ 38.00
United States
$ 37.60
Denmark
$ 37.40
Singapore
$ 34.10
Greece
$ 32.90
France
$ 31.30
We are asked to find the five-number summary and then to draw a box plot. To do that let's first 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. Let's split the set into two equal parts.
The median is splits the data set in half, so it is between the values 37.6 and 38.0. Therefore, median is equal to the average of the values 37.6 and 38.0. Let's calculate it!
Median=37.6+38.0/2=37.8
Now let's find the quartiles. The first quartile Q1 is the median of the lower half.
Finally, we will identify the minimum and maximum values of the data set.
We found the five-number summary! Now let's draw a box plot of the data. First, let's mark all the values from the five-number summary 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.
