Make a box-and-whisker plot to represent the data set.
video game prices: $29 $29 $50 $39 $45 $20 $40
First, we need to find the minimum, maximum, median, and quartiles of the data set:
Minimum: $20
First Quartile (Q1): $29
Median: $39
Third Quartile (Q3): $45
Maximum: $50
To make the box-and-whisker plot, we draw a number line and label it with the minimum, Q1, median, Q3, and maximum:
$20 $29 $39 $45 $50
Then, we draw a box from Q1 to Q3:
┌───────┐
│ │
└───────┘
Next, we draw a line through the box at the median:
┌───────┐
│ │
└───┬───┘
Finally, we draw whiskers from the ends of the box to the minimum and maximum:
┌───────┐
│ │
───┬───┴───┬───
$20 $50
This box-and-whisker plot shows that the data is skewed right, with most of the data clustered between $29 and $45. The lowest price is $20 and the highest price is $50.