Emma, Sally, and Olivia play for the school basketball team. The dot plots show the number of points each of them scored in 20 games.
Dot plot graph on points scored in a basketball game for Emma, Sally, and Olivia. The number line represents ‘points scored’ ranging from 6 to 14. Circles on numbers represent ‘ 20 games.
Find the interquartile range, IQR, for each dot plot. Then, place the basketball players in order from greatest to least IQR.
To find the interquartile range (IQR) for each dot plot, we need to find the lower quartile (Q1) and the upper quartile (Q3) for each dataset.
For Emma's dot plot:
- Q1 = 11
- Q3 = 13
- IQR = Q3 - Q1 = 13 - 11 = 2
For Sally's dot plot:
- Q1 = 12
- Q3 = 13
- IQR = Q3 - Q1 = 13 - 12 = 1
For Olivia's dot plot:
- Q1 = 10
- Q3 = 12
- IQR = Q3 - Q1 = 12 - 10 = 2
Now, let's compare the IQRs for each player:
Emma: IQR = 2
Sally: IQR = 1
Olivia: IQR = 2
Arranging the players in order from greatest to least IQR, we have:
Emma (IQR = 2)
Olivia (IQR = 2)
Sally (IQR = 1)