This question is incomplete because it lacks the diagram showing the box plots as well as correct options to choose from
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Complete Question:
Mrs. Kelso and Mr. Bonham gave each of their students a small bag of colored tiles. The students each counted the number of purple tiles they received. The box plots display the data for both classes. Which statement is best supported by the information in the box plots?
a. The range of the data for Mr. Bonham’s class is less than the range of the data for Mrs. Kelso’s class.
b. The data for Mrs. Kelso’s class are more symmetrical than the data for Mr. Bonham’s class.
c. The median number of the data for Mr. Bonham’s class is less than the median number of the data for Mrs. Kelso’s class.
d. The interquartile range of the data for Mrs. Kelso’s class is greater than the interquartile range of the data for Mr. Bonham’s class.
Answer:
a. The range of the data for Mr. Bonham’s class is less than the range of the data for Mrs. Kelso’s class.
Explanation:
From the box plot, we can see data for Mr Bonham's class and Mrs Kelso's class.
Interpreting the box plot:
For Mr Bonham's class, the data from the box plot is obtained as between the range of 6 and 16. This means:
6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16
Calculating the range for Mr Bonham's class,
Range = Highest - Lowest = 16 - 6 = 10
For Mrs. Kelso's class, the data from the box plot is obtained as between the range of 5 and 17. This means:
5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17
Calculating the range for Mr Bonham's class,
Range = Highest - Lowest = 17 - 5= 12
Therefore, from the calculation above, affect comparing the range of data from Mr Bonham's class to that of Mrs Kelso's class we can see that Option a. "The range of the data for Mr. Bonham’s class is less than the range of the data for Mrs. Kelso’s class." Is the correct Option.