Each of the data values in a data set is a different integer between 1 and 50, inclusive. The table gives the frequency of the data for five intervals. Which of the following intervals contains exactly of the values in the data set?

The correct answer is: 31 to 50

Total number of values (frequency) available = 25 (sum of all frequencies)
of the total number of values in the data set =× 25 = 10
∴ we need to find the interval that contains exactly 10 values in it.
Step-by-step solution:-
We check the number of values (frequency) in each interval mentioned in the options-
A) Interval 1 to 20 = 7 + 5 = 12
B) Interval 11 to 30 = 5 + 3 = 8
C) Interval 21 to 40 = 3 + 8 = 11
D) Interval 31 to 50 = 8 + 2 = 10
Interval 31 to 50 contains exactly 10 values.
Final Answer:-
Option D i.e. 31 to 50 is the correct Option.