**Consider the set {4, 5, 7, 8, 8, 12, 13, 13, 15, 18, 20, 22, 24, 26, 27, 37, 38}. if you were dividing the set into intervals, which is the best interval for the first subset of data?**A) 0-7

B) 4-5

C) 4-12

D) 0-10

**Answer:**

C) 4-12

**Step-by-step explanation:**

__A) 0-7__

*Its frequency will only be 3 and there are no numbers from 0 till 3 therefore, this is not the best interval.*

__B) 4-5__

*This interval is too short. If you go on with the intervals, there will be a lot of sets. Therefore, this is not right.*

**C) 4-12**

**The set starts from 4 and so does the interval. The interval 4-12 will have a frequency of 6 and the next intervals will be 13-21, 22-30, 31-39.**

**Therefore, this is the best interval for the data.**

__D) 0-10__

*There are no numbers from 0-3 or 9-10, therefore this is not the best interval.*

**The correct answer is option C) 4-12**

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