8) An orchard uses a histogram each year to track the number of apples produced per apple tree. The number of apples harvested from the trees this year are 41, 43, 45, 46, 48, 49, 50, 51, 53, 54, 55, and 56. For this situation, which is the appropriate way to label the number of apple intervals on the x-axis? A) 41 - 46; 46 - 49; 49 - 52; 53 - 56 B) 41 - 45; 46 - 50; 51 - 55; 56 - 60 C) 40 - 44; 45 - 49; 50 - 55 D) 40 - 50; 50 - 55

The Answer is B.) 41 - 45; 46 - 50; 51 - 55; 56 - 60

Step-by-step explanation:

A histogram has equal intervals that do not overlap. 41 - 45; 46 - 50; 51 - 55; 56 - 60 is correct because there are equal intervals of 4 with no overlap.

B) 41 - 45; 46 - 50; 51 - 55; 56 - 60

Explanation:

When you build a histogram the intervals must be of the same size. About 4 to 8 intervals is good but it also depends on the number of data and the range of those data.

Option D has only two intervals. That is too few. Thus, this is discarded. Three intervals also seems few. Thus, option C, is not good.

The option A shows intervals of different size:

46 - 41 = 4 49 - 46 = 3 52 - 49 = 3 56 - 53 = 3

Thus, this is not good either.

The optio B seems good:

Interval Frequency

45 - 41 = 4 3 50 - 46 = 4 4 55 - 51 = 4 4 60 - 56 = 4 1

Hence, the correct answer is B) 41 - 45; 46 - 50; 51 - 55; 56 - 60