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

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:

Thus, this is not good either.

The optio B seems good:

        Interval                   Frequency

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

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.