Determine the size of the interval used in the histogram using the data below.
time needed to head a frozen dinner in the microwave (min)
4: 30 5: 30 7: 00 4: 45 5: 20 8: 00 3: 45 2: 30 6: 40 6: 00 4: 30
5: 25. use the histogram below in the attachment and explain how you figured out the interval size.

Size of interval is 2 minutes

Step-by-step explanation:

Minimum value in the histogram is 2.30 and highest is 8.00, we can see from the data that from 2 - 4 there is only two values as 2.30 and 3:45 means 2 frequency further from 8 - 10 only one value as 8.00 means 1 frequency.

Thus, it concluded that the intervals are given as :

0 - 2

2 - 4

4 - 6

6 - 8

8 - 10

In this range first value is inclusive only.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.