Which histogram matches the data set below?
data range: 0-10, 10-20, 20-30, 30-40, 40-50
frequency: 5, 10, 25, 15, 10

We are given the data range and frequency of the data set as follows:

       Data Range:            Frequency:

           0-10                            5

           10-20                          10

           20-30                         25

           30-40                          15

           40-50                            10

This means that the first bar is of the smallest height  and the height of first bar is: 5

The second bar is greater than the first with ha height of 10

The third bar has the highest height of 25

and then the fourth bar is smaller than the third bar with a height of 15 and the fifth bar has a height of 10.

Hence, the histogram that matches the data set is the figure attached to the answer.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value

27 +27 or 27times 2=54

the diffrence is 0