Question

a food magazine published a listing of local restaurant ratings. use the data to complete the histogram below. restaurant ratings 18 4 4 22 10 21 5 7 21 7 3 7 4 19 click to set the height of the missing bar. restaurant ratings number of restaurants rating 1 - 5 6 - 10 11 - 15 16 - 20 21 - 25

Explanation:

Step1: Count ratings in 11 - 15

There are no ratings in the 11 - 15 range (0 ratings).

Step2: Count ratings in 16 - 20

The ratings 18, 19 are in the 16 - 20 range, so there are 2 ratings.

Step3: Analyze histogram construction

We need to find the number of ratings in the 16 - 20 range for the missing bar. Since there are 2 ratings in this range, the height of the bar for 16 - 20 should be 2. But looking at the existing bars and the data counting for other intervals:

• For 1 - 5: ratings 4, 4, 4, 5, 3, 4 give 5 ratings.
• For 6 - 10: ratings 10, 7, 7, 7 give 4 ratings.
• For 21 - 25: ratings 22, 21, 21, 21 give 4 ratings.

We assume there was a mis - count in the previous step for the 16 - 20 range. Re - counting, we see that only 1 rating (18) is in the 16 - 19 range (19 is also in this range but we might have double - counted in a wrong initial approach). So the height of the bar for 16 - 20 is 1.

Answer:

1