Question

1. how many intervals were 0 - 19 cappuccinos made? a. 3 b. 6 c. 8 d. 11

bonus question: what was the least number of cappuccinos made per hour?

1. if we change the intervals of the histogram above to 0 - 11 and 12 - 23, how would the graph be impacted? a. the change would reduce the number of bins from 4 to 2. b. the new interval 12 - 23 would have 13 cappuccinos. c. the number of cappuccinos would stay the same in each bin. d. the new interval 0 - 11 would have 13 cappuccinos.

Explanation:

Step1: Recall mode concept

The mode is the value that appears most frequently in a data - set. In a histogram, it corresponds to the bin with the highest frequency.

Step2: Analyze question 1

To find the mode from the histogram, we look for the bin with the highest bar. From the histogram, the bin with the highest frequency has a value of 8.

Step3: Analyze question 6

When we change the intervals from the original ones to 0 - 11 and 12 - 23, the number of bins reduces from 4 to 2. The data that was spread across 4 bins will now be grouped into 2 bins. This will change the distribution appearance. The new intervals will combine some of the original data points in different ways, but the total number of cappuccinos (the frequency sum) will remain the same.

Answer:

1. b. 8
2. a. The change would reduce the number of bins from 4 to 2.