Chapter PI, Problem 6RE

(a)

To determine

To describe the distribution.

Explanation of Solution

In the question, Clarksburg bakery is trying to predict how many loaves to bake. They have sold between $\text{95 and 140}$ loaves per day. The histogram for the number of loaves they sold are given in the question. Thus, by looking at the histogram we can say that the distribution is uni-modal as there is one mode. And the distribution is skewed to the right as the values are decreasing to the right side of the histogram. The mode of the histogram can be approximately at $\text{95}$ as the bar of the histogram is the highest at this point.

(b)

To determine

To explain which should be larger, the mean number of sales or the median.

Answer to Problem 6RE

The mean number of sales is larger than the median.

Explanation of Solution

In the question, Clarksburg bakery is trying to predict how many loaves to bake. They have sold between $\text{95 and 140}$ loaves per day. The histogram for the number of loaves they sold are given in the question. As by looking at the histogram we can say that the distribution is uni-modal as there is one mode. And the distribution is skewed to the right as the values are decreasing to the right side of the histogram. So, the mean will be larger than the median of the number of sales of loaves as the histogram is skewed to the right, which means that the larger will be the mode than the mean and then the median starting from left to right in the downward direction.

(c)

To determine

To make a boxplot by using these statistics and the histogram.

Explanation of Solution

In the question, Clarksburg bakery is trying to predict how many loaves to bake. They have sold between $\text{95 and 140}$ loaves per day. The histogram for the number of loaves they sold are given in the question. Thus, the boxplot of these data can be made as using the statistics and the histogram as:

(d)

To determine

To explain do these statistics suggest that Clarksburg Bakery should expect to sell between $94\text{ and 112}$ loaves on about $68\%$ of the days.

Answer to Problem 6RE

No, these statistics do not suggest that Clarksburg Bakery should expect to sell between $94\text{ and 112}$ loaves on about $68\%$ of the days.

Explanation of Solution

In the question, Clarksburg bakery is trying to predict how many loaves to bake. They have sold between $\text{95 and 140}$ loaves per day. The histogram for the number of loaves they sold are given in the question. No, these statistics do not suggest that Clarksburg Bakery should expect to sell between $94\text{ and 112}$ loaves on about $68\%$ of the days because the graph is skewed and has higher mean a lot more of the days will have those sales than $68\%$ .