Question

(a) construct a pareto chart to display the data. choose the correct bar graph below. a. favorite season b. favorite season c. favorite season d. favorite season display the data to the right in a pareto chart. describe the difference in how the pie chart and the favorite season winter 15% spring 27% fall 22% summer 36%

Explanation:

Step1: Recall bar - graph and Pareto - chart concepts

A bar graph shows the frequency or count of each category (seasons in this case). A Pareto chart is a bar graph with bars in descending order of frequency and a cumulative relative - frequency line.

Step2: Analyze the bar - graph options

We need to choose the correct bar graph for favorite seasons. By looking at the relative heights of the bars for seasons (Summer (S), Spring (Sp), Fall (F), Winter (W)), we can match them with the data.

Step3: Construct a Pareto chart

First, order the seasons by frequency in descending order. Then, calculate the cumulative relative frequencies for each season. Plot the bars in descending - order of frequency and add a cumulative relative - frequency line.

However, since we only have bar - graph options to choose from and no data values to construct an exact Pareto chart:
Looking at the pie - chart, we know that Summer is the most popular (35%), Spring is second (27%), Fall is third (22%), and Winter is the least popular (15%). The correct bar graph should have bars in this order of height.

Answer:

The bar graph with bars in the order: Summer (highest), Spring, Fall, Winter (lowest) (assuming one of the options has this correct order). Without seeing the exact heights of the bars in the options clearly, we can't choose an exact lettered option, but the correct bar graph should represent the frequencies as described above. For constructing a Pareto chart, we would order the seasons as Summer, Spring, Fall, Winter, calculate cumulative frequencies, and plot bars and a line accordingly.