Question

a study was conducted to determine how people get jobs. the table below lists data from 400 randomly selected subjects. job sources frequency help - wanted ads (h) 64 executive search firms (e) 42 networking (n) 22 mass mailing (m) 291 choose the correct pie - chart. compare the pie chart found above to the pareto chart given on the left. can you determine which graph is more effective in showing the relative importance of job sources? a. the pareto chart is more effective b. neither one is effective c. the pie chart is more effective

Explanation:

Step1: Analyze pie - chart requirements

We need to find a pie - chart where the proportions of each job source match the frequencies in the table. The total number of subjects is \(64 + 42+22 + 291=419\). The proportion of help - wanted ads \(H\) is \(\frac{64}{419}\approx0.153\), executive search firms \(E\) is \(\frac{42}{419}\approx0.1\), networking \(N\) is \(\frac{22}{419}\approx0.053\), and mass mailing \(M\) is \(\frac{291}{419}\approx0.694\).

Step2: Examine pie - chart options

The pie - chart should have a large yellow (mass mailing) section, a medium - sized blue (help - wanted ads) section, a small red (executive search firms) section, and an even smaller light - blue (networking) section.

Step3: Compare with Pareto chart

A Pareto chart arranges data in descending order of frequency and shows cumulative frequencies. It is better for showing relative importance as it clearly shows the most significant contributors first. A pie - chart just shows the proportion of each category in a circle.

Answer:

The correct pie - chart is the one with a large yellow section (for mass mailing), a medium blue section (for help - wanted ads), a small red section (for executive search firms), and a very small light - blue section (for networking).
A. The Pareto chart is more effective