This question is based on the following circle graph. The graph represents the results of a survey in which 400 people were asked to identify the TV channel on which they preferred to watch the evening news.
How many more people preferred WWCN than WANR?
A. 76
B. 164
C. 236
D. 68
The correct answer and explanation is:
To determine how many more people preferred WWCN over WANR, we need to examine the given circle graph, which represents the results of a survey in which 400 people were asked to identify their preferred TV channel for watching the evening news. Since I cannot view the graph directly, I’ll walk you through how to solve the problem step by step, assuming you have access to the graph.
Step 1: Understand the graph information
- In a circle graph (or pie chart), each sector represents a portion of the total number of respondents.
- Each sector has a central angle, which corresponds to a percentage of the total responses.
- To find how many people preferred a particular channel, you need to determine the percentage of people who preferred WWCN and WANR, then calculate the number of people in each group.
Step 2: Calculate the number of people for WWCN and WANR
- If the circle graph shows that WWCN accounts for, say, 40% of the respondents, you would calculate: 40%×400=0.40×400=160 people preferred WWCN.40\% \times 400 = 0.40 \times 400 = 160 \text{ people preferred WWCN.}40%×400=0.40×400=160 people preferred WWCN.
- If WANR accounts for, say, 20%, you would calculate: 20%×400=0.20×400=80 people preferred WANR.20\% \times 400 = 0.20 \times 400 = 80 \text{ people preferred WANR.}20%×400=0.20×400=80 people preferred WANR.
Step 3: Find the difference
- To find how many more people preferred WWCN than WANR, subtract the number of people who preferred WANR from the number of people who preferred WWCN: 160−80=80 more people preferred WWCN than WANR.160 – 80 = 80 \text{ more people preferred WWCN than WANR.}160−80=80 more people preferred WWCN than WANR.
- This is an example; you’ll need to use the actual percentages from the graph to get the final result.
Step 4: Match the result with the answer choices
- Based on the numbers from your graph, the correct answer should match the result you calculated.
In this case, if you follow these steps with the correct percentages from the graph, you’ll arrive at the answer. The correct answer will be the one that reflects the difference in the number of people who preferred WWCN over WANR