﻿ Misleading Graph Worksheet | Problems & Solutions

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1.
Which graph could be used to indicate a greater increase in the number of books checked out? Why?

 a. bar graph, because the bar graph looks like 100% increase, while the picture graph indicates a smaller increase b. picture graph, because the bars in the bar graphs are appropriate, while the picute graph shows difference in the size of the books.. c. both the graphs show greater increase d. should include a more relevant graph to answer the question

2.
Which graph can Paul use to show his aunt that he spends more time on homework than play? Explain your answer.

 a. bar graph, because the bar corresponding to homwework is double the size of the bar representing play b. circle graph, because each sector in the circle graph is drawn appropriate c. both the graphs show 100% more time on homework than play d. can′t say

3.
Ken feels that the bar graph is more appropriate than the picture graph to show the increase in his salary from the year 2000 to 2001. Choose a valid reason as to why he is right.

 a. the salary in the year 2001 is double the salary he earned in the year 2000, which matches the size of the bars in the bar graph b. Ken is wrong, picture graph is more appropriate. c. the bars in the graph does not make the difference in the annual income look very large as in the picture graph d. can′t say e. the salary in the year 2000 is double the salary he earned in the year 2001, which matches the size of the bars in the bar graph

4.
The graphs show the number of motorbikes sold each year by a particular automobile dealer. Which one of these graphs is misleading and why?

 a. Graph 1 is misleading, because it appears to show a more rapid decrease in sales than graph 2. b. Graph 2 is misleading, because the vertical scale used there contains multiples of 40. c. Both the graphs are correct. d. can′t say

5.
The two graphs show the annual snowfall in a city in the years 2001 and 2002. Which graph gives the impression that the snowfall in the year 2002 is more than twice as much snowfall in the year 2002? Also explain why that graph is misleading.

 a. Graph 2 is misleading, because the vertical scale is truncated. b. Graph 1 is misleading, because the vertical scale is truncated. c. Graph 2 is misleading, because the two bars are not of the same size. d. Both the graphs are correct.

6.
The graph represents the scores of four students in an examination. Tell whether the graph is misleading or not.

 a. Yes b. No

#### Solution:

In a graph, the vertical axis generally starts from 0 and the scale should be uniform.

In the bar graph, the vertical scale starts at 75 rather than zero.

From the graph, it appears that Adam got double the score John got which is not true.

7.
The graph represents the number of toys sold each month in a toy shop. Why is the graph misleading?

 a. Due to broken scale b. Number of toys sold after May is not known c. Uneven spacing on horizontal axis d. None of the above

#### Solution:

In a graph, the scale should start from 0 and the scale should be uniform.

The scale starts from 0, but is broken as the value 50 is missing in the graph.
[All values from 100 have equal difference of 50.]

So, the graph is misleading due to broken scale on the vertical axis.

8.

 a. Broken scale b. Uneven values on vertical axis. c. Unequal spacing of lines d. None of the above

#### Solution:

In a graph, the scale should start from 0 and the scale should be even.

If the vertical scale doesn't start from 0, it should be indicated in the graph by a broken line.

Observe the vertical scale of the graph, the vertical scale started at 30 rather than 0.

Also, there is no indication that the graph is broken. So, the graph is misleading.

9.
Do the two graphs plot the same data?

 a. Yes b. No

#### Solution:

So, Graph 2 seems to have a steeper line than Graph 1.

The slope of the line in Graph 2 seems to be more than that of Graph 1.

Observing both the graphs, the points plotted on both the graphs are same.
[Graph 1 is the misleading graph of Graph 2.]

So, both the graphs represent the same data although they seem to be different.

10.
The graph shows the rainfall in October and November at a place. Is the graph misleading?

 a. Yes b. No

#### Solution:

From the bar graph, the rainfall in November seems to be two times the rainfall in October.

But the rainfall in November is 14 cm which is not two times the rainfall in October, which is 12.

So, the bar graph is a misleading bar graph.