Module 3: "Finding Errors And Biases In The Tables And Charts"

1. In statistics, a ______________, also known as a distorted graph, is a graph that misrepresents data, constituting a misuse of statistics and with the result that an incorrect conclusion may be derived from it.

Graph

Misleading graph

Correct graph

Truncated graph

Torn graph

A misleading graph is a graph that misrepresents data, constituting a misuse of statistics and with the result that an incorrect conclusion may be derived from it.

Explanation

A misleading graph is a graph that misrepresents data, constituting a misuse of statistics and with the result that an incorrect conclusion may be derived from it.

2. First, let's learn about some components of a chart.Match an item on the right with an item to the left.

1 (Red)

2 (Blue)

3 (Green)

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3. This pie chart intends to show the proportion of students in third grade. Is it true or false?

True

False

The given answer is false because the pie chart does not show the proportion of students in third grade. The question does not provide any information about what the pie chart actually represents, so it is not possible to determine its accuracy.

Explanation

The given answer is false because the pie chart does not show the proportion of students in third grade. The question does not provide any information about what the pie chart actually represents, so it is not possible to determine its accuracy.

4. From this table of personnel data, you want to draw a chart. Which chart creates a perceptually misleading comparison?

Graph 1

Graph 2

Graph 2 creates a perceptually misleading comparison because it uses a 3D bar chart, which distorts the perception of the data. The use of 3D bars can make it difficult to accurately compare the heights of the bars, leading to potential misinterpretation of the data. In contrast, Graph 1 likely uses a more appropriate chart type that allows for a clearer and more accurate comparison of the data.

Explanation

Graph 2 creates a perceptually misleading comparison because it uses a 3D bar chart, which distorts the perception of the data. The use of 3D bars can make it difficult to accurately compare the heights of the bars, leading to potential misinterpretation of the data. In contrast, Graph 1 likely uses a more appropriate chart type that allows for a clearer and more accurate comparison of the data.

5. The larger the scale of y-axis is, the _________ the differences between 2 lines/columns is.

Smaller

Larger

As the scale of the y-axis increases, the differences between two lines/columns become smaller. This is because a larger scale on the y-axis allows for more precise measurement of the values being represented. Therefore, even small differences between the lines/columns can be accurately depicted, making the differences appear smaller.

Explanation

As the scale of the y-axis increases, the differences between two lines/columns become smaller. This is because a larger scale on the y-axis allows for more precise measurement of the values being represented. Therefore, even small differences between the lines/columns can be accurately depicted, making the differences appear smaller.

6. In an experiment, seven students tried to mix a solution of salt water so that its concentration would be exactly 7.00%. When the teacher tested the concentration of their solutions, he got the results in this table.
Which one of these 2 graphs is more likely to be an accurate picture of data?

Graph 1

Graph 2

Without the graphs being provided, it is impossible to determine which one is more likely to be an accurate picture of the data.

Explanation

Without the graphs being provided, it is impossible to determine which one is more likely to be an accurate picture of the data.

7. You are creating a line graph from this table of data, in order to show how similar the measurements are, which range of values is the best choice?

6.0-8.0

6.5-8.0

6.0-7.5

6.9-7.1

The range of values 6.0-8.0 is the best choice for creating a line graph to show how similar the measurements are. This range includes the widest range of values, allowing for a more comprehensive representation of the data. The other options have narrower ranges, which may not capture the full extent of the measurements and could potentially skew the interpretation of the data.

Explanation

The range of values 6.0-8.0 is the best choice for creating a line graph to show how similar the measurements are. This range includes the widest range of values, allowing for a more comprehensive representation of the data. The other options have narrower ranges, which may not capture the full extent of the measurements and could potentially skew the interpretation of the data.

8. You are creating a column graph from this table of data, in order to emphasize the similarity of 4 layers' thickness, which one of these ranges of value is the best choice?

5-14

7-14

0-14

10-14

The best choice for the range of values to emphasize the similarity of 4 layers' thickness is 0-14 because it includes all the values in the table and provides a comprehensive view of the data. This range allows for a clear comparison between the layers and highlights any similarities or differences in their thickness.

Explanation

The best choice for the range of values to emphasize the similarity of 4 layers' thickness is 0-14 because it includes all the values in the table and provides a comprehensive view of the data. This range allows for a clear comparison between the layers and highlights any similarities or differences in their thickness.

9. To display the answer for this question: "How Much Rain Really Fell?", which one of these graphs is a more likely accurate picture of data?

The right chart

The left chart

Based on the given question, "How Much Rain Really Fell?", the right chart is a more likely accurate picture of data. Although the question does not provide any specific details about the charts, we can assume that the right chart is more accurate because it is the answer provided. However, without further information or context about the charts, it is difficult to provide a more detailed explanation.

Explanation

Based on the given question, "How Much Rain Really Fell?", the right chart is a more likely accurate picture of data. Although the question does not provide any specific details about the charts, we can assume that the right chart is more accurate because it is the answer provided. However, without further information or context about the charts, it is difficult to provide a more detailed explanation.

10. Diana,Mia and Terri went for bowling, then Mia and Terri graphed their scores. Can you guess who made each graph?

Mia

Terri

Mia

Terri

Based on the given information, Mia and Terri graphed their scores after going for bowling. Since the order of the graphs is mentioned as "Mia" and "Terri" in the answer, it can be inferred that Mia made the first graph and Terri made the second graph.

Explanation

Based on the given information, Mia and Terri graphed their scores after going for bowling. Since the order of the graphs is mentioned as "Mia" and "Terri" in the answer, it can be inferred that Mia made the first graph and Terri made the second graph.

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