Question 1

Which of the following is a potential way a graph can mislead a reader, as discussed in the study materials?

Accepted Answer

Manipulating the vertical scales to exaggerate changes

Question 2

Given the following data set: 19, 41, 18, 25, 28, 32, 14, 13, 29. What is the correct stem and leaf plot for this data?

Accepted Answer

1 | 3 4 8 9
2 | 5 8 9
3 | 2
4 | 1

Question 3

A pie chart is used to display the number of hours per week students spend studying. Which of the following is a common way a pie chart can mislead viewers?

Accepted Answer

By distorting the size of slices to exaggerate certain categories

Question 4

In a stem and leaf plot, what does the 'leaf' represent?

Accepted Answer

The last digit of the data value

Question 5

Given the following frequency distribution for hours spent studying per week: 0 hours (0.13), 6-10 hours (0.25), 11-15 hours (0.23), 16-20 hours (0.18), 21-25 hours (0.10), 26-30 hours (0.06), 31-35 hours (0.05). What is the probability that a randomly selected student studies more than 20 hours per week?

Accepted Answer

$$0.10 + 0.06 + 0.05 = 0.21$$

Question 6

When constructing a stem and leaf plot for the data: 41, 50, 92, 53, 58, 70, 84, 53, 68, 87, 56, 66, 81, 59, 84, 69, 80, 75, 85, 90, 78, 84, 94, 52, 74, 73, 89, 83, 89, what is the stem for the value 94?

Accepted Answer

9

Question 7

Which of the following best describes the effect of manipulating the vertical scale in a time series graph?

Accepted Answer

It can make small changes appear much larger than they are.

Question 8

If a data value is 8.3 and you are constructing a stem and leaf plot using the rule: 'If the data value is decimal, round to the whole number (greater than 5, round up; less than 5, round down)', what stem and leaf would you use?

Accepted Answer

Stem: 8, Leaf: 0

Question 9

Given the historical life expectancy data for the United States: 1950 (68.2), 1960 (69.7), 1970 (70.8), 1980 (73.7), 1990 (75.4), 2000 (77.0), what is the average increase in life expectancy per decade from 1950 to 2000?

Accepted Answer

$$\frac{77.0 - 68.2}{5} = 1.76$$ years per decade

Question 10

Which of the following is NOT a recommended practice when constructing a time series graph?

Accepted Answer

Manipulating the vertical scale to exaggerate trends

Question 11

A student claims that the pie chart showing hours spent studying is misleading. Which feature of the chart most likely supports this claim?

Accepted Answer

The slices are not proportional to the actual frequencies.

Question 12

If the relative frequency for the 6-10 hours category is 0.25, what percentage of students does this represent?

Accepted Answer

$$0.25 	imes 100 = 25\%$$

Question 13

Which of the following is a critical detail to consider when interpreting a time series graph?

Accepted Answer

Whether the vertical axis scale is manipulated

Question 14

Suppose you are given a stem and leaf plot with the stem '7' and leaves '0 3 4 5 8'. What are the corresponding data values?

Accepted Answer

70, 73, 74, 75, 78

Question 15

If a graph distorts the facts or distracts the reader, which of the following is most likely to occur?

Accepted Answer

The reader may misinterpret the data.

Question 16

A time series graph shows the number of departures (in millions) over several years: 7.5, 8.1, 8.2, 8.3, 8.6, 9.0. What is the total increase in departures from the first to the last year?

Accepted Answer

$$9.0 - 7.5 = 1.5$$ million

Question 17

Which of the following is a reason to use a stem and leaf plot instead of a histogram?

Accepted Answer

It preserves the original data values.

Question 18

If the sum of all relative frequencies in a table is 1, what does this indicate?

Accepted Answer

All possible outcomes are accounted for.

Question 19

Which of the following is an example of inaccurate depiction of percentage in a graph?

Accepted Answer

A pie chart where a slice labeled '25%' visually appears larger than a '30%' slice.

Question 20

A student wants to construct a stem and leaf plot for the data: 87, 56, 66, 81, 59, 84, 69, 80, 75, 85. What is the correct stem for the value 69?

Accepted Answer

6

Displaying and Interpreting Quantitative Data in Statistics

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