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Ch 4 Day 5 Re-Quiz: Comparing Quantitative Data Displays

Last updated over 4 years ago
20 questions
4

Suppose a bass fishing contest measured each contestant's fish in inches but then to comply with international regulations converted the measurements to centimeters. (1 inch=2.54 cm)

1. Is this a shift or a scale?
2. How do you know?

Make sure to select 2 correct answers below.

6

Suppose a bass fishing contest measured each contestant's fish in inches but then to comply with international regulations converted the measurements to centimeters. (1 inch=2.54 cm)

Select all the statistics below that would change.

Make sure to select ALL the correct answers from the list below.

6

Suppose a bass fishing contest measured each contestant's fish in inches but then to comply with international regulations converted the measurements to centimeters. (1 inch=2.54 cm)

If the range was 7.25 inches prior to changing to centimeters, what will the new range be?

4

Suppose a bass fishing contest weighed each contestant's fish in ounces but then realized that scale had been off. Each fish was weighed 2.5 ounces too heavy.

1. Is this a shift or a scale?
2. How do you know?

Make sure to select 2 correct answers below.

6

Suppose a bass fishing contest weighed each contestant's fish in ounces but then realized that scale had been off. Each fish weighted 2.5 ounces too heavy.

Which statistics listed below would change?

Make sure to select ALL the correct answers from the list below.

4

Suppose a bass fishing contest weighed each contestant's fish in ounces but then realized that scale had been off. Each fish weighed 2.5 ounces too heavy.

If the original range for the fish weights was 12.35 ounces, what would the new weight range be?

Enter your answer below.

4

Here are some summary statistics for the Clarksburg Bakery in sales of their bread loaves during May:

Min: Q1: Med: Q3: Max: Mean:
# loaves: 95 97 100 105.5 144 110.5

Compare the mean to the median.
Which is larger?

What does this mean about the shape of the data distribution?

4

Here are some summary statistics for the Clarksburg Bakery in sales of their bread loaves during May:

Min: Q1: Med: Q3: Max: Mean:
# loaves: 95 97 100 105.5 144 110.5

What is the IQR of the data set for # loaves sold?

4

Here are some summary statistics for the Clarksburg Bakery in sales of their bread loaves each day during May:

Min: Q1: Med: Q3: Max: Mean:
# loaves: 95 97 100 105.5 144 110.5

Use the IQR you calculated in #8 and the fact that the price of each loaf was $4.25.

Determine the new IQR once the money collected was calculated for each day based on # loaves sold.
If needed round to two places past the decimal point since it is $.

4

A study examining the health risks of smoking measured the cholesterol levels of people who had smoked for at least 25 years and people of similar ages who had smoked for no more than 5 years and then stopped.
n=15 for both lists of data.

Smokers for 25+ yrs: 225, 258, 250, 225, 213, 232, 216, 216, 178, 287, 200, 211, 216, 200, 256
Ex-smokers: 188, 174, 213, 134, 217, 217, 242, 192, 238, 200, 210, 160, 175, 249, 250

Enter your data into your calculator.
1. Stat, Edit, L1: Smokers cholesterol levels

2. Stat, Edit, L2: Ex-smokers cholesterol levels

3. Display stacked boxplots for the two data sets:

Turn Statplot #1 ON (2nd, y=, Statplot#1), choose the modified boxplot (next to the histogram),
Xlist: L1 (2nd, 1), Freq=1

Turn Statplot #2 ON (Statplot #2, enter), choose the modified boxplot (next to the histogram),
change Xlist: L2 (2nd, 2), Freq=1

4. Zoom 9 to display the stacked boxplots. Remember that the smokers data is displayed on top,

Remember: Smokers are the top boxplot and Ex-smokers are the bottom boxplot.

Compare the two boxplots, noting the location of the quartiles. Rotate your calculator to the side if this helps you see the quartiles for comparison.

Using the quartiles, what percent of the Ex-smokers cholesterol levels were lower than 100% of the smokers cholesterol levels?

4

A study examining the health risks of smoking measured the cholesterol levels of people who had smoked for at least 25 years and people of similar ages who had smoked for no more than 5 years and then stopped.
n=15 for both lists of data.

Smokers for 25+ yrs: 225, 258, 250, 225, 213, 232, 216, 216, 178, 287, 200, 211, 216, 200, 256

Ex-smokers: 188, 174, 213, 134, 217, 217, 242, 192, 238, 200, 210, 160, 175, 249, 250

Compare the two boxplots you created for #10.

What is a true statement below?

4

A study examining the health risks of smoking measured the cholesterol levels of people who had smoked for at least 25 years and people of similar ages who had smoked for no more than 5 years and then stopped.
n=15 for both lists of data.

Smokers for 25+ yrs: 225, 258, 250, 225, 213, 232, 216, 216, 178, 287, 200, 211, 216, 200, 256

Ex-smokers: 188, 174, 213, 134, 217, 217, 242, 192, 238, 200, 210, 160, 175, 249, 250

Using the quartiles, what percent of the Smokers cholesterol levels were higher than 75% of the ex-smokers cholesterol levels?

3

The dotplots below compare data gathered on the of sugar grams per serving for adult and children's cereals.


Compare the two sets of data: center, spread, unusual points, shape.

Select 3 correct statements from the list below:

4

To help travelers know what to expect, researchers collected the prices of commodities in 16 cities throughout the world.
Here are boxplots comparing the prices of a ride on public transportation, a newspaper, and a cup of coffee in the 16 cities (pries are all in US$).


Compare the boxplots for the three commodities.

Using the quartiles of the boxplots, what percent of the Newspaper prices are greater than 25% of the Public Transportation prices?

6

The scores on a state standardized EOC Test are compared below between History and English classes.

Use the key: 3 | 2 | 7 means 27 for Males and 23 for Females.


Use the key: 3 | 2 | 7 means 27 for Males and 23 for Females.

Compare the shapes of the back to back stemplots.

Select the three best answers to describe the shapes of the data distributions.

4

Shown below are the summary statistics for the number of camp sites at public parks in Vermont.

Use the calculated statistics to answer the question below:

Count: 46 parks
Mean: 62.8 camp sites
Median: 43.5 camp sites
Std. Dev: 56.2 camp sites
Min: 0 camp sites
Max: 275 camp sites
Q1: 28 camp sites
Q3: 78 camp sites

1. Compare the mean to the median, which is larger?
2. Use this information to determine information about the shape of the histogram for the data.

Choose two correct answers below.

4

Using the data display shown by the histogram below:


Compare the two histograms above, they have the same center and spread.

Which boxplot will have a larger IQR, the left or the right?

Explain how you know.

Select 2 correct answers below.

4

Observe the histogram above, consider the median versus the mean.

Which will be larger?

How do you know?

Select both answers below.

4

Use the side by side boxplots above to compare the data on fuel efficiency for 4, 6, and 8 cylinder cars.

Which group of cars has the most variability and how do you know?

4

Use the side by side boxplots above to compare the data on fuel efficiency for 4, 6, and 8 cylinder cars.

Use the quartiles: What percent of the 6 cylinder cars have better fuel efficiency than 75% of the 8 cylinder cars?