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Ch 3 Re-Test: Quantitative Data Displays cloned 10/7/2020

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24 questions
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Question 1
1.

Question 2
2.

During his 20 seasons in the NHL, Wayne Gretzky scored 50% more points than anyone who ever played professional hockey. He did this while playing in 280 fewer games than the previous record holder.
Here are the number of games Gretzky played during each season:
79, 80, 80, 80, 74, 80, 80, 79, 64, 78,
73, 78, 74, 45, 81, 48, 80, 82, 82, 70

Use your Ti-84 Calculator to find the 5# summary:
1. Stat, Calc, 1-VarStats
2. Frequency: keep blank
3. Calculate.

List the 5# summary, separate each number by a comma, keep the decimals if shown.
Use the format: 3, 4, 5, 6, 7

Question 3
3.

During his 20 seasons in the NHL, Wayne Gretzky scored 50% more points than anyone who ever played professional hockey. He did this while playing in 280 fewer games than the previous record holder.
Here are the number of games Gretzky played during each season:
79, 80, 80, 80, 74, 80, 80, 79, 64, 78,
73, 78, 74, 45, 81, 48, 80, 82, 82, 70

Use your Ti-84 Calculator to find the mean and standard deviation:
1. Stat, Calc, 1-VarStats
2. Frequency: keep blank
3. Calculate.

Enter the mean and standard deviation that your calculator gives:
Round to three places past the decimal if necessary.

Separate the values by a comma. Ex. 24, 2.145

Question 4
4.

Question 5
5.

Question 6
6.

During his 20 seasons in the NHL, Wayne Gretzky scored 50% more points than anyone who ever played professional hockey. He did this while playing in 280 fewer games than the previous record holder.
Here are the number of games Gretzky played during each season:
79, 80, 80, 80, 74, 80, 80, 79, 64, 78,
73, 78, 74, 45, 81, 48, 80, 82, 82, 70

Using the 5 # summary and the IQR, calculate the lower and upper fences.
Use the formulas: Q1-1.5(IQR) Q3+1.5(IQR)

List them below, separated by a comma.
Round to two places past the decimal point.
Use the format: 34.3, 75.6

Question 7
7.

During his 20 seasons in the NHL, Wayne Gretzky scored 50% more points than anyone who ever played professional hockey. He did this while playing in 280 fewer games than the previous record holder.
Here are the number of games Gretzky played during each season:
79, 80, 80, 80, 74, 80, 80, 79, 64, 78,
73, 78, 74, 45, 81, 48, 80, 82, 82, 70

Using the fences calculated in #7, are there any outliers?
If so, list them.

Question 8
8.

During his 20 seasons in the NHL, Wayne Gretzky scored 50% more points than anyone who ever played professional hockey. He did this while playing in 280 fewer games than the previous record holder.
Here are the number of games Gretzky played during each season:
79, 80, 80, 80, 74, 80, 80, 79, 64, 78,
73, 78, 74, 45, 81, 48, 80, 82, 82, 70

If the value of 64 games were added to the data, would it be an outlier?
Yes or no?
Explain how you know.

Question 9
9.

Question 10
10.

15 students in a statistics class were asked how many pets they have.
Their responses are listed below.


1. How many students in the class had 2 pets?

2. What percent of the 15 students in the class had 2 pets?

Enter both answers separated by a comma.

Question 11
11.

Patients at a clinic were asked their age. The data is shown below in the histogram:



Using the histogram above,
1. How many patients were survey about their age?

2. Using the total, check how many patients were over 60 years old, calculate the percent that were over 60 years old.

Enter the numbers below: # patients, percent over 60 yrs
Ex. 12, 15%

Question 12
12.

All students in a physical education class completed a basketball free-throw shooting event and the lowest number of shots made was 17.
The next day a student who had just transferred into the school completed the event, making 6 shots, that same day the student who had made 17 withdrew from the school so her data is replaced with the 6 shots, keeping the number of data values the same.

Indicate whether adding the new student’s score to the rest of the data made each of these statistics increase, decrease, or roughly stay about the same:

Select the 'rose' to drag each of the statistics to the effect the new student's score will have on it.

Question 13
13.

Question 14
14.

The boxplot below displays the number of cookie boxes sold by 24 Girl Scouts.

The five-number summary for the data is Min: 5, Q1: 8.5, Median: 12, Q3: 14, and Max: 20.

What percent of the 24 girl scouts sold at least 14 boxes of cookies?
(this means greater than 14 boxes)

Question 15
15.

The boxplot below displays the number of cookie boxes sold by 24 Girl Scouts.


The five-number summary for the data is Min: 5, Q1: 8.5, Median: 12, Q3: 14, and Max: 20.

1. What is the range of the data?
Record the range as a single number.

2. What is the IQR of the data?
Record the range as a single number.

Question 16
16.

Joe is interested in the prices of homes sold in his area.
He found a list of the selling prices of 50 homes for the past month.
Most of the homes sold for $100,000–$350,000, but there were some mobile homes that sold for less than $50,000.

Which of the following statements is true about the mean and median selling price for the 50 homes?

Hint: picture the shape of the data distribution.

Question 17
17.

Question 18
18.

Question 19
19.

The stemplot below displays data for the number of snacks 37 school children grabbed at the after-school care center.


1. Give the range for the stemplot.

Calculate the range and give your answer as a single number.

Question 20
20.

The stemplot below displays data for the number of snacks 37 school children grabbed at the after-school care center.


How many children selected 21 snacks?
Use this information, and the additional information above, to calculate the percent of children that selected 21 snacks.

Calculate the percent of children that selected 21 snacks and enter it below.
Round your answer to one place past the decimal point.

Question 21
21.

Observe the shape of the histogram below carefully.


Which of the boxplots pictured below corresponds to the histogram?

Question 22
22.

Observe the shape of the histogram below carefully.


Which of the boxplots pictured below corresponds to the histogram?

Question 23
23.

Observe the shape of the histogram below carefully.


Which of the boxplots pictured below corresponds to the histogram?

Question 24
24.

Observe the shape of the histogram below carefully.


Which of the boxplots pictured below corresponds to the histogram?

During his 20 seasons in the NHL, Wayne Gretzky scored 50% more points than anyone who ever played professional hockey. He did this while playing in 280 fewer games than the previous record holder.
Here are the number of games Gretzky played during each season:

79, 80, 80, 80, 74, 80, 80, 79, 64, 78,

73, 78, 74, 45, 81, 48, 80, 82, 82, 70


Use your Ti-84 Calculator to create a histogram:
1. Enter your data into List 1 (Stat, Edit)
2. Open a statplot (2nd, y=, statplot1 on)
3. Choose histogram, frequency=1.
4. Zoom, 9

Describe the data distribution using CUSS & BS.
Choose all answers that apply below (there are four).
Use the actual list of data when describing the spread.
Shape is unimodal and skewed left
Shape is unimodal and skewed right
The spread is from 40 to 90
The spread is from 45 to 82
The spread is from 45 to 90
The center is 59.8 to <67.2
The center is 67.2 to <74.6
Shape is bimodal and skewed right
Shape is unimodal and symmetric
Shape is bimodal and skewed left
There does not seem to be anything unusual
There is a possible outlier at 45 to < 52.4
The center is 74.6 to <82 games
During his 20 seasons in the NHL, Wayne Gretzky scored 50% more points than anyone who ever played professional hockey. He did this while playing in 280 fewer games than the previous record holder.
Here are the number of games Gretzky played during each season:
79, 80, 80, 80, 74, 80, 80, 79, 64, 78,
73, 78, 74, 45, 81, 48, 80, 82, 82, 70

Using the histogram from #1, think about the shape, should you use the mean & standard deviation or the median & IQR to describe the center and spread of this data?
Why or why not?
Select two correct answers.
Mean & Std Dev
Median & IQR
The data is skewed left
The data is skewed right
The data is symmetric
This is unable to be determined
During his 20 seasons in the NHL, Wayne Gretzky scored 50% more points than anyone who ever played professional hockey. He did this while playing in 280 fewer games than the previous record holder.
Here are the number of games Gretzky played during each season:
79, 80, 80, 80, 74, 80, 80, 79, 64, 78,
73, 78, 74, 45, 81, 48, 80, 82, 82, 70

Using the 5 # summary, what is the IQR?
Interpret the IQR. (what does the IQR show?)
Select the correct answer for each question (you need to select two correct answers)
34 games
6.5 games
The range of the upper 50% of the data.
The range of the lower 50% of the data.
1 game
The range of the middle 50% of the data.
3 games
37 games
During his 20 seasons in the NHL, Wayne Gretzky scored 50% more points than anyone who ever played professional hockey. He did this while playing in 280 fewer games than the previous record holder.
Here are the number of games Gretzky played during each season:
79, 80, 80, 80, 74, 80, 80, 79, 64, 78,
73, 78, 74, 45, 81, 48, 80, 82, 82, 70

Using the original set of data and the 5# summary calculated in #2, interpret the Q1 in this context.
Explain what it means.
Select the best answer.
50% of the seasons Wayne Gretzsky played more than 73.5 games
75% of the seasons Wayne Gretzsky played less than 73.5 games
Not able to be determined.
75% of the seasons Wayne Gretzsky played more than 73.5 games
50% of the seasons Wayne Gretzsky played less than 73.5 games
Median
Range
Maximum
Minimum
Mean
IQR
Standard Deviation
Roughly stay the same
Decrease
Increase
The boxplot below displays the arm spans for 44 students.



The five-number summary for the data is Min: 143, Q1: 162, Median:168, Q3: 180, and Max: 202.

Which of the following is a true statement?
Approximately 25% of the arm spans are less than 180 cm.
Approximately 50% of the arm spans are less than 162 cm.
Approximately 25% of the arm spans are less than 168 cm.
Approximately 25% of the arm spans are more than 180 cm.
Approximately 25% of the arm spans are greater than 162 cm.
Approximately 75% of the arm spans are less than 162 cm
Approximately 50% of the arm spans are greater than 162 cm.
The actual selling prices are needed to determine this.
The mean and median are equal.
Alex records the running time—the number of minutes a movie lasts from start to finish—of 50 popular movies. The distribution of times, in minutes, is displayed in the histogram below.

Which would be larger, the mean or the median?
Why?
Select the two correct answers below.
The data distribution is skewed left.
The data distribution is skewed right.
The data distribution is uniform.
They are roughly equal
The mean
The data distribution is symmetric.
The median
The stemplot below displays data for the number of snacks 37 school children grabbed at the after-school care center.


Observe the shape of the stemplot, do you predict the median or mean will be larger? Or will they be the same?
Select your answer and also the reason for your answer.
You should select two correct answers.
The data distribution is skewed right.
The mean is greater than the median.
The data distribution is skewed left.
The data distribution is uniform.
The median is greater than the mean.
The data distribution is symmetric.
The median and mean are roughly equal.
C
D
C
D
C
D
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D