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Day 7 Unit 2 Quiz #2 5# Summary and Boxplots

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Last updated over 4 years ago
15 questions
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Question 1
1.

Which of the following is used to identify outliers in a set of data?

Question 2
2.

The following 5# summary was caclulated from a set of data values:

Min: 3 Q1: 12 Median: 15 Q3: 16 Max: 20

What is the IQR (interquartile range) ?

Question 3
3.

The five-number summary for the lengths of songs, in minutes, performed by a popular music group is given below.

Minimum: 1.8         Q1: 3.3           Median: 3.8             Q3: 4.5               Maximum: 9.2

The shortest song performed by the group is 1.8 minutes while the longest three songs are 5.7, 7.5, and 9.2 minutes.

Are any of these song lengths outliers?

Use Q1-1.5(IQR) and Q3+1.5(IQR) to determine the upper and lower fences.
Then decide if there are any outliers.

Question 4
4.

The boxplot below displays the arm spans for 44 students.


Using the boxplot, identify the 5# summary for the arm span data distribution:
The answers below are listed as Min, Q1, Median, Q3 and Max

Question 5
5.

The boxplot below displays the arm spans for 44 students.


Using the boxplot, which of the following statements IS NOT TRUE about the data display?

Question 6
6.

The boxplot below displays the arm spans for 44 students.


Using the boxplot, 25% of the data is less than what arm span?

Question 7
7.

The boxplot below displays the arm spans for 44 students.


Using the boxplot, what % of the data for arm spans is less than 180 cm?

Question 8
8.

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

0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6

Use Stat, Edit to enter the data into L1 of your calculator.

Use Stat, Calc, 1-VarStats to calculate the 5# summary.

Check for outliers:
1. calculate the IQR and the Upper and Lower fences. (see question #3 for the formulas for the fences)
2. Compare the fences to the min and max values, are there outliers?

Which of the following boxplots correctly displays the data?

Question 9
9.

The boxplot displays the grades (out of 30) that 26 students received on a quiz.


Which of the following statements is false?

Question 10
10.

The boxplot displays the grades (out of 30) that 26 students received on a quiz.


Using the boxplot above, calculate the Interquartile Range (IQR) for the data distribution.
Enter it below as one number.

Question 11
11.

The stemplot below displays the arm spans, in centimeters, for 20 students.
Key should be: 11|6=116 cm
Key should be: 11|6=116 cm
Describe the shape of the data distribution, make sure you give two descriptors.
Describe the shape regarding symmetry and modes.

Hint: you may need to tilt your head so you are viewing the data from smallest to largest.

Question 12
12.

The stemplot below displays the arm spans, in centimeters, for 20 students.
Key should be: 11|6=116 cm
Pay close attention to the key above to make sure you understand the data values.
Key should be: 11|6=116 cm
Using your Ti-84 calculate the 5# summary:
1. Stat, Edit, clear list 1: hover cursor over L1, 'clear' 'enter'
Enter data into L1.

2. Calculate the 5# summary: Stat, Calc, 1-VarStats

Using the 5# summary, calculate the IQR (interquartile range) and enter it in the answer space below.

Question 13
13.

The stemplot below displays the arm spans, in centimeters, for 20 students.
Key should be: 11|6=116 cm
Key should be: 11|6=116 cm

Using the information from #12 and the formulas from #3, identify any outliers if they exist:

Question 14
14.

The calculated fences for a data set are below:

Lower Fence: 23
Upper Fence: 105

Describe how you know if there are any outliers.

Select the 2 answers that apply:

Question 15
15.

The dot plot below shows the rating of a collection of Internet Cats.

Describe the shape of the distribution in the dotplot above.