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

Last updated over 4 years ago
15 questions
4

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

4

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) ?

2

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.

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

4

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?

4

The boxplot below displays the arm spans for 44 students.


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

4

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?

2

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?

4

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


Which of the following statements is false?

4

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.

4

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.

4

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.

2

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:

4

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:

4

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

Describe the shape of the distribution in the dotplot above.