Summarize the dataset by finding its measures of center—mean, median, and mode.

Question

20, 30, 32, 16, 31, 32, 13, 20, 28, 32, 15, 18, 20, 21, 32

(1 point)
Responses

mean: 21; median: 24; mode: 32
mean: 21; median: 24; mode: 32

mean: 24; median: 21; mode: 32
mean: 24; median: 21; mode: 32

mean: 24; median: 24.5; mode: 20
mean: 24; median: 24.5; mode: 20

mean: 22.5; median: 21; mode: 20
mean: 22.5; median: 21; mode: 20
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Answer 1

mean: 23.07, median: 20, mode: 32

Answer 2

Summarize the dataset by finding its measures of center—mean, median, and mode.

20, 30, 32, 16, 31, 32, 13, 20, 28, 32, 15, 18, 20, 21, 32

(1 point)
Responses

mean: 21; median: 24; mode: 32
mean: 21; median: 24; mode: 32

mean: 24; median: 21; mode: 32
mean: 24; median: 21; mode: 32

mean: 24; median: 24.5; mode: 20
mean: 24; median: 24.5; mode: 20

mean: 22.5; median: 21; mode: 20
mean: 22.5; median: 21; mode: 20
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Answer 3

mean: 24; median: 21; mode: 32

Answer 4

What are the quartiles for the given dataset?

115, 117, 120, 122, 125, 125, 127, 128, 131, 132, 136, 136, 140

(1 point)
Responses

Q1: 122; Q2: 127.5; Q3: 132
upper Q subscript 1 baseline : 122; upper Q subscript 2 baseline : 127.5; upper Q subscript 3 : 132

Q1: 121; Q2: 127.5; Q3: 134
upper Q subscript 1 baseline : 121; upper Q subscript 2 baseline : 127.5; upper Q subscript 3 : 134

Q1: 121; Q2: 127; Q3: 134
upper Q subscript 1 baseline : 121; upper Q subscript 2 baseline : 127; upper Q subscript 3 : 134

Q1: 115; Q2: 127; Q3: 140
upper Q subscript 1 baseline : 115; upper Q subscript 2 baseline : 127; upper Q subscript 3 : 140
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Answer 5

Q1: 121; Q2: 127; Q3: 134

Answer 6

What is the MAD and IQR for the given dataset?

1, 4, 6, 7, 9, 10, 10, 11, 12, 12, 14, 15, 17, 18, 19

(1 point)
Responses

MAD: 11; IQR: 6.5
MAD: 11; IQR: 6.5

MAD: 4; IQR: 8
MAD: 4; IQR: 8

MAD: 11; IQR: 8
MAD: 11; IQR: 8

MAD: 4; IQR: 6.5
MAD: 4; IQR: 6.5
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Answer 7

MAD: 4; IQR: 6.5

Answer 8

Here are the prices for biweekly lawn mowing services for 13 local companies:

15, 15, 20, 30, 30, 35, 40, 40, 40, 40, 50, 50, 50

Which measure of center—mean or median—best represents the shape of the distribution?

(1 point)
Responses

Median; the shape of the distribution is skewed to the left.
Median; the shape of the distribution is skewed to the left.

Mean; the shape of the distribution is skewed to the left.
Mean; the shape of the distribution is skewed to the left.

Mean; the shape of the distribution is close to symmetrical.
Mean; the shape of the distribution is close to symmetrical.

Median; the shape of the distribution is skewed to the right.
Median; the shape of the distribution is skewed to the right.
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Answer 9

Median; the shape of the distribution is skewed to the right.

Answer 10

Use the image to answer the question.

A number line ranges from 2 to 9.5 in increments of 0.5. A boxplot is placed above the number line. The box is divided into two sections. The first box extends from 4 to 5.5. The second box extends from 5.5 to 7. A line extends from each end of the box, terminating at 2 on the left and terminating at 9.5 on the right.

For the given box plot, which measure of variability—range or IQR—best represents the shape of the distribution?

(1 point)
Responses

IQR, the shape of the distribution is symmetrical, or close to it.
IQR, the shape of the distribution is symmetrical, or close to it.

Range, the shape of the distribution is skewed to the right.
Range, the shape of the distribution is skewed to the right.

Range; the shape of the distribution is symmetrical, or close to it.
Range; the shape of the distribution is symmetrical, or close to it.

IQR, the shape of the distribution is skewed to the right.
IQR, the shape of the distribution is skewed to the right.
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Answer 11

IQR, the shape of the distribution is symmetrical, or close to it.