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

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

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

Mean: 23.14; Median: 20; Mode: 32.

thats wrong

I apologize for the mistake. After calculating again, the correct measures of center for the dataset are:

Mean: 23

Median: 21

Mode: 32

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: 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

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

Q1: 121; Q2: 127; Q3: 134

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

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

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

MAD: 4; IQR: 6.5

MAD: 4; IQR: 8

Here are the prices for biweekly lawn mowing services for 12 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 close to symmetrical.
Mean; the shape of the distribution is close to symmetrical.

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

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

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

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

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 symmetrical, or close to it.
IQR, 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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