Question

Use the image to answer the question.

An illustration shows a bar graph. The x-axis ranges from 50 to 54 in one unit increments. The y-axis ranges from 0 to 4 in one unit increments. The bar values are 4 units for 50; 0 units for 51; 2 units for 52; 3 units for 53; and 1 unit for 54.

Identify the gap in the bar graph. Which number represents the gap in the data?

(1 point)
Responses

54
54

52
52

49
49

51
51
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Answer 1

[AI-generated answer — Bot GPT 3.5]

The gap in the bar graph is represented by the number 51.

Answer 2

Which dot plot includes an outlier?(1 point)

Responses

A . An illustration shows a number line with arrows on both ends ranging from 1 to 13 in one unit increments. Dots are plotted above the number line to indicate frequency. There is 1 dot over 1; 4 dots over 2; 2 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; 3 dots over 7; and 1 dot over 8. There are no dots over 9, 10, 11, 12, or 13.
Image with alt text: An illustration shows a number line with arrows on both ends ranging from 1 to 13 in one unit increments. Dots are plotted above the number line to indicate frequency. There is 1 dot over 1; 4 dots over 2; 2 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; 3 dots over 7; and 1 dot over 8. There are no dots over 9, 10, 11, 12, or 13.

B. An illustration shows a number line with arrows on both ends ranging from 1 to 13 in one unit increments. Dots are plotted above the number line to indicate frequency. There are 2 dots over 1; 4 dots over 2; 0 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; and 3 dots over 7. There are no dots over 3, 8, 9, 10, 11, 12, or 13.
Image with alt text: An illustration shows a number line with arrows on both ends ranging from 1 to 13 in one unit increments. Dots are plotted above the number line to indicate frequency. There are 2 dots over 1; 4 dots over 2; 0 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; and 3 dots over 7. There are no dots over 3, 8, 9, 10, 11, 12, or 13.

C. An illustration shows a number line with arrows on both ends ranging from 1 to 13 in one unit increments. Dots are plotted above the number line to indicate frequency. There are 3 dots over 4; 2 dots over 5; 4 dots over 6; 1 dot over 7; 4 dots over 8; 3 dots over 9; 4 dots over 10; and 2 dots over 11. There are no dots over 1, 2, 3, 12, or 13.
Image with alt text: An illustration shows a number line with arrows on both ends ranging from 1 to 13 in one unit increments. Dots are plotted above the number line to indicate frequency. There are 3 dots over 4; 2 dots over 5; 4 dots over 6; 1 dot over 7; 4 dots over 8; 3 dots over 9; 4 dots over 10; and 2 dots over 11. There are no dots over 1, 2, 3, 12, or 13.

D. An illustration shows a number line with arrows on both ends ranging from 1 to 13 in one unit increments. Dots are plotted above the number line to indicate frequency. There are 2 dots over 1; 4 dots over 2; 2 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; 3 dots over 7; and 1 dot over 13. There are no dots over 8, 9, 10, 11, or 12.
Image with alt text: An illustration shows a number line with arrows on both ends ranging from 1 to 13 in one unit increments. Dots are plotted above the number line to indicate frequency. There are 2 dots over 1; 4 dots over 2; 2 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; 3 dots over 7; and 1 dot over 13. There are no dots over 8, 9, 10, 11, or 12.
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Answer 3

[AI-generated answer — Bot GPT 3.5]

The dot plot that includes an outlier is:

D. An illustration shows a number line with arrows on both ends ranging from 1 to 13 in one unit increments. Dots are plotted above the number line to indicate frequency. There are 2 dots over 1; 4 dots over 2; 2 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; 3 dots over 7; and 1 dot over 13. There are no dots over 8, 9, 10, 11, or 12.

Answer 4

Describe the dataset. Which histogram is symmetrical?(1 point)

Responses

A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 1 at range 12 to 14; 2 at range 14 to 16; 3 at range 16 to 18; 3 at range 18 to 20; 5 at range 20 to 22.
Image with alt text: A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 1 at range 12 to 14; 2 at range 14 to 16; 3 at range 16 to 18; 3 at range 18 to 20; 5 at range 20 to 22.

A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 4 at range 12 to 14; 5 at range 14 to 16; 5 at range 16 to 18; 1 at range 18 to 20; 2 at range 20 to 22.
Image with alt text: A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 4 at range 12 to 14; 5 at range 14 to 16; 5 at range 16 to 18; 1 at range 18 to 20; 2 at range 20 to 22.

A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 1 at range 12 to 14; 2 at range 14 to 16; 3 at range 16 to 18; 2 at range 18 to 20; 1 at range 20 to 22.
Image with alt text: A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 1 at range 12 to 14; 2 at range 14 to 16; 3 at range 16 to 18; 2 at range 18 to 20; 1 at range 20 to 22.

A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 3 at range 12 to 14; 5 at range 14 to 16; 2 at range 16 to 18; 2 at range 18 to 20; 2 at range 20 to 22.
Image with alt text: A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 3 at range 12 to 14; 5 at range 14 to 16; 2 at range 16 to 18; 2 at range 18 to 20; 2 at range 20 to 22.
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Answer 5

[AI-generated answer — Bot GPT 3.5]

The dataset described is the following:

A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 1 at range 12 to 14; 2 at range 14 to 16; 3 at range 16 to 18; 3 at range 18 to 20; 5 at range 20 to 22.

The histogram that is symmetrical is the first one described as it has equal frequencies on both sides of the center.

Answer 6

Describe the dataset. Which histogram is symmetrical?(1 point)

Responses

A . histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 1 at range 12 to 14; 2 at range 14 to 16; 3 at range 16 to 18; 3 at range 18 to 20; 5 at range 20 to 22.
Image with alt text: A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 1 at range 12 to 14; 2 at range 14 to 16; 3 at range 16 to 18; 3 at range 18 to 20; 5 at range 20 to 22.

B> histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 4 at range 12 to 14; 5 at range 14 to 16; 5 at range 16 to 18; 1 at range 18 to 20; 2 at range 20 to 22.
Image with alt text: A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 4 at range 12 to 14; 5 at range 14 to 16; 5 at range 16 to 18; 1 at range 18 to 20; 2 at range 20 to 22.

C. histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 1 at range 12 to 14; 2 at range 14 to 16; 3 at range 16 to 18; 2 at range 18 to 20; 1 at range 20 to 22.
Image with alt text: A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 1 at range 12 to 14; 2 at range 14 to 16; 3 at range 16 to 18; 2 at range 18 to 20; 1 at range 20 to 22.

D. histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 3 at range 12 to 14; 5 at range 14 to 16; 2 at range 16 to 18; 2 at range 18 to 20; 2 at range 20 to 22.
Image with alt text: A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 3 at range 12 to 14; 5 at range 14 to 16; 2 at range 16 to 18; 2 at range 18 to 20; 2 at range 20 to 22.
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Answer 7

[AI-generated answer — Bot GPT 3.5]

The dataset described is the following:

A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 1 at range 12 to 14; 2 at range 14 to 16; 3 at range 16 to 18; 3 at range 18 to 20; 5 at range 20 to 22.

The histogram that is symmetrical is the one described in option A as it shows a symmetrical distribution of data around a central point.

Answer 8

Kris writes the following description of a dataset:

The mean of the set is 2.
The spread of the set is 3.
The overall shape of the set is skewed.

Which of these is Kris’s dataset?

(1 point)
Responses

A. An illustration shows a number line ranging from 1 to 5 in unit increments. Different numbers of open circles are placed vertically above each number in the number line. The number of circles above each number in the number line are as follows: 0 circles above 1, 3 circles above 2, 3 circles above 3, 1 circle above 4, and 1 circle above 5.
Image with alt text: An illustration shows a number line ranging from 1 to 5 in unit increments. Different numbers of open circles are placed vertically above each number in the number line. The number of circles above each number in the number line are as follows: 0 circles above 1, 3 circles above 2, 3 circles above 3, 1 circle above 4, and 1 circle above 5.

B. An illustration shows a number line ranging from 1 to 5 in unit increments. Different numbers of open circles are placed vertically above each number in the number line. The number of circles above each number in the number line are as follows: 4 circles above 1, 2 circles above 2, 1 circle above 3, 0 circles above 4, and 1 circle above 5.
Image with alt text: An illustration shows a number line ranging from 1 to 5 in unit increments. Different numbers of open circles are placed vertically above each number in the number line. The number of circles above each number in the number line are as follows: 4 circles above 1, 2 circles above 2, 1 circle above 3, 0 circles above 4, and 1 circle above 5.

C. An illustration shows a number line ranging from 1 to 5 in unit increments. Different numbers of open circles are placed vertially above each number in the number line. The number of circles above each number in the number line are as follows: 3 circles above 1, 3 circles above 2, 1 circle above 3, 1 circle above 4, and 0 circles above 5.
Image with alt text: An illustration shows a number line ranging from 1 to 5 in unit increments. Different numbers of open circles are placed vertially above each number in the number line. The number of circles above each number in the number line are as follows: 3 circles above 1, 3 circles above 2, 1 circle above 3, 1 circle above 4, and 0 circles above 5.

D. An illustration shows a number line ranging from 1 to 5 in unit increments. Different numbers of open circles are placed vertically above each number in the number line. The number of circles above each number in the number line are as follows: 1 circle above 1, 3 circles above 2, 4 circles above 3, 3 circles above 4, and 1 circle above 5.
Image with alt text: An illustration shows a number line ranging from 1 to 5 in unit increments. Different numbers of open circles are placed vertically above each number in the number line. The number of circles above each number in the number line are as follows: 1 circle above 1, 3 circles above 2, 4 circles above 3, 3 circles above 4, and 1 circle above 5.
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Answer 9

[AI-generated answer — Bot GPT 3.5]

Kris's dataset is represented by Option B:

An illustration shows a number line ranging from 1 to 5 in unit increments. Different numbers of open circles are placed vertically above each number in the number line. The number of circles above each number in the number line are as follows: 4 circles above 1, 2 circles above 2, 1 circle above 3, 0 circles above 4, and 1 circle above 5.

This dataset has a mean of 2, spread of 3, and the overall shape is skewed.

Answer 10

Use the image to answer the question.

An illustration shows a bar graph showing the frequency of number of cows per farm. The horizontal axis shows the number of cows per farm, ranging from 25 to 29 in increments of 1. The vertical axis shows the frequency, ranging from 0 to 5 in increments of 1. The frequency is as follows: 5 for 25 cows per farm; 3 for 26 cows per farm; 3 for 27 cows per farm; 2 for 28 cows per farm; 1 for 29 cows per farm.
Describe the shape of the dataset shown in the bar graph. Which word describes the shape of the data?(1 point)
Responses

symmetrical
symmetrical

spread
spread

mode
mode

skewed
skewed
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Answer 11

[AI-generated answer — Bot GPT 3.5]

The shape of the dataset shown in the bar graph is skewed.