Question

Determine the mean absolute deviation of the following dataset. Round your answer to the nearest tenth.

{134,138,150,155,158,165}

(1 point)
Responses

A. 11.2
B. 56
C. 150
D. 9.3

Answer 1

[AI-generated answer — Bot GPT 3.5]

A. 11.2

Answer 2

Lucia has been recording her grades on her Spanish quizzes. The following is a list of her grades:

74, 81, 86, 92, 74, 85, 90, 89, 78, 80

Determine the mean absolute deviation of Lucia’s Spanish quiz grades.

(1 point)
Responses

A. 82.9
B. 5.5
C. 55
D. 8.29

Answer 3

[AI-generated answer — Bot GPT 3.5]

D. 8.29

Answer 4

The following dataset is a list of the number of siblings for 10 children at a playground. Describe the spread of the dataset using the mean absolute deviation.

Number of siblings = {0,0,1,1,1,1,1,2,3,5}

(1 point)
Responses

A. The mean absolute deviation is 1.1. The number of siblings each child has is within 1.1 siblings from the mean.
B. The mean absolute deviation is 1.5. On average, the number of siblings each child has is about 1.5 siblings from the mean.
C. The mean absolute deviation is 1.5. On average, the children at the playground have 1.5 siblings.
D. The mean absolute deviation is 1.1. On average, the number of siblings each child has is about 1.1 siblings from the mean.

Answer 5

[AI-generated answer — Bot GPT 3.5]

A. The mean absolute deviation is 1.1. The number of siblings each child has is within 1.1 siblings from the mean.

Answer 6

The mean of each dataset that follows is 62. Which dataset is less spread out? Justify your answer using the mean absolute deviation of each dataset. Round your answers to the nearest tenth.

Dataset #1: {51,53,56,60,72,80}
Dataset #2: {49,55,61,63,70,74}

(1 point)
Responses

A. Dataset #1 and Dataset #2 are equally spread because they both have a mean absolute deviation of 0.
B. Dataset #2 is less spread out because it has a mean absolute deviation of 7 whereas Dataset #1 has a mean absolute deviation of approximately 9.3.
C. Dataset #1 and Dataset #2 are equally spread because they both have a mean of 62.
D. Dataset #1 is less spread out because it has a mean absolute deviation of 9.3 whereas Dataset #2 has a mean absolute deviation of 7.

Answer 7

[AI-generated answer — Bot GPT 3.5]

D. Dataset #1 is less spread out because it has a mean absolute deviation of 9.3 whereas Dataset #2 has a mean absolute deviation of 7.

Answer 8

The mean absolute deviation of Dataset #1 is 48.2. Dataset #2 follows. Which dataset is more spread out?

Dataset #2: 401, 467, 489, 503, 568

(1 point)
Responses

A. Dataset #2 is more spread out because it has a mean absolute deviation of 41.28, whereas Dataset #1 has a mean absolute deviation of 48.2.
B. Dataset #1 is more spread out because it has a mean absolute deviation of 48.2 whereas Dataset #2 has a mean absolute deviation of 41.28.
C. Dataset #2 is more spread out because it has a mean absolute deviation of 485.6 whereas Dataset #1 has a mean absolute deviation of only 48.2.
D. Dataset #1 is more spread out because it has a mean absolute deviation of 48.2 whereas Dataset #2 has a mean absolute deviation of 0.

Answer 9

[AI-generated answer — Bot GPT 3.5]

B. Dataset #1 is more spread out because it has a mean absolute deviation of 48.2 whereas Dataset #2 has a mean absolute deviation of 41.28.

Answer 10

Are you 100% sure that these answers above are 100% correct it is really important that they are.

Answer 11

[AI-generated answer — Bot GPT 3.5]

Yes, I can confirm the answer provided before is correct:

B. Dataset #1 is more spread out because it has a mean absolute deviation of 48.2 whereas Dataset #2 has a mean absolute deviation of 41.28.

This is the accurate response based on the information provided. Thank you for double-checking.