Question

The director of a local Parks and Recreation department is interested in the number of hours kids spend outside each week. She surveys a group of 19 kids in her town and asks them how many hours they spent outside last week. Her results follow. {0,10,15,4,70,15,18,20,6,8,10,12,15,18,20,2,35,40,10} The director decides to remove the data value “70” since it is a lot larger than the rest of the data values. Calculate the mean of the original dataset and the mean of the new dataset after “70” is removed. Round your answers to one decimal place.(1 point) The mean of the original dataset is . The mean of the new dataset after “70” is removed is .

Answer 1

[AI-generated answer — Bot GPT 3.5]

To calculate the mean of the original dataset, we add up all the data values and divide by the total number of data values:

Mean of original dataset = (0 + 10 + 15 + 4 + 70 + 15 + 18 + 20 + 6 + 8 + 10 + 12 + 15 + 18 + 20 + 2 + 35 + 40 + 10) / 19

Mean of original dataset = 328 / 19

Mean of original dataset = 17.3

Now, to calculate the mean of the new dataset after removing the data value "70", we add up all the remaining data values and divide by the new total number of data values (18 in this case):

Mean of new dataset = (0 + 10 + 15 + 4 + 15 + 18 + 20 + 6 + 8 + 10 + 12 + 15 + 18 + 20 + 2 + 35 + 40 + 10) / 18

Mean of new dataset = 248 / 18

Mean of new dataset = 13.8

Therefore, the mean of the original dataset is 17.3 and the mean of the new dataset after "70" is removed is 13.8.

Answer 2

17.3 is right but not 13.8

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the error in my previous response. Let's recalculate the mean of the new dataset after removing the data value "70".

Original dataset: {0, 10, 15, 4, 70, 15, 18, 20, 6, 8, 10, 12, 15, 18, 20, 2, 35, 40, 10}

Remove the data value "70" giving us the new dataset: {0, 10, 15, 4, 15, 18, 20, 6, 8, 10, 12, 15, 18, 20, 2, 35, 40, 10}

Mean of the new dataset = (0 + 10 + 15 + 4 + 15 + 18 + 20 + 6 + 8 + 10 + 12 + 15 + 18 + 20 + 2 + 35 + 40 + 10) / 18

Mean of the new dataset = 238 / 18

Mean of the new dataset = 13.2

Therefore, the mean of the new dataset after removing the data value "70" is 13.2. Thank you for catching that mistake.

Answer 4

thats also wrong

Answer 5

[AI-generated answer — Bot GPT 3.5]

Apologies for the oversight. Let's recalculate the mean of the new dataset after removing the data value "70".

Original dataset: {0, 10, 15, 4, 70, 15, 18, 20, 6, 8, 10, 12, 15, 18, 20, 2, 35, 40, 10}

Remove the data value "70" giving us the new dataset: {0, 10, 15, 4, 15, 18, 20, 6, 8, 10, 12, 15, 18, 20, 2, 35, 40, 10}

Mean of the new dataset = (0 + 10 + 15 + 4 + 15 + 18 + 20 + 6 + 8 + 10 + 12 + 15 + 18 + 20 + 2 + 35 + 40 + 10) / 18

Mean of the new dataset = 218 / 18

Mean of the new dataset = 12.1

Therefore, the mean of the new dataset after removing the data value "70" is 12.1. Thank you for your patience.

Answer 6

its also wrong

Answer 7

[AI-generated answer — Bot GPT 3.5]

Let's recalculate the mean of the new dataset after removing the data value "70".

Original dataset: {0, 10, 15, 4, 70, 15, 18, 20, 6, 8, 10, 12, 15, 18, 20, 2, 35, 40, 10}

New dataset after removing "70": {0, 10, 15, 4, 15, 18, 20, 6, 8, 10, 12, 15, 18, 20, 2, 35, 40, 10}

Calculate the mean for the new dataset:

Sum of the new dataset = 0 + 10 + 15 + 4 + 15 + 18 + 20 + 6 + 8 + 10 + 12 + 15 + 18 + 20 + 2 + 35 + 40 + 10 = 230

Number of data points in the new dataset = 18

Mean of the new dataset = Sum of the new dataset / Number of data points = 230 / 18 = 12.8 (rounded to one decimal place)

Therefore, the mean of the new dataset after removing the data value "70" is 12.8. Thank you for your patience.

Answer 8

i tried that it said it was wrong

Answer 9

[AI-generated answer — Bot GPT 3.5]

I apologize for the errors in the previous calculations. Let's recalculate the mean of the new dataset after removing the data value "70" correctly.

Original dataset: {0, 10, 15, 4, 70, 15, 18, 20, 6, 8, 10, 12, 15, 18, 20, 2, 35, 40, 10}

New dataset after removing "70": {0, 10, 15, 4, 15, 18, 20, 6, 8, 10, 12, 15, 18, 20, 2, 35, 40, 10}

Calculate the mean for the new dataset:

Sum of the new dataset = 0 + 10 + 15 + 4 + 15 + 18 + 20 + 6 + 8 + 10 + 12 + 15 + 18 + 20 + 2 + 35 + 40 + 10 = 230

Number of data points in the new dataset = 18

Mean of the new dataset = Sum of the new dataset / Number of data points = 230 / 18 = 12.8 (rounded to one decimal place)

Therefore, the mean of the new dataset after removing the data value "70" is 12.8.

Answer 10

didnt you just give me that

Answer 11

[AI-generated answer — Bot GPT 3.5]

I apologize for the oversight. Let's reevaluate the situation.

Original Dataset: {0, 10, 15, 4, 70, 15, 18, 20, 6, 8, 10, 12, 15, 18, 20, 2, 35, 40, 10}

Calculate the mean of the original dataset (including all values):

Mean of original dataset = (0 + 10 + 15 + 4 + 70 + 15 + 18 + 20 + 6 + 8 + 10 + 12 + 15 + 18 + 20 + 2 + 35 + 40 + 10) / 19
Mean of original dataset = 328 / 19
Mean of original dataset ≈ 17.3

After removing the outlier "70", we have the following new dataset {0, 10, 15, 4, 15, 18, 20, 6, 8, 10, 12, 15, 18, 20, 2, 35, 40, 10}:

Calculate the mean of the new dataset (excluding "70"):

Mean of new dataset = (0 + 10 + 15 + 4 + 15 + 18 + 20 + 6 + 8 + 10 + 12 + 15 + 18 + 20 + 2 + 35 + 40 + 10) / 18
Mean of new dataset = 218 / 18
Mean of new dataset ≈ 12.1

Therefore, the mean of the original dataset is approximately 17.3, while the mean of the new dataset after removing the outlier "70" is approximately 12.1.