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.

The mean of the original dataset is 17.3. 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 new dataset after removing the value 70, we first need to find the sum of the remaining data values and then divide by the number of data values (18 in this case).

Sum of the original dataset = 0+10+15+4+70+15+18+20+6+8+10+12+15+18+20+2+35+40+10 = 290
Number of data values in original dataset = 19

Mean of original dataset = 290 / 19 = 15.3

Now, let's remove the value 70 and recalculate the mean:

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 values in new dataset = 18 (since we removed one value)

Mean of new dataset = 230 / 18 = 12.8

Therefore, the mean of the new dataset after removing “70” is 12.8.

Answer 2

wrong

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the error. Let's recalculate the mean of the new dataset after removing the value 70.

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 values in new dataset = 18 (since we removed one value)

Mean of new dataset = 230 / 18 = 12.8

Therefore, the mean of the new dataset after removing “70” is 12.8.

Answer 4

its wrong crying

Answer 5

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistake in my previous responses. Let's recalculate the mean of the new dataset after removing the value 70 to ensure accuracy.

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

Sum of the new dataset = 0 + 10 + 15 + 4 + 15 + 18 + 20 + 6 + 8 + 10 + 12 + 15 + 18 + 20 + 2 + 35 + 40 + 10 = 240
Number of data values in new dataset = 18

Mean of the new dataset = 240 / 18 = 13.3

Therefore, the mean of the new dataset after removing the value 70 is 13.3 (rounded to one decimal place). Thank you for pointing out the error, and I appreciate your patience.