Question

Question 1

A)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 $$. The mean of the new dataset after “70” is removed is $$.
Question 2
A)
Use the table to answer the question.

Number of Pairs of Shoes Number of 6th Graders
2 5
3 6
4 1
5 1
6 4
7 7
8 2
10 1
Michael wants to know how many pairs of shoes 6th graders typically own. He surveys the 6th graders at his summer camp. His results are given in the table. After Michael creates the table, he realizes that he forgot to include himself. Michael owns 4 pairs of shoes.

Calculate the median of the original dataset and the median of the new dataset with the data point for Michael’s 4 pairs of shoes added.

(1 point)
The median of the original dataset is $$. The median of the new dataset after another “4” is added is $$.
Question 3
A)Yasmine works as a server at a restaurant and earns different amounts in tips each night. Her tip earnings for her past 7 nights of work are listed below:

$35.80, $79.60, $38.10, $20.50, $10.45, $96.78, $45.90

Yasmine calculates that her mean tip earnings is $46.73, and her median tip earnings is $38.10. If Yasmine makes $25.32 in tips the next time she works, how will the values of her mean and median tip earnings change? Round all answers to two decimal places.(1 point)
The mean is now $$$, which is less than it was before. The median is now $$$, which is less than it was before.
Question 4
A)
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 range of the original dataset and the range of the new dataset after “70” is removed. Round your answers to one decimal place.

(1 point)
The range of the original dataset is $$.

The range of the new dataset after “70” is removed is $$.

Question 5
A)
Use the table to answer the question.

Number of Pairs of Shoes Number of 6th Graders
2 4
3 3
4 1
5 1
6 3
7 7
8 2
10 1
Michael wants to know how many pairs of shoes 6th graders own. He surveys the 6th graders at his summer camp. His results are given in the table. After Michael creates the table, he realizes that he forgot to include himself. Michael owns 4 pairs of shoes.

Determine the interquartile range (IQR) of the original dataset and the interquartile range of the new dataset with the data point for Michael’s 4 pairs of shoes added.

(1 point)
The interquartile range of the original dataset is $$.

The interquartile range of the new dataset after another “4” is added is $$.

Answer 1

[AI-generated answer — Bot GPT 3.5]

Question 1

Original dataset:
Mean = (0+10+15+4+70+15+18+20+6+8+10+12+15+18+20+2+35+40+10)/19 = 17.7

New dataset after removing "70":
Mean = (0+10+15+4+15+18+20+6+8+10+12+15+18+20+2+35+40+10)/18 = 14.833

Therefore, the mean of the original dataset is 17.7 and the mean of the new dataset after removing "70" is 14.833.

Question 2

Original dataset:
Median = 6 pairs (as the middle value when arranged in ascending order)

New dataset after adding Michael's data point:
Median = 6 pairs (as the middle value when arranged in ascending order)

Therefore, the median of the original dataset and the new dataset remains at 6 pairs.

Question 3

Given data:
$35.80, $79.60, $38.10, $20.50, $10.45, $96.78, $45.90

Mean = ($35.80 + $79.60 + $38.10 + $20.50 + $10.45 + $96.78 + $45.90 + $25.32)/8 ≈ $43.31

Median = $38.10

Therefore, the new mean is $43.31 and the new median is $38.10.

Question 4

Original dataset:
Range = 70 - 0 = 70

New dataset after removing "70":
Range = 40 - 0 = 40

Therefore, the range of the original dataset is 70 and the range of the new dataset after removing "70" is 40.

Question 5

Original dataset:
IQR = Q3 - Q1 = 7 pairs - 3 pairs = 4 pairs

New dataset after adding Michael's data point:
IQR = Q3 - Q1 = 7 pairs - 3 pairs = 4 pairs

Therefore, the interquartile range of the original dataset and the new dataset remains at 4 pairs.

Answer 2

14.833 is wrong

Answer 3

[AI-generated answer — Bot GPT 3.5]

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

New dataset after removing "70":
Mean = (0+10+15+4+15+18+20+6+8+10+12+15+18+20+2+35+40+10)/18 = 15.611

Therefore, the mean of the original dataset is 17.7 and the mean of the new dataset after removing "70" is 15.611. Thank you for pointing out the error.

Answer 4

wrong

Answer 5

[AI-generated answer — Bot GPT 3.5]

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

New dataset after removing "70":
Sum of remaining values = 0+10+15+4+15+18+20+6+8+10+12+15+18+20+2+35+40+10 = 230
Number of remaining values = 18

Mean = 230/18 ≈ 12.78

Therefore, the mean of the original dataset is 17.7 and the mean of the new dataset after removing "70" is approximately 12.78. Thank you for your patience.

Answer 6

number 3 is wrong

Answer 7

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake in question 3. Let's recalculate the mean and median tip earnings for Yasmine's data.

Given data for Yasmine's tip earnings:
$35.80, $79.60, $38.10, $20.50, $10.45, $96.78, $45.90

Mean tip earnings = ($35.80 + $79.60 + $38.10 + $20.50 + $10.45 + $96.78 + $45.90) / 7 = $42.88

Median tip earnings = $38.10

After adding her next tip earnings of $25.32:

New mean tip earnings = ($35.80 + $79.60 + $38.10 + $20.50 + $10.45 + $96.78 + $45.90 + $25.32) / 8 = $43.34

New median tip earnings = $38.10

Therefore, the mean changes from $46.73 to $43.34 (decreases) and the median remains the same at $38.10. Thank you for bringing this to my attention.