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 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
.

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Answer 1

[AI-generated answer — Bot GPT 3.5]

To calculate the range of the original dataset, we first need to find the minimum and maximum values in the data set.

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

Minimum value: 0
Maximum value: 70

Range = Maximum value - Minimum value
Range = 70 - 0
Range = 70

Therefore, the range of the original dataset is 70.

After removing the data value "70", the new dataset becomes: {0, 10, 15, 4, 15, 18, 20, 6, 8, 10, 12, 15, 18, 20, 2, 35, 40, 10}

New Minimum value: 0
New Maximum value: 40

New Range = New Maximum value - New Minimum value
New Range = 40 - 0
New Range = 40

Therefore, the range of the new dataset after "70" is removed is 40.

Answer 2

and what's the original

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the oversight. The original range of the dataset {0, 10, 15, 4, 70, 15, 18, 20, 6, 8, 10, 12, 15, 18, 20, 2, 35, 40, 10} is 70.

Answer 4

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
.

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Answer 5

[AI-generated answer — Bot GPT 3.5]

To calculate the interquartile range (IQR) of the original dataset, we need to first find the quartiles.

Original dataset: {2, 2, 2, 2, 3, 3, 3, 4, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 10}

Step 1: Find the median (second quartile Q2)
Median = (n + 1) / 2 = (22 + 1) / 2 = 11th value
Median = 6

Step 2: Find the median of the lower half of the data (first quartile Q1)
Q1 = (3rd + 4th) / 2 = (3 + 3) / 2 = 3

Step 3: Find the median of the upper half of the data (third quartile Q3)
Q3 = (16th + 17th) / 2 = (7 + 7) / 2 = 7

IQR = Q3 - Q1
IQR = 7 - 3
IQR = 4

Therefore, the interquartile range of the original dataset is 4.

After adding Michael's data point (4 pairs of shoes) to the dataset, the new dataset becomes: {2, 2, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 10}

New dataset: {2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 10}

Calculating the quartiles as before gives:
Q1 = 3
Q2 = 6
Q3 = 7

IQR = Q3 - Q1
IQR = 7 - 3
IQR = 4

Therefore, the interquartile range of the new dataset after adding another "4" is 4.