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Box Plots Practice

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An illustration shows a number line ranging from 0 to 12 in one unit increments. Each number is labeled and represented with a tick mark. A box plot is placed above the number line. The box is divided into two sections.
The first section of the box plot extends from 1.5 to 3. The second section of the box plot extends from 3 to 7.5. A line starts at the left side of the first section of the box plot and extends from 1.5 to 0, where it ends with a short vertical line. Another line starts at the right side of the second section of the box plot and extends from 7.5 to 12, where it ends with a short vertical line.

Evita constructs this box plot to show how many home runs each of her baseball teammates hit this year.

What values are the first and third quartiles of this dataset?

(1 point)
first quartile =
, third quartile =
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Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the first and third quartiles of the dataset represented in the box plot, we can look at the boundaries of the two sections of the box plot.

The first quartile is represented by the lower boundary of the second section of the box plot, which is at 3.

The third quartile is represented by the upper boundary of the second section of the box plot, which is at 7.5.

Therefore, the first quartile is 3 and the third quartile is 7.5.

Answer 2

its not 3

Answer 3

[AI-generated answer — Bot GPT 3.5]

My apologies for the mistake. To find the first and third quartiles in a box plot, we need to look at the boundaries of the two sections of the box plot.

In this case, the first quartile is located at the lower boundary of the first section of the box plot, which is at 1.5.

The third quartile is located at the upper boundary of the second section of the box plot, which is at 7.5.

Therefore, the first quartile is 1.5 and the third quartile is 7.5.

Answer 4

Enter the values to complete the box plot of dataset 23, 24, 25, 26, 27, 28.(2 points)

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the values needed to complete the box plot of the dataset {23, 24, 25, 26, 27, 28}, we first need to find the first quartile (Q1) and the third quartile (Q3) of the dataset.

Step 1: Order the dataset in ascending order:
23, 24, 25, 26, 27, 28

Step 2: Find the median, which is the middle value of the dataset:
Since the dataset has an even number of values, the median is the average of the two middle values: (25 + 26) / 2 = 25.5

Step 3: Find Q1 and Q3:
For Q1, we look at the values below the median:
Q1 = (23 + 24) / 2 = 23.5

For Q3, we look at the values above the median:
Q3 = (27 + 28) / 2 = 27.5

Now, we have the values to complete the box plot:
Lower whisker: 23
Q1: 23.5
Median: 25.5
Q3: 27.5
Upper whisker: 28

So, the completed box plot for the dataset {23, 24, 25, 26, 27, 28} would have the following values:
Lower whisker: 23
Q1: 23.5
Median: 25.5
Q3: 27.5
Upper whisker: 28

Answer 6

23.5 and 27.5 are incorrect

Answer 7

[AI-generated answer — Bot GPT 3.5]

I apologize for the error. Let's recalculate the first and third quartiles for the dataset {23, 24, 25, 26, 27, 28}.

Step 1: Order the dataset in ascending order:
23, 24, 25, 26, 27, 28

Step 2: Find the median, which is the middle value of the dataset:
Since the dataset has an even number of values, the median is the average of the two middle values: (25 + 26) / 2 = 25.5

Step 3: Find Q1 and Q3:
For Q1, we look at the values below the median:
Q1 = (23 + 24) / 2 = 23.5

For Q3, we look at the values above the median:
Q3 = (27 + 28) / 2 = 27.5

Therefore, the first quartile (Q1) is 24 and the third quartile (Q3) is 27.

Answer 8

Enter the values to complete the box plot of dataset 32, 34, 36, 38, 40, 42, 44, 46, 48. (2 points)

Answer 9

[AI-generated answer — Bot GPT 3.5]

To complete the box plot for the dataset {32, 34, 36, 38, 40, 42, 44, 46, 48}, we need to find the lower whisker, minimum value, maximum value, first quartile (Q1), median, and third quartile (Q3).

Step 1: Order the dataset in ascending order:
32, 34, 36, 38, 40, 42, 44, 46, 48

Step 2: Find the minimum, maximum, median, Q1, and Q3:
Minimum: 32
Maximum: 48
Median: The middle value of the dataset is the average of the two middle values (40 and 42): (40 + 42) / 2 = 41
Q1: The median of the lower half of the dataset (32, 34, 36, 38, 40): (34 + 36) / 2 = 35
Q3: The median of the upper half of the dataset (42, 44, 46, 48): (44 + 46) / 2 = 45

Therefore, the completed box plot for the dataset {32, 34, 36, 38, 40, 42, 44, 46, 48} would have the following values:
Lower whisker: 32
Q1: 35
Median: 41
Q3: 45
Upper whisker: 48

Answer 10

41 is incorrect

Answer 11

[AI-generated answer — Bot GPT 3.5]

Let's recalculate the values for completing the box plot for the dataset {32, 34, 36, 38, 40, 42, 44, 46, 48}.

Step 1: Order the dataset in ascending order:
32, 34, 36, 38, 40, 42, 44, 46, 48

Step 2: Find the median, which is the middle value of the dataset:
Since the dataset has an odd number of values, the median is the middle value, which is 40.

Step 3: Find Q1 and Q3:
Q1 is the median of the lower half of the dataset (32, 34, 36, 38, 40): (34 + 36) / 2 = 35
Q3 is the median of the upper half of the dataset (42, 44, 46, 48): (44 + 46) / 2 = 45

Therefore, the values to complete the box plot for the dataset {32, 34, 36, 38, 40, 42, 44, 46, 48} are:
Lower whisker: 32
Q1: 35
Median: 40
Q3: 45
Upper whisker: 48

I hope this helps!