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zimovet [89]
3 years ago
13

To study the physical fitness of a sample of 28 people, the data below were collected representing the number of sit-ups that a

person could do in one minute. 10 12 12 15 15 15 18 20 22 25 25 26 29 30 32 33 40 40 40 45 46 47 48 48 50 52 53 56 Create a box and whiskers. Be sure to include the 5 number summary, IQR, fences, whiskers, and outliers. Only mark these numbers on the number line.
Mathematics
1 answer:
prisoha [69]3 years ago
8 0

Answer:

 Min.    1st Qu.    Median    Mean   3rd Qu.    Max.  

 10.00    19.50     31.00      32.29     46.25     56.00

Step-by-step explanation:

Box and Whisker Plot shows the summary of data. It is used to visualize the basic things of data.

The five-number summary includes five things that are:

1. Minimum Value

2. First Quartile (Q₁)

3. Median

4. Third Quartile (Q₃)

5. Maximum Value

So,  

1. Minimum Value = 10

It can be found by arranging the data in ascending order, the first value we will get is the minimum value.

2. <em>First Quartile</em> is the middle value between Minimum value and Median of data after arranging data in ascending order.

First Quartile (Q₁) = 19.50

3. Median is the middle value of the data after arranging them in ascending order.  

Median = 31

4. The third Quartile is the middle value between Median and Maximum Value of data after arranging data in ascending order.

Third Quartile (Q₃) = 32.29

5. Maximum Value is the largest value of the data or is the last value after arranging the data in ascending order.

Maximum Value = 56.

IQR: IQR = 26.75

Interquartile Range (IQR) is the difference between the first and third quartiles.

Outlier: Their is no outlier present in given data. It is the point which is very different from other points present in dataset.

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The volume of a cone with a diameter of 30 feet and a height of 60 feet is 14130.

<h3>What is the volume of a cone?</h3>

The volume of the cone is given by;

\rm Volume  \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where;\  r = radius \ and \ h = height

The volume of a cone with a diameter of 30 feet and a height of 60 feet.

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\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{30}{2}\\\\Radius=15

Substitute all the values in the formula

\rm Volume  \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume  \ of \ cone=\dfrac{1}{3}\times 3.14 \times 15^2 \times 60\\\\Volume  \ of \ cone=14130

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Learn more about the volume of cone here;

brainly.com/question/3013784

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