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The measures of central tendency for this data set are as follows:
- Mean = 3.55.
- Median = 3.5.
- Mode = 3.
In Mathematics, there are three (3) main measures of central tendency and these include the following:
- Mean
- Median
- Mode
For the mean, we have:
Mathematically, the mean for this data set would be calculated by using this formula:
Mean = [F(x)]/n
For the total number of data, we have:
F(x) = 0 + 1 + 1 + 1 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7
F(x) = 71
Substituting the parameters into the formula, we have:
Mean = [F(x)]/n
Mean = 71/20
Mean = 3.55.
For the median, we have:
First of all, we would order the data from lowest to highest and then determine the median as follows:
Data = {0, 1, 1, 1, 2, 2, 3, 3, 3,} 3, 4, {4, 4, 5, 5, 5, 6, 6, 6, 7}
Median = {3 + 4}/2
Median = 7/2
Median = 3.5.
<h3>How to calculate the mode?</h3>A mode refers to the most frequently occurring number in a data set. Thus, the mode for this data set is equal to 3.
In conclusion, a box plot of the measures of central tendency for this data set is shown in the image attached below.
Read more on mean here: brainly.com/question/9550536
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<h2>Hello!</h2>
The answer is:
The correct option is:
D. 40 feet.
<h2>Why?</h2>To solve the problem and calculate the width of the river, we need to assume that the distance from A to B and the angle formed between that distance and the distance from A to the other point (C) is equal to 90°, meaning that we are working with a right triangle, also, we need to use the given angle which is equal to 34°. So, to solve the problem we can use the following trigonometric relation:
Where,
alpha is the given angle, 34°
Adjacent is the distance from A to B, which is equal to 60 feet.
Opposite is the distance from A to C which is also equal to the width of the river.
So, substituting and calculating we have:
Hence, we have that the correct option is:
D. 40 feet.
Have a nice day!