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zmey [24]
3 years ago
6

The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to

state what percentage of their nursing scholarships were presently held by women. The responses were 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.
Required:
Find the mean, median, mode, and geometric mean. Which is the most appropriate measure of central tendency? The least appropriate? Explain your answer. Is there an outlier?
Mathematics
1 answer:
Lesechka [4]3 years ago
4 0

Answer: Mean = 3.5 , median = 2.5, mode = 2, geometric mean = 2.74

Median is the most appropriate measure of central tendency.

The least appropriate = mean

Yes there is an outlier.

Step-by-step explanation:

Given responses : 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.

First arrange them in increasing order, \sqrt[10]{1\times1\times2\times2\times2\times3\times4\times5\times5\times10 }\\\\=\sqrt[10]{24000} \approx2.74

Its sum = 35

Mean of n observations = (Sum of observations) ÷ n

Mean = (35) ÷ 10

=3.5

Here n =10 (even)

Median = average of middle most numbers = \dfrac{2+3}{2}=\dfrac52=2.5

Mode = most repeated number = 2    (thrice)

geometric mean = \sqrt[n]{x_1\times x_2\times.... x_n}

10 is an outlier as it is very large as compare to other numbers.

When outlier is present in data , the median is the most appropriate measure of central tendency.

Mean affected badly by the outlier so it the least appropriate.

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2) Juan had $622 in his checking account. He deposited a check for $180, and $100
adoni [48]

Answer:

867

Step-by-step explanation:

622+180+100=902

902-35=867

3 0
2 years ago
1. Are the polygons similar?
jeyben [28]

The polygons are similar.

This is because dividing the corresponding sides forms the same ratio, as shown by the three equations below

35/28 = 1.25

25/20 = 1.25

(15.5)/(12.4) = 1.25

So the larger figure on the right has side lengths that are 1.25 times larger compared to the corresponding sides of the figure on the left.

You'll need to flip the figure on the left so that the side labeled "20" is along the top, and the "28" is along the bottom.

After this flip happens, also note that the angle arc markings match up. The bottom pairs of angles of each figure are shown with a single arc, while the top angles are shown as double arcs. This helps visually show which angles pair up and are congruent to one another.

Because we have similar proportions as discussed earlier, and congruent pairs of angles like this, this shows the two figures are similar quadrilaterals. The one on the right is simply an enlarged scaled up copy of the figure on the left.

3 0
2 years ago
Derrick had to paint two of his bedroom walls
swat32
Can you be more specific with the question
3 0
3 years ago
Please help I’m on a test<br><br><br> “Given the triangle below, what is the longest side length?”
Mkey [24]

~11.31

Pythagorean Theorem because it is a right triangle.

7 0
2 years ago
Which of the following is a solution of x2 + 5x = −2?
adoni [48]
X^2 + 5x = -2
x^2 + 5x + 2 = 0

x = -b (+-) sqrt (b^2 - 4ac) / 2a
a = 1, b = 5, and c = 2

x = -5 (+-) sqrt (5^2 - 4(1)(2)) / 2(1)
x = -5 (+-) sqrt (25 - 8) / 2
x = -5 (+-) sqrt (17) / 2

answer is : negative 5 plus or minus the square root of 17 divided by 2
4 0
3 years ago
Read 2 more answers
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