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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 years ago
the high school debate team is developing a logo to represent their club. A scale drawing of the logo design is presented below,
Fantom [35]

Answer:

The enlargement will be 25 times and the enlargement area will be $2250 \text{ inches}^2$.

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7 0
2 years ago
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Step-by-step explanation:

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8 0
2 years ago
Emily leaves her house at exactly 8:25 a.m. to bike to her school, which is 3.42 miles away. When she passes the post office, wh
mafiozo [28]
First, let's find out the number of minutes Emily has to get to school. From 8:25 to 8:50, there are 25 minutes.

Next, let's find out  the number of minutes before Emily looks at her watch. From 8:25 to 8:28.50, there are 3.5 minutes.

Now let's calculate Emily's speed in miles per minute. To do so, divide the distance traveled by the time it took:

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2 years ago
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