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klio [65]
3 years ago
8

A committee of six Congressmen will be selected from a group of eight Republicans and four Democrats. Find the number of ways of

obtaining a committee with exactly three Republicans.
Mathematics
1 answer:
marysya [2.9K]3 years ago
5 0

Answer:

224

Step-by-step explanation:

Given that a committee of six Congressmen will be selected from a group of eight Republicans and four Democrats.

Total no of ways of selecting 6 persons from the given list

= taking 6 persons out of 12 persons

= 12C6\\=924

Favourable ways

= ways of selecting 3 republicians

= 3 republicians and 3 democrats

= 8C3(4C3)\\= 4(56)\\\\=224

the number of ways of obtaining a committee with exactly three Republicans.

= 224

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Answer:

A.The mean would increase.

Step-by-step explanation:

Outliers are numerical values in a data set that are very different from the other values. These values are either too large or too small compared to the others.

Presence of outliers effect the measures of central tendency.

The measures of central tendency are mean, median and mode.

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Effect of outliers on mean, median and mode:

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  • Mode: The presence of outliers does not have any effect on the mode.

The mean of the test scores without the outlier is:

   \bar{x}=\frac{Total of the observations-Outlier value}{n-1} \\=\frac{(86*16)-72}{15} \\=\frac{1304}{15}\\ =86.9333

*Here <em>n</em> is the number of observations.

So, with the outlier the mean is 86 and without the outlier the mean is 86.9333.

The mean increased.

Since the median cannot be computed without the actual data, no conclusion can be drawn about the median.

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After removing the outlier value of 72 the mean of the test scores increased from 86 to 86.9333.

Thus, the the truer statement will be that when the outlier is removed the mean of the data set increases.

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kherson [118]
1000 this is because it is the right one
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3 years ago
Read 2 more answers
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