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vlada-n [284]
3 years ago
9

A basketball coach keeps track of the points scored per game for all of her players. She gives a trophy to to the player with th

e highest mean score at the end of the season. Which of the following justifies why she uses the mean instead of the median?
She wants to take unusually of the good and bad games into account
She wants to remove unusually good and unusually bad games from consideration
The mean and median give the same information, so it doesn't matter which one she chooses.
Mathematics
2 answers:
Natasha2012 [34]3 years ago
5 0

Answer:yes

Step-by-step explanation:

Andrei [34K]3 years ago
3 0

Answer:

She wants to take unusually of the good and bad games into account

Step-by-step explanation:

Given that a basketball coach keeps track of the points scored per game for all of her players.  A trophy is given to the player with the highest mean score at the end of the season.

Mean vs median:

Mean is the arithmetic average of all the entries while median is the middle entry after arranging in ascending order.

Median is not affected by extreme items but mean is very much affected by unusually high or low scores.

Here since the trophy is decided to be given to the highest mean score it is obvious that

She wants to take unusually of the good and bad games into account

Because of this only, mean is taken instead of median.

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Answer:

0.8762 or 87.62%

Step-by-step explanation:

Since our mean is μ=14.3 and our standard deviation is σ=3.7.  If we're trying to figure out what percentage is P(10 ≤ x ≤ 26) equal to we must first calculate our z values as such:

z=\frac{x-\mu}{\sigma}

Our x value ranges from 10 to 26 therefore let x=10 and we obtain:

z=\frac{10-14.3}{3.7} =-1.16\\

If we look at our z-table we find that the probability associated with a z value of -1.16 is 0.1230 meaning 12.30%.

Now let's calculate the z value when x = 26 and so:

z=\frac{26-14.3}{3.7}=3.16\\

Similarly, we use the z-table again and find that the probability associated with a z value of 3.16 is 0.9992 meaning 99.92%.

Now we want to find the probability in between 10 and 26 so we will now subtract the upper limit minus the lower limit in P(10 ≤ x ≤ 26) therefore:

0.9992 - 0.1230 = 0.8762

or 87.62%

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