A group of 4 friends likes to bowl together, and each friend keeps track of his all-time highest score in a single game. Their high scores are all between 180 and 220, except for Adam, whose high score is 250. Adam then bowls a great game and has a new high score of 290. How will increasing Adam's high score affect the mean and median?

A
Both the mean and median will increase.
(Choice B)
B
The median will increase, and the mean will stay the same.
(Choice C)
C
The mean will increase, and the median will stay the same.
(Choice D)
D
The mean will increase, and the median will decrease.

Respuesta :

Answer:

Option: C is the correct answer.

    C     The mean will increase, and the median will stay the same.

Step-by-step explanation:

We know that the mean of scores is the average value of the scores of  the score obtained by 4 friends.

i.e. it is the ratio of sum of scores of 4 friends to the total number of person i.e. 4.

Hence, if the score of any of the person will increase then the mean will also increase

( Since, the denominator remains the same and the numerator is increasing so , the resultant value will increase )

Also, we know that the median of the score lie between the data set, i.e. the change in the score of the last score won't affect the median :

Since, here we have  4 data points and the median lie between the 2nd and 3rd data point so change in the 4th data point won't affect the median.

Hence, increasing Adam's high score affect the mean and median as:

Mean will increase and Median remains the same.

The mean and median will increase as Adam's high score rises, while the median will remain unchanged. Then the correct option is C.

What is Mean?

Mean is simply defined as the average of the given set of numbers. The mean is considered one of the measures of central tendencies in statistics.

What is a median?

The median of the data is the middle value of the data which is also known as the central tendency of the data and is known as the median.

A group of 4 friends likes to bowl together, and each friend keeps track of his all-time highest score in a single game.

Their high scores are all between 180 and 220, except for Adam, whose high score is 250.

Adam then bowls a great game and has a new high score of 290.

If any of the individuals' scores improve, the mean will improve as well.

We also observe that the median of the scoring lies inside the data set, implying that a change in the last score will have no effect on the median.

Because we have four data sets and the median is between the second and third, a change in the fourth data point will have no effect on the median.

More about the mean and the median link is given below.

https://brainly.com/question/17060266

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