Question

after taking two more tests, the mean of simons test score data increases but the median remains the same. which values could be the scores of the two additional tests? a 77 and 78 b 58 and 80 c 75 and 100 d 90 and 94 question #4 the box - and - whisker plot below shows the number of points each member of the middle school basketball team made during the game on saturday. number of points scored what was the greatest number of points scored by a basketball player during the game on saturday? a 4 b 6 c 7 d 8

Explanation:

Step1: Recall mean and median concepts

Mean is the sum of all data - points divided by the number of data - points. Median is the middle value when data is arranged in ascending order. To increase the mean and keep the median the same, the new values should be large enough to increase the sum (and thus the mean) without changing the middle - value.

Step2: Analyze option A

If the scores are 77 and 78, they may not be large enough to significantly increase the mean.

Step3: Analyze option B

Scores of 58 and 80. The 58 is a relatively low score and may not increase the mean as much as needed while keeping the median the same.

Step4: Analyze option C

If we add 75 and 100. The 100 is a high score that will increase the sum of all scores (increasing the mean), and if the original data - set has an appropriate number of values, the median can remain the same.

Step5: Analyze option D

Scores of 90 and 94 will increase the mean, but we need to consider if the median will remain the same. Without knowing the original data - set size and values, we cannot be sure that the median will stay the same as well as the mean will increase. But option C is more likely as the large value of 100 has a greater impact on the mean.

For the box - and - whisker plot question:

Step1: Recall box - and - whisker plot properties

In a box - and - whisker plot, the end of the right - hand whisker represents the maximum value in the data - set.

Step2: Identify the maximum value

Looking at the box - and - whisker plot, the right - hand whisker ends at 8. So the greatest number of points scored is 8.

Answer:

Question 1: C. 75 and 100
Question 2: D. 8