Question

Subject: Statistics

Please show complete work for the multiple-choice questions below

1. Given that a collection of scores on a quiz leads to a mean of 40, a median of
38, and a mode of 36. If we added l0 points to each score what would be the
new median?
a. 38
b. 40
c. 48
d. 50

2. When an odd number of ungrouped scores are arranged according to
magnitude, the median is the:
a. score with the greatest frequency
b. middle score
c. mean of the two middle scores
d. mean of the highest and lowest scores

3. When an even number of ungrouped scores are arranged according to
magnitude, the median is the:
a. score with the greatest frequency
b. mean of the two middle scores
c. middle score
d. mean of the highest and lowest scores

4. A group of 20 students obtained a mean score of 70 on an examination. A
second group of 30 students obtained a mean score of 80 on the same
examination. The mean score for the 50 students was:
a. 70
b. 74
c. 75
d. 76

5. The most frequently occurring score is the:
a. midrange
b. mean
c. mode
d. median

Answer 1

1.

48 because we add a constant 10 to everything, median increases the same (38 + 10) = 48

c. 48

2.

If there is an odd number of terms, the median is the center term.

b. middle score

3.

If there is an even number of terms, add the two middle terms and divide by 2.

b. mean of the two middle scores

4.

20 students obtained a mean score of 70

30 students obtained a mean score of 80

The mean score for the 50 students was: 70+80 / 2 = 75

c. 75

5.

The most frequently occurring score is the:

c. mode

***please ask if you have any doubts.Happy to help you.Thank you.Please Like.