Question

#2. Find the mean, median, and mode for the following sample of scores:

                                                3, 6, 7, 3, 9, 8, 3, 7, 5

Mean=

Median=

Mode=

#4. Find the mean, median, and mode for the scores in the following frequency distribution table:

X	F
8	1
7	1
6	2
5	5
4	2
3	2

Mean=

Median=

Mode=

#6. A population of N = 15 scores has SX= 120. What is the population mean?

#10 One sample has a mean of M = 8 and a second sample has a mean of M = 16. The two samples are combined into a single set of scores.

a. What is the mean for the combined set if both of the original samples have n = 4 scores?

b. What is the mean for the combined set if the first sample has n = 3 and the second sample has n = 5?

c. What is the mean for the combined set if the first sample has n = 5 and the second sample has n = 3?

#12. A population of N = 15 scores has a mean of μ = 8. One score in the population is changed from X = 20 to X = 5. What is the value for the new population mean?

#15 A sample of n = 7 scores has a mean of M = 9. If one new person with a score of X = 1 is added to the sample, what is the value for the new mean?

Answer 1

We would be looking at Question 2 here:

The numbers are first arranged in ascending order here as:
3, 3, 3, 5, 6, 7, 7, 8, 9

The required metrics now are computed here as:

Therefore 5.6667 is the required mean here.

The median is defined as the middle value of the given data. As we have 9 values here, the median would be defined as the 5th value in the data. Therefore the median here is given as 6

The mode defined as the most frequent data point occurring in the data which is 3 here as it appears three times. Therefore 3 is the required mode here.