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Appropriate Measures of Central Tendency and Variability

Total questions: 28

Worksheet time: 56mins

Name
Class
Date
1.

Which of one of the following represents the best estimate of the population mean?

a)

The sample mean

b)

The mean of several sample means

c)

The mode of several sample means

d)

The median of several sample means

2.

If you obtained a sample of data that was relatively normally distributed and had no extreme scores, which measure of central tendency would you opt for?

a)

Mean

b)

Median

c)

Mode

d)

None of the above

3.

Which of the following measures of central tendency are sensitive to extreme scores?

a)

Mean

b)

Median

c)

Mode

d)

None of the above

4.

Given the following graph, how would you describe the distribution?

a)

Normal

b)

Positively skewed

c)

Negatively skewed

d)

Bimodal

5.

A researcher is studying the effects of having (or not having) a pet on aggression (measured as scores in an aggression test). What is the best central tendency for the independent variable?

a)

mean

b)

median

c)

mode

d)

none of the above

6.

A researcher is studying the effects of having (or not having) a pet on aggression (measured as scores in an aggression test). What is the best central tendency for the dependent variable?

a)

mean

b)

median

c)

mode

d)

none of the above

7.

You have grouped elderly into three groups: (1) those who will perform daily shibashi qi gong exercises, (2) those who will undergo counseling as usual, and (3) those who will undergo nothing. You will then compare the subjective happiness reports (as scores) of participants across this three groups. Which is the best measure of central tendency for your IV?

a)

Mean

b)

Median

c)

Mode

d)

None of the above

8.

You have grouped elderly into three groups: (1) those who will perform daily shibashi qi gong exercises, (2) those who will undergo counseling as usual, and (3) those who will undergo nothing. You will then compare the subjective happiness reports (as scores) of participants across this three groups. Which is the best measure of central tendency for your DV?

a)

Mean

b)

Median

c)

Mode

d)

None of the above

9.

The researcher is describing his sample this way, "half of the participants scored less than 33 and the remaining half scored more than 33." Which measure of central tendency is used here?

a)

mean

b)

median

c)

mode

d)

none of the above

10.

If a researcher studies a nominal variable, which of the following measure of central tendency is most appropriate?

a)

mean

b)

median

c)

mode

d)

none of the above

11.

If the researcher is describing the ages of the participants according to age groups, which of the following measure of central tendency is most appropriate?

a)

mean

b)

median

c)

mode

d)

none of the above

12.

The researcher was asked to make a description about the IQ scores of the participants. Which of the following central tendency measure is most appropriate?

a)

mean

b)

median

c)

mode

d)

none of the above

13.

The researcher was asked to describe the IQ ranges of the participants (e.g. average, above average, high, etc.). Which of the following measure of central tendency is most appropriate?

a)

mean

b)

median

c)

mode

d)

none of the above

14.

The researcher was studying the effects of happiness (as scores) on the wellbeing (as scores) of the participants. Which of the following central tendency is most appropriate for the DV?

a)

mean

b)

median

c)

mode

d)

none of the above

15.

In a 50-item quiz, the participants (n=15) got a score of 47, 45, 12, 48, 47, 47, 49, 50, 9, 48, 46, 46, 47, 45, 49. Which of the following is the best central tendency to use? You may choose multiple answers.

a)

mean

b)

median

c)

mode

d)

none of the above

16.

The data shows from a sample (n=30):

Males = 14

Females = 16

What is the mean?

a)

1

b)

(14+16)/30

c)

2

d)

Not applicable

17.

The scores in 50-item quiz with a sample n=11 are: 2,4,5,5,6,7,7,8,9,9,43. What is the most correct central tendency description to use?

a)

mean = 9.55

b)

median = 7.25

c)

mode = 5, 7, 9

d)

none of the above

18.

The standard deviation is equal to:

a)

the variance

b)

the square root of the variance

c)

the variance squared

d)

the variance divided by the number of scores

19.

What is the relationship between sampling size and sampling error?

a)

The larger the sample size, the larger the sampling error

b)

The larger the sample size, the smaller the sampling error

c)

Sample size equals sampling error

d)

None of the above

20.

The mode is:

a)

the frequency of the most common score divided by the total number of scores

b)

The middle score after all the scores have been ranked

c)

The most frequently occurring score

d)

The sum of all the scored divided by the number of scores

21.

A normal distribution should have which of the following properties?

a)

Bell-shaped

b)

Symmetrical

c)

Non-skewed

d)

All of the above

22.

With the following scores in a 50-item test with n=13: 3, 22, 22, 23, 24, 24, 25, 25, 26, 26, 28, 28, 50. What is the most appropriate measure of variability?

a)

Range

b)

Standard deviation

c)

Both Range and SD

d)

None of the above

23.

In a test, Section A got a standard deviation of 1.34 while Section B got a standard deviation of 6.54. Which of the following statements would be most correct about this?

a)

Section B got a better performance than Section A

b)

Section A got a better performance than Section B

c)

Section A's scores are more similar to each other than Section B

d)

Section B's scores are more similar to each other than Section A

24.

The researcher is comparing two groups in a 50-item test. The groups descriptive statistics yielded:

Group A: mean = 43, sd = 0.02

Group B: mean = 25, sd = 1.67

Which of the following groups would likely be skewed?

a)

Group A

b)

Group B

c)

Both Group A and B

d)

Not enough information

25.

A researcher was studying the differences in IQ between males and females. Which is the most appropriate measure of variability to use for the IV?

a)

Range

b)

Variance

c)

Standard Deviation

d)

None of the above

26.

If you randomly select a sample of 20 pandas (Sample A), then select a sample of 300 pandas (Sample B) and calculate the mean weight for each sample, which is likely to give a better estimate of the population mean weight?

a)

Sample A

b)

Sample B

c)

Both will give equally good estimates

d)

Neither will give a good estimate

27.

You are developing a mental exercise which you hope would improve the memory of students taking Psychology. Before the exercise training (treatment), the group's SD was 1.34. After the exercise training (treatment, the group's SD was 4.56. Which of the following is a correct statement about this?

a)

Pre-treat group scores was more diverse

b)

Post-treatment group scores was less diverse

c)

Post-treatment group scores was more diverse

d)

None of the above

28.

Suppose that you in a 30 item quiz, a sample of n=10 got a mean of 23. Because they were all very active in the class, you gave them all added bonus of 2 points. What is now the mean?

a)

23

b)

25

c)

21

d)

46