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Advance Statistics Diagnostic Test

Total questions: 40

Worksheet time: 20mins

Name
Class
Date
1.

Which of the following are the three most common measures of central location?

a)

Mean, median and mode

b)

Average, variance and standard deviation

c)

Mode, sample mean, and sample variance

d)

Mean, median, and average

2.

If a value represents the 95th percentile, this means:

a)

95% of all values are below this point

b)

95% of all values are above this point

c)

95% of the time you will observe this value

d)

there is a 5% chance that this value is incorrect

e)

none of the above

3.

The mode is best described as:

a)

the middle observation

b)

the same as the average

c)

the 50th percentile

d)

the most frequently occurring value

4.

The median can also be described as:

a)

the middle observation when the data is arranged in ascending order

b)

the second quartile

c)

the 50th percentile

d)

all of the above

e)

none of the above

5.

What is the median of the following set of scores?

18, 6, 12, 10, 14 ?

a)

10

b)

14

c)

18

d)

12

6.

The most frequently occurring number in a set of values is called the ____.

a)

Mean

b)

Median

c)

Mode

d)

Range

7.

As a general rule, the _______ is the best measure of central tendency because it is more

a)

Mean

b)

Median

c)

Mode

d)

Range

8.

The ______ is the value you calculate when you want the arithmetic average.

a)

Mean

b)

Median

c)

Mode

d)

All of the above

9.

Which of the following is NOT a common measure of central tendency?

a)

Mode

b)

Range

c)

Median

d)

Mean

10.

What is the median of this set of numbers: 4, 6, 7, 9, 2000000?

a)

7.5

b)

6

c)

7

d)

4

11.

50% of 3.5 is

a)

0.175

b)

1.75

c)

10

d)

15

12.

A coin is tossed twice. Then the number of outcomes is

a)

2

b)

3

c)

4

d)

8

13.

If there are 2 boys and 3 girls, what is the probability of selecting a boy?

a)

2/5

b)

3/5

c)

4/5

d)

5/5

14.

The mean of 5, 6, 7 is

a)

3

b)

5

c)

6

d)

7

15.

If n! = 1*2***n, compute 5!

a)

6

b)

24

c)

120

d)

360

16.

The mean is a measure of central location.

a)

True

b)

False

17.

In a negatively skewed distribution, the mean is larger than the median and the median is larger than the mode

a)

True

b)

False

18.

In a positively skewed distribution, the mean is smaller than the median and the median is smaller than the mode.

a)

True

b)

False

19.

The value of the standard deviation always exceeds that of the variance.

a)

True

b)

False

20.

The median is one of the most frequently used measures of variability

a)

True

b)

False

21.

A data sample has a mode 0f 140, a median of 130, and a mean of 120. The distribution of the data is positively skewed.

a)

True

b)

False

22.

A student scores 85, 75, and 80 on three exams during the semester and 90 on the final exam. If the final is weighted double and the three others weighted equally, the student's final average would be 80.

a)

True

b)

False

23.

The value of the mean times the number of observations equals the sum of all of the data values

a)

True

b)

False

24.

There are four quartiles that divide the values in a data set into four equal parts

a)

True

b)

False

25.

The number of scores on each side of the median must be equal.

a)

True

b)

False

26.

The role of inferential statistics is to help understand the characteristics of the sample.

a)

True

b)

False

27.

A line chart is also called a scatter plot.

a)

True

b)

False

28.

Which of the following is a qualitative variable?

a)

annual salary

b)

age

c)

weight

d)

number of siblings

e)

eye colour

29.

GPA is a ___ variable.

a)

Qualitative

b)

Quantitative

30.

Inferential statistics transforms information into knowledge.

a)

True

b)

False

31.

A pie chart shows the number of observations in each class.

a)

True

b)

False

32.

Bar charts and pie charts are commonly used to describe categorical data.

a)

True

b)

False

33.

1. Which of the following is a nonterminating repeating decimal?

a)

1/2

b)

1/3

c)

1/4

d)

3/4

34.

The median is ______.

a)

The middle point

b)

The highest number

c)

The average

d)

Affected by extreme scores

35.

The number of scores on each side of the median must be equal.

a)

True

b)

False

36.

Statistics is a set of qualitative data or facts.

a)

singular

b)

plural

c)

general

d)

fundamental

37.

Scope of statistics in which the test scores of students are evaluated using statistical tools to determine if they pass or fail in an examination.

a)

psychology

b)

sociology

c)

economics

d)

education

38.

Scope of statistics in which the scores of an individual in different kinds of test such as personality test, aptitude tests, intelligence test, etc. are analyzed and interpreted to understand a person better.

a)

psychology

b)

sociology

c)

education

d)

chemistry

39.

Statistics is a branch of mathematics which deals with the systematic collection, tabulation, presentation, analysis, and interpretation of quantitative data.

a)

fundamental

b)

general

c)

singular

d)

plural

40.

Statistics refers to those procedures and techniques used in the collection, tabulation, presentation, analysis, and interpretation of quantitative data.

a)

singular

b)

fundamental

c)

general

d)

plural