Basic Statistics

Question 1

What is the mean of the numbers 2, 4, 6, 8, and 10?

A) 6
B) 7
C) 8
D) 10

Answer 1

A) 6

Question 2

Which of the following is the median of the numbers 5, 7, 3, 9, and 11?

A) 5
B) 7
C) 9
D) 11

Answer 2

B) 7

Question 3

The mode of a dataset is defined as:

A) The average of a dataset
B) The middle value of a dataset
C) The most frequently occurring value
D) The range of the dataset

Answer 3

C) The most frequently occurring value

Question 4

Which measure of central tendency is most affected by extreme values?

A) Mean
B) Median
C) Mode
D) Range

Answer 4

A) Mean

Question 5

What does the range of a dataset represent?

A) The most frequent value
B) The average value
C) The difference between the highest and lowest values
D) The middle value

Answer 5

C) The difference between the highest and lowest values

Question 6

Which of the following best describes standard deviation?

A) A measure of spread in the data
B) A measure of central tendency
C) The middle value
D) The highest value minus the lowest value

Answer 6

A) A measure of spread in the data

Question 7

If a dataset has values 5, 5, 5, 5, what is its variance?

A) 0
B) 5
C) 10
D) 15

Answer 7

A) 0

Question 8

What is the probability of rolling a 3 on a fair six-sided die?

A) 1/6
B) 1/4
C) 1/5
D) 1/3

Answer 8

A) 1/6

Question 9

In statistics, what does a histogram represent?

A) The spread of data
B) The frequency of data within intervals
C) The average of data points
D) The probability distribution

Answer 9

B) The frequency of data within intervals

Question 10

Which type of data is represented by categories?

A) Quantitative
B) Ordinal
C) Continuous
D) Categorical

Answer 10

D) Categorical

Question 11

In a normal distribution, approximately what percentage of data falls within one standard deviation of the mean?

A) 50%
B) 68%
C) 75%
D) 95%

Answer 11

B) 68%

Question 12

What is the primary purpose of a scatter plot?

A) To show the mean
B) To display frequency distribution
C) To analyze the relationship between two variables
D) To calculate probability

Answer 12

C) To analyze the relationship between two variables

Question 13

Which type of variable represents quantities that can be counted, like the number of students in a class?

A) Discrete
B) Continuous
C) Nominal
D) Ordinal

Answer 13

A) Discrete

Question 14

What type of variable represents data that can take on any value within a range, like height?

A) Discrete
B) Continuous
C) Ordinal
D) Nominal

Answer 14

B) Continuous

Question 15

If the mean of a dataset is 10 and the median is 15, the data is likely:

A) Symmetrical
B) Skewed to the right
C) Skewed to the left
D) Uniform

Answer 15

B) Skewed to the right

Question 16

Which measure of spread is calculated as the difference between the highest and lowest values?

A) Variance
B) Range
C) Mode
D) Standard deviation

Answer 16

B) Range

Question 17

What is the probability of drawing an ace from a standard deck of 52 cards?

A) 1/13
B) 1/26
C) 1/52
D) 4/52

Answer 17

A) 1/13

Question 18

What is the term for a sample that accurately represents the population from which it was drawn?

A) Random sample
B) Biased sample
C) Controlled sample
D) Systematic sample

Answer 18

A) Random sample

Question 19

What type of graph is best for displaying the frequency of categorical data?

A) Histogram
B) Bar chart
C) Scatter plot
D) Line graph

Answer 19

B) Bar chart

Question 20

If two events cannot happen at the same time, they are called:

A) Independent
B) Dependent
C) Mutually exclusive
D) Inclusive

Answer 20

C) Mutually exclusive

Question 21

The median is defined as:

A) The most frequent value
B) The middle value when data is ordered
C) The average of a dataset
D) The difference between highest and lowest values

Answer 21

B) The middle value when data is ordered

Question 22

Which of the following data types is continuous?

A) Age
B) Gender
C) Eye color
D) Number of pets

Answer 22

B) Gender

Question 23

What does a box plot display about a dataset?

A) The mean and range
B) The quartiles and median
C) The mode and variance
D) The probability and standard deviation

Answer 23

B) The quartiles and median

Question 24

What is an outlier in a dataset?

A) A value much higher or lower than the rest
B) The median value
C) The average value
D) The most frequent value

Answer 24

A) A value much higher or lower than the rest

Question 25

Which of the following is a measure of central tendency?

A) Variance
B) Median
C) Mean
D) Mode

Answer 25

C) Mean

Question 26

What is the sum of probabilities for all possible outcomes in a probability distribution?

A) 50%
B) 100%
C) 150%
D) 200%

Answer 26

B) 100%

Question 27

The interquartile range (IQR) is the range of values between:

A) The first and third quartiles
B) The minimum and maximum
C) The median and mean
D) The mode and range

Answer 27

B) The minimum and maximum

Question 28

What is a bar graph typically used to display?

A) Continuous data
B) Categorical data
C) Ordinal data
D) Quantitative data

Answer 28

A) Continuous data

Question 29

Which type of data has meaningful zero points and can be used in calculations?

A) Ordinal
B) Nominal
C) Ratio
D) Interval

Answer 29

C) Ratio

Question 30

The probability of a single event is defined as:

A) The ratio of the number of favorable outcomes to the total outcomes
B) The number of outcomes divided by the sample space
C) The number of favorable outcomes multiplied by total outcomes
D) The chance of observing the outcome

Answer 30

A) The ratio of the number of favorable outcomes to the total outcomes