Statistics Qualification related questions
What is the measure of central tendency that is most influenced by extreme values?
a) Mean
b) Median
c) Mode
d) Range
Answer: a) Mean
Which of the following is a measure of dispersion in a data set?
a) Mean
b) Variance
c) Median
d) Mode
Answer: b) Variance
What is the probability of rolling a fair six-sided die and getting a 3?
a) 1/6
b) 1/3
c) 1/2
d) 1
Answer: a) 1/6
Which type of probability is based on the relative frequency of an event occurring?
a) Theoretical probability
b) Subjective probability
c) Empirical probability
d) Conditional probability
Answer: c) Empirical probability
In a normal distribution, what percentage of data falls within one standard deviation from the mean?
a) 68%
b) 75%
c) 95%
d) 99%
Answer: a) 68%
What is the formula for calculating the variance of a data set?
a) Sum of squares / Number of values
b) Sum of squares / (Number of values – 1)
c) Square root of the sum of squares
d) Square root of the sum of squares / Number of values
Answer: b) Sum of squares / (Number of values – 1)
Which measure of central tendency is not affected by extreme values?
a) Mean
b) Median
c) Mode
d) All of the above
Answer: b) Median
What is the formula for calculating the coefficient of variation?
a) Standard deviation / Mean
b) Mean / Standard deviation
c) Variance / Mean
d) Mean / Variance
Answer: a) Standard deviation / Mean
What does the term “p-value” represent in hypothesis testing?
a) Probability of rejecting the null hypothesis when it is true
b) Probability of accepting the null hypothesis when it is false
c) Level of significance
d) Confidence interval
Answer: a) Probability of rejecting the null hypothesis when it is true
What is the standard deviation of the numbers 2, 4, 6, 8, 10?
a) 1
b) 2
c) 3
d) 4
Answer: c) 3
Which type of probability is based on personal judgment or experience?
a) Empirical probability
b) Subjective probability
c) Theoretical probability
d) Conditional probability
Answer: b) Subjective probability
In a box plot, what does the “whisker” represent?
a) The median
b) The range of data
c) Outliers
d) The interquartile range
Answer: d) The interquartile range
What is the probability of selecting a red card from a standard deck of 52 cards?
a) 1/2
b) 1/3
c) 1/4
d) 1/13
Answer: d) 1/13
Which type of sampling method involves selecting every nth member of the population?
a) Simple random sampling
b) Systematic sampling
c) Stratified sampling
d) Cluster sampling
Answer: b) Systematic sampling
What is the formula for calculating the range of a data set?
a) Maximum value – Minimum value
b) Sum of values / Number of values
c) Standard deviation / Mean
d) Variance / Mean
Answer: a) Maximum value – Minimum value
Which type of data is categorical and cannot be measured numerically?
a) Continuous data
b) Discrete data
c) Qualitative data
d) Quantitative data
Answer: c) Qualitative data
What is the formula for calculating the mean of a data set?
a) Sum of values / Number of values
b) Sum of squares / Number of values
c) Standard deviation / Mean
d) Variance / Mean
Answer: a) Sum of values / Number of values
In a chi-square test, what does the null hypothesis state?
a) There is no relationship between variables
b) There is a significant relationship between variables
c) The sample mean equals the population mean
d) The sample variance equals the population variance
Answer: a) There is no relationship between variables
What does a confidence interval represent in statistics?
a) The range of values within which a parameter is estimated to lie
b) The probability of an event occurring
c) The level of significance in hypothesis testing
d) The margin of error
Answer: a) The range of values within which a parameter is estimated to lie
Which statistical test is used to determine if there is a significant difference between two independent sample means?
a) Chi-square test
b) T-test
c) ANOVA
d) Z-test
Answer: b) T-test
What is the probability of getting a sum of 7 when rolling two fair six-sided dice?
a) 1/6
b) 1/12
c) 1/9
d) 1/36
Answer: c) 1/9
What does the term “null hypothesis” refer to in statistical hypothesis testing?
a) The hypothesis that there is no significant difference
b) The alternative hypothesis
c) The hypothesis that there is a significant difference
d) The population mean
Answer: a) The hypothesis that there is no significant difference
Which measure of central tendency is used for ordinal data?
a) Mean
b) Median
c) Mode
d) Standard deviation
Answer: b) Median
What is the formula for calculating the probability of an event in a probability distribution?
a) Number of favorable outcomes / Total number of outcomes
b) Number of unfavorable outcomes / Total number of outcomes
c) Sum of probabilities of all outcomes
d) Mean / Standard deviation
Answer: a) Number of favorable outcomes / Total number of outcomes
What is the standard deviation of the numbers 5, 10, 15, 20, 25?
a) 7.5
b) 8.7
c) 10
d) 11.2
Answer: c) 10
Which statistical test is used to compare means of more than two independent groups?
a) Chi-square test
b) T-test
c) ANOVA
d) Z-test
Answer: c) ANOVA
What is the probability of getting a head when flipping a fair coin?
a) 1/2
b) 1/3
c) 1/4
d) 1/6
Answer: a) 1/2
What is the measure of central tendency that is most influenced by extreme values?
a) Mean
b) Median
c) Mode
d) Range
Answer: a) Mean
Which of the following is a measure of dispersion in a data set?
a) Mean
b) Variance
c) Median
d) Mode
Answer: b) Variance
What is the probability of rolling a fair six-sided die and getting a 3?
a) 1/6
b) 1/3
c) 1/2
d) 1
Answer: a) 1/6
Which type of probability is based on the relative frequency of an event occurring?
a) Theoretical probability
b) Subjective probability
c) Empirical probability
d) Conditional probability
Answer: c) Empirical probability
In a normal distribution, what percentage of data falls within one standard deviation from the mean?
a) 68%
b) 75%
c) 95%
d) 99%
Answer: a) 68%
What is the formula for calculating the variance of a data set?
a) Sum of squares / Number of values
b) Sum of squares / (Number of values – 1)
c) Square root of the sum of squares
d) Square root of the sum of squares / Number of values
Answer: b) Sum of squares / (Number of values – 1)
What is the standard deviation of the numbers 2, 4, 6, 8, 10?
a) 1
b) 2
c) 3
d) 4
Answer: c) 3
Which type of data is categorical and cannot be measured numerically?
a) Continuous data
b) Discrete data
c) Qualitative data
d) Quantitative data
Answer: c) Qualitative data
What is the formula for calculating the mean of a data set?
a) Sum of values / Number of values
b) Sum of squares / Number of values
c) Standard deviation / Mean
d) Variance / Mean
Answer: a) Sum of values / Number of values
Which type of sampling method involves selecting every nth member of the population?
a) Simple random sampling
b) Systematic sampling
c) Stratified sampling
d) Cluster sampling
Answer: b) Systematic sampling
What is the probability of selecting a red card from a standard deck of 52 cards?
a) 1/2
b) 1/3
c) 1/4
d) 1/13
Answer: d) 1/13
What is the standard deviation of the numbers 5, 10, 15, 20, 25?
a) 7.5
b) 8.7
c) 10
d) 11.2
Answer: c) 10
Which measure of central tendency is used for ordinal data?
a) Mean
b) Median
c) Mode
d) Standard deviation
Answer: b) Median
What is the formula for calculating the range of a data set?
a) Maximum value – Minimum value
b) Sum of values / Number of values
c) Standard deviation / Mean
d) Variance / Mean
Answer: a) Maximum value – Minimum value
Which statistical test is used to determine if there is a significant difference between two independent sample means?
a) Chi-square test
b) T-test
c) ANOVA
d) Z-test
Answer: b) T-test
What does the term “null hypothesis” refer to in statistical hypothesis testing?
a) The hypothesis that there is no significant difference
b) The alternative hypothesis
c) The hypothesis that there is a significant difference
d) The population mean
Answer: a) The hypothesis that there is no significant difference
Which statistical test is used to compare means of more than two independent groups?
a) Chi-square test
b) T-test
c) ANOVA
d) Z-test
Answer: c) ANOVA
What is the probability of getting a head when flipping a fair coin?
a) 1/2
b) 1/3
c) 1/4
d) 1/6
Answer: a) 1/2
Which measure of central tendency is used for skewed data?
a) Mean
b) Median
c) Mode
d) Standard deviation
Answer: b) Median
What is the formula for calculating the coefficient of variation?
a) Standard deviation / Mean
b) Mean / Standard deviation
c) Variance / Mean
d) Mean / Variance
Answer: a) Standard deviation / Mean
Which type of probability is based on personal judgment or experience?
a) Empirical probability
b) Subjective probability
c) Theoretical probability
d) Conditional probability
Answer: b) Subjective probability
What is a Type I error in hypothesis testing?
a) Rejecting the null hypothesis when it is true
b) Accepting the null hypothesis when it is false
c) Failing to reject the null hypothesis when it is true
d) Failing to accept the null hypothesis when it is false
Answer: a) Rejecting the null hypothesis when it is true
What is the formula for calculating the probability of an event in a probability distribution?
a) Number of favorable outcomes / Total number of outcomes
b) Number of unfavorable outcomes / Total number of outcomes
c) Sum of probabilities of all outcomes
d) Mean / Standard deviation
Answer: a) Number of favorable outcomes / Total number of outcomes
Which type of data is numerical and can be measured on a scale?
a) Categorical data
b) Continuous data
c) Qualitative data
d) Ordinal data
Answer: b) Continuous data
In a box plot, what does the “whisker” represent?
a) The median
b) The range of data
c) Outliers
d) The interquartile range
Answer: d) The interquartile range
What is a Type II error in hypothesis testing?
a) Rejecting the null hypothesis when it is true
b) Accepting the null hypothesis when it is false
c) Failing to reject the null hypothesis when it is true
d) Failing to accept the null hypothesis when it is false
Answer: c) Failing to reject the null hypothesis when it is true
Which type of sampling method involves dividing the population into subgroups and then randomly selecting from each subgroup?
a) Simple random sampling
b) Systematic sampling
c) Stratified sampling
d) Cluster sampling
Answer: c) Stratified sampling
What is the formula for calculating the interquartile range (IQR)?
a) Q1 – Q3
b) Q3 – Q1
c) Q1 + Q3
d) Q3 / Q1
Answer: b) Q3 – Q1
Which measure of central tendency is the most frequently occurring value in a data set?
a) Mean
b) Median
c) Mode
d) Standard deviation
Answer: c) Mode
What is the purpose of the confidence interval in statistics?
a) To estimate the population parameter
b) To prove the null hypothesis
c) To determine the level of significance
d) To calculate the standard error
Answer: a) To estimate the population parameter