Data Analysis and Sufficiency MCQs with Answers

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Data Analysis and Sufficiency Online MCQs with Answers

What is the mean of the following data set: 2, 4, 6, 8, 10?
a) 4
b) 5
c) 6
d) 7

Answer
b) 5

What is the mode of the following data set: 3, 2, 5, 3, 6, 3?
a) 2
b) 3
c) 5
d) 6

Answer
b) 3

What is the range of the following data set: 10, 7, 5, 3, 12?
a) 2
b) 5
c) 9
d) 12

Answer
c) 9

What is the median of the following data set: 4, 7, 2, 9, 5?
a) 2
b) 4
c) 5
d) 7

Answer
c) 5

The interquartile range is a measure of:
a) Central tendency
b) Variation
c) Spread
d) Skewness

Answer
c) Spread

If a dataset has an even number of observations, the median is calculated by:
a) Taking the average of the two middle values
b) Taking the largest value
c) Taking the smallest value
d) Taking the value closest to the mean

Answer
a) Taking the average of the two middle values

The standard deviation measures:
a) The average value of the dataset
b) The spread of the dataset
c) The sum of the dataset
d) The number of observations in the dataset

Answer
b) The spread of the dataset

Which measure of central tendency is affected by outliers?
a) Mean
b) Median
c) Mode
d) Range

Answer
a) Mean

What is the probability of rolling an even number on a fair six-sided die?
a) 1/6
b) 1/3
c) 1/2
d) 2/3

Answer
c) 1/2

In a survey, 80% of respondents preferred chocolate ice cream, 15% preferred vanilla ice cream, and 5% preferred strawberry ice cream. If 200 people participated in the survey, how many preferred vanilla ice cream?
a) 15
b) 20
c) 25
d) 30

Answer
b) 20

The mode of a dataset is the value that:
a) Appears most frequently
b) Appears least frequently
c) Is in the middle of the dataset
d) Is the largest value in the dataset

Answer
a) Appears most frequently

A box plot provides information about:
a) Central tendency
b) Spread
c) Outliers
d) All of the above

Answer
d) All of the above

Which measure of central tendency is not affected by extreme values or outliers?
a) Mean
b) Median
c) Mode
d) Range

Answer
b) Median

A z-score measures:
a) The spread of a dataset
b) The probability of an event occurring
c) The distance of a value from the mean in terms of standard deviations
d) The skewness of a dataset

Answer
c) The distance of a value from the mean in terms of standard deviations

Which of the following statements is true about correlation?
a) Correlation implies causation.
b) Correlation measures the strength of a linear relationship between two variables.
c) Correlation can only be positive.
d) Correlation can only be negative.

Answer
b) Correlation measures the strength of a linear relationship between two variables.

A pie chart is used to represent:
a) Categorical data
b) Numerical data
c) Continuous data
d) Nominal data

Answer
a) Categorical data

What is the difference between an outlier and an influential point?
a) There is no difference; they are the same thing.
b) Outliers have a large impact on the mean, while influential points have a large impact on the correlation.
c) Outliers have a large impact on the correlation, while influential points have a large impact on the mean.
d) Outliers and influential points both refer to extreme values in the dataset.

Answer
b) Outliers have a large impact on the mean, while influential points have a large impact on the correlation.

In statistical hypothesis testing, the p-value represents:
a) The probability of making a Type I error
b) The probability of making a Type II error
c) The strength of the evidence against the null hypothesis
d) The likelihood of the alternative hypothesis being true

Answer
c) The strength of the evidence against the null hypothesis

A scatter plot is used to visualize the relationship between:
a) Two categorical variables
b) Two numerical variables
c) A numerical and a categorical variable
d) A categorical and a continuous variable

Answer
b) Two numerical variables

In a normal distribution, what percentage of data falls within one standard deviation of the mean?
a) 25%
b) 50%
c) 68%
d) 95%

Answer
c) 68%

The coefficient of determination (R-squared) measures:
a) The strength of the relationship between two variables
b) The proportion of the variance in the dependent variable explained by the independent variable(s)
c) The significance of the correlation coefficient
d) The direction of the relationship between two variables

Answer
b) The proportion of the variance in the dependent variable explained by the independent variable(s)

Which measure of central tendency is most appropriate for skewed data?
a) Mean
b) Median
c) Mode
d) Range

Answer
b) Median

In a normal distribution, what percentage of data falls within two standard deviations of the mean?
a) 50%
b) 68%
c) 95%
d) 99.7%

Answer
c) 95%

A data set with a mean of 50 and a standard deviation of 10 is standardized to have a mean of 0 and a standard deviation of 1. This process is known as:
a) Normalization
b) Standardization
c) Z-score transformation
d) Centralization

Answer
c) Z-score transformation

What is the purpose of exploratory data analysis?
a) To test hypotheses
b) To make predictions
c) To summarize data
d) To identify patterns and relationships

Answer
d) To identify patterns and relationships

In a box plot, the box represents:
a) The range of the data
b) The interquartile range
c) The standard deviation
d) The mean

Answer
b) The interquartile range

Which of the following is not a measure of central tendency?
a) Mean
b) Median
c) Mode
d) Variance

Answer
d) Variance

A sample has a standard deviation of 4. If each value in the sample is multiplied by 2, what will be the standard deviation of the new sample?
a) 2
b) 4
c) 8
d) 16

Answer
c) 8

In data analysis, what does it mean for data to be normally distributed?
a) The data is evenly distributed across categories.
b) The data is symmetrical and bell-shaped.
c) The data has no outliers.
d) The data is continuous.

Answer
b) The data is symmetrical and bell-shaped.

In a contingency table, the values in the cells represent:
a) Frequencies
b) Probabilities
c) Standard deviations
d) Correlation coefficients

Answer
a) Frequencies

What is the difference between a population and a sample in data analysis?
a) A population consists of all the individuals or objects of interest, while a sample is a subset of the population.
b) A population refers to numerical data, while a sample refers to categorical data.
c) A population is used for qualitative analysis, while a sample is used for quantitative analysis.
d) A population is always larger than a sample.

Answer
a) A population consists of all the individuals or objects of interest, while a sample is a subset of the population.

A researcher collects data on the heights of individuals and wants to summarize the data using a single value. Which measure of central tendency would be most appropriate?
a) Mean
b) Median
c) Mode
d) Range

Answer
a) Mean

A data set has a skewness of -1. What can be said about the distribution?
a) The distribution is symmetric.
b) The distribution is positively skewed.
c) The distribution is negatively skewed.
d) The distribution is perfectly normal.

Answer
c) The distribution is negatively skewed.

A survey asks respondents to rate a product on a scale from 1 to 5. What type of data is being collected?
a) Categorical data
b) Numerical data
c) Continuous data
d) Ordinal data

Answer
d) Ordinal data

A data set has a kurtosis value of 2. What can be said about the distribution?
a) The distribution is platykurtic.
b) The distribution is mesokurtic.
c) The distribution is leptokurtic.
d) The distribution is perfectly normal.

Answer
c) The distribution is leptokurtic.

A data set has a coefficient of variation (CV) of 0.25. What does this indicate about the data?
a) The data is highly variable.
b) The data is moderately variable.
c) The data is minimally variable.
d) The data cannot be determined from the CV alone.

Answer
b) The data is moderately variable.

Which statistical test is used to determine if there is a significant difference between the means of two independent groups?
a) T-test
b) ANOVA
c) Chi-square test
d) Correlation analysis

Answer
a) T-test

In statistical inference, a Type I error occurs when:
a) The null hypothesis is rejected when it is true.
b) The null hypothesis is accepted when it is false.
c) The alternative hypothesis is rejected when it is true.
d) The alternative hypothesis is accepted when it is false.

Answer
a) The null hypothesis is rejected when it is true.

A data set has a skewness value of 0. What can be said about the distribution?
a) The distribution is symmetric.
b) The distribution is positively skewed.
c) The distribution is negatively skewed.
d) The distribution is perfectly normal.

Answer
a) The distribution is symmetric.

Which statistical test is used to determine if there is a significant association between two categorical variables?
a) T-test
b) ANOVA
c) Chi-square test
d) Correlation analysis

Answer
c) Chi-square test

A scatter plot with points forming a linear pattern indicates:
a) A strong positive correlation
b) A strong negative correlation
c) No correlation
d) A curvilinear relationship

Answer
a) A strong positive correlation

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