Descriptive Statistics
Computer Aided
Applied Statistics
Graphs & Diagrams
Probability Distributions
100

Which measure of dispersion is based on the middle 50% of data?

Interquartile range

100

In Excel, which function calculates the mean of a set of numbers?

AVERAGE()

100

The process of using data from a sample to make conclusions about a population is called?

Statistical inference

100

Which chart highlights how often values fall within specific ranges rather than individual points?  

Histogram

100

Which distribution models the number of failures before the first success?

Geometric

200

In a negatively skewed distribution, which of the following is most likely true?

a) Mean < Median < Mode

b) Mode < Median < Mean

c) Mean = Median = Mode

d) Mean > Median > Mode

Mean < Median < Mode

200

The function that calculates standard deviation


STDEV

200

The probability of rejecting the null hypothesis when it is false is known as

Power of the test

200

Which diagram preserves actual data points while also showing distribution shape?

Stem-and-leaf plot

200

Which discrete distribution is often used to model rare events?

Poisson

300

Which measure of central tendency is most appropriate when data are expressed in ratios or rates?

Harmonic mean or Geometric mean depending upon data

300

When programming in R, how can you load an external package not already installed?

install.packages("package_name")

300

Which type of error occurs when the sample overestimates the population parameter due to random chance?

Sampling error

300

Which diagram helps detect unusual observations or gaps in the dataset?

Boxplot

300

Which distribution is symmetric, bell-shaped, but has heavier tails than the normal?

Student’s t-distribution

400

Bowley’s coefficient of skewness is based on which summary values?

Quartiles and median

400

The default data structure for storing tabular data

Dataframe

400

Which problem occurs if the residuals in regression are correlated over time?

Autocorrelation

400

Which graph displays cumulative frequency against upper class boundaries to estimate medians and quartiles?

Ogive or cumulative frequency graph

400

Which distribution models the number of successes in sampling without replacement from a finite population?

Hypergeometric distribution

500

Which descriptive statistic is based on the ratio of the fourth central moment to the square of the variance?

Kurtosis

500

In R, the package most widely used to summarize data is:


dplyr

500

The assumption that residuals have equal variance?

Homoscedasticity

500

Which diagram represents hierarchical data with branches and nodes to show parent-child relationships?

Dendrogram/Tree Diagram

500

In reliability analysis, which distribution is most commonly used to model “time to failure” with varying hazard rates?

Weibull distribution

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