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Statistical Analysis of Data Distribution Quiz

#1

What is the mean of a dataset?

The sum of all values divided by the number of values
Explanation

Average value calculated by adding all values and dividing by the count.

#2

What does a normal distribution curve look like?

A bell-shaped curve
Explanation

Graphical representation with a symmetric, bell-shaped pattern.

#3

What is the purpose of a histogram?

To display the distribution of continuous data
Explanation

Graphical representation showing the frequency distribution of continuous data.

#4

What does the standard deviation measure in a dataset?

The spread of data around the mean
Explanation

Quantifies the extent of data dispersion from the mean.

#5

Which statistical test is used to compare means between two groups?

T-test
Explanation

Assesses if the means of two groups are significantly different.

#6

What does the p-value represent in hypothesis testing?

The probability of observing the data given that the null hypothesis is true
Explanation

Probability of obtaining observed results under the assumption that the null hypothesis is correct.

#7

What is the range of possible values for correlation coefficient?

-1 to 1
Explanation

Correlation strength ranges from perfect negative (-1) to perfect positive (1).

#8

In a positively skewed distribution, where are the majority of values located?

To the right of the mean
Explanation

Most values cluster on the right side, extending the tail to the right.

#9

What is skewness in a distribution?

The measure of how asymmetric the distribution is
Explanation

Indicates the degree of asymmetry in the distribution shape.

#10

What is the Kolmogorov-Smirnov test used for?

Testing normality of a distribution
Explanation

Assesses whether a sample follows a specific distribution.

#11

What does the Shapiro-Wilk test assess?

Normality of data distribution
Explanation

Determines if a sample comes from a normally distributed population.

#12

What is the purpose of the Q-Q plot?

To test the normality of data
Explanation

Graphical tool for assessing if data follows a normal distribution.

#13

What is the purpose of the Anderson-Darling test?

Testing normality of a distribution
Explanation

Statistical test for assessing whether a sample comes from a particular distribution.

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