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Descriptive Statistics

Description: This quiz covers the basic concepts of descriptive statistics, including measures of central tendency, measures of variability, and graphical representations of data.
Number of Questions: 15
Created by:
Tags: statistics descriptive statistics measures of central tendency measures of variability graphical representations
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Which of the following is a measure of central tendency?

  1. Mean

  2. Median

  3. Mode

  4. Range

Show answer
Correct Option: A
Explanation:

The mean is the sum of all values divided by the number of values in a dataset. It is a measure of the average value in a dataset.

Which of the following is a measure of variability?

  1. Mean

  2. Median

  3. Mode

  4. Range

Show answer
Correct Option: D
Explanation:

The range is the difference between the largest and smallest values in a dataset. It is a measure of how spread out the data is.

What is the formula for calculating the mean of a dataset?

  1. Mean = Sum of all values / Number of values

  2. Mean = Median + Mode

  3. Mean = Range / 2

  4. Mean = Sum of all values * Number of values

Show answer
Correct Option: A
Explanation:

The mean is calculated by adding up all the values in a dataset and dividing the sum by the number of values.

What is the formula for calculating the median of a dataset?

  1. Median = Sum of all values / Number of values

  2. Median = Mean + Mode

  3. Median = Range / 2

  4. Median = Middle value of a dataset when assorted in numerical order

Show answer
Correct Option: D
Explanation:

The median is the middle value of a dataset when assorted in numerical order.

What is the formula for calculating the mode of a dataset?

  1. Mode = Sum of all values / Number of values

  2. Mode = Mean + Median

  3. Mode = Range / 2

  4. Mode = Most frequently occurring value in a dataset

Show answer
Correct Option: D
Explanation:

The mode is the most frequently occurring value in a dataset.

Which of the following is a graphical representation of data?

  1. Histogram

  2. Bar chart

  3. Pie chart

  4. Scatter plot

Show answer
Correct Option:
Explanation:

Histograms, bar charts, pie charts, and scatter plots are all graphical representations of data.

What is the purpose of a histogram?

  1. To show the distribution of data

  2. To compare two or more datasets

  3. To show the relationship between two variables

  4. To show the frequency of occurrence of different values in a dataset

Show answer
Correct Option: A
Explanation:

A histogram is a graphical representation of the distribution of data. It shows the frequency of occurrence of different values in a dataset.

What is the purpose of a bar chart?

  1. To show the distribution of data

  2. To compare two or more datasets

  3. To show the relationship between two variables

  4. To show the frequency of occurrence of different values in a dataset

Show answer
Correct Option: B
Explanation:

A bar chart is a graphical representation of two or more datasets. It allows for easy comparison of the datasets.

What is the purpose of a pie chart?

  1. To show the distribution of data

  2. To compare two or more datasets

  3. To show the relationship between two variables

  4. To show the proportion of each category in a dataset

Show answer
Correct Option: D
Explanation:

A pie chart is a graphical representation of the proportion of each category in a dataset.

What is the purpose of a scatter plot?

  1. To show the distribution of data

  2. To compare two or more datasets

  3. To show the relationship between two variables

  4. To show the frequency of occurrence of different values in a dataset

Show answer
Correct Option: C
Explanation:

A scatter plot is a graphical representation of the relationship between two variables. It shows how the values of one variable change in relation to the values of the other variable.

Which of the following is a measure of skewness?

  1. Mean

  2. Median

  3. Mode

  4. Skewness coefficient

Show answer
Correct Option: D
Explanation:

The skewness coefficient is a measure of the asymmetry of a distribution. It can be positive or negative, indicating whether the distribution is skewed to the right or left, respectively.

Which of the following is a measure of kurtosis?

  1. Mean

  2. Median

  3. Mode

  4. Kurtosis coefficient

Show answer
Correct Option: D
Explanation:

The kurtosis coefficient is a measure of the peakedness or flatness of a distribution. It can be positive or negative, indicating whether the distribution is more peaked or flatter than a normal distribution, respectively.

What is the difference between a population and a sample?

  1. A population is a group of all individuals or objects of interest, while a sample is a subset of the population.

  2. A population is a group of all individuals or objects of interest, while a sample is a group of all individuals or objects of interest.

  3. A population is a group of all individuals or objects of interest, while a sample is a group of all individuals or objects of interest.

  4. A population is a group of all individuals or objects of interest, while a sample is a group of all individuals or objects of interest.

Show answer
Correct Option: A
Explanation:

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

What is the purpose of sampling?

  1. To obtain information about a population

  2. To make inferences about a population

  3. To test hypotheses about a population

  4. All of the above

Show answer
Correct Option: D
Explanation:

Sampling is used to obtain information about a population, make inferences about a population, and test hypotheses about a population.

What are the different types of sampling methods?

  1. Probability sampling

  2. Non-probability sampling

  3. Both probability and non-probability sampling

  4. None of the above

Show answer
Correct Option: C
Explanation:

There are two main types of sampling methods: probability sampling and non-probability sampling.

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