Educational Statistics: Descriptive Statistics

Description: This quiz covers the fundamental concepts and techniques of descriptive statistics in the context of educational research.
Number of Questions: 15
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Tags: education educational statistics descriptive statistics
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Which measure of central tendency is most sensitive to outliers?

  1. Mean

  2. Median

  3. Mode


Correct Option: A
Explanation:

The mean is easily affected by extreme values, making it more sensitive to outliers compared to the median and mode.

The range of a dataset is calculated by:

  1. Maximum value - Minimum value

  2. Maximum value + Minimum value

  3. Mean - Median


Correct Option: A
Explanation:

The range is the difference between the maximum and minimum values in a dataset.

Which measure of variability is based on the sum of squared deviations from the mean?

  1. Range

  2. Variance

  3. Standard Deviation


Correct Option: B
Explanation:

Variance is the sum of squared deviations from the mean divided by the number of observations.

The coefficient of variation (CV) is calculated as:

  1. Standard deviation / Mean

  2. Mean / Standard deviation

  3. Range / Mean


Correct Option: A
Explanation:

The coefficient of variation is a measure of relative variability, calculated by dividing the standard deviation by the mean.

Which graphical representation is used to display the frequency distribution of a dataset?

  1. Histogram

  2. Scatterplot

  3. Pie chart


Correct Option: A
Explanation:

A histogram is a graphical representation that shows the frequency distribution of data by dividing the range of values into bins and displaying the number of observations in each bin.

The cumulative frequency distribution shows:

  1. The frequency of each value in a dataset

  2. The total frequency up to a given value

  3. The difference between the frequencies of two values


Correct Option: B
Explanation:

The cumulative frequency distribution shows the total frequency of observations up to and including a given value.

The mode of a dataset is:

  1. The value that occurs most frequently

  2. The middle value when the data is arranged in ascending order

  3. The sum of all values divided by the number of observations


Correct Option: A
Explanation:

The mode is the value that appears most frequently in a dataset.

The median of a dataset is:

  1. The middle value when the data is arranged in ascending order

  2. The average of the two middle values when the data is arranged in ascending order

  3. The value that occurs most frequently


Correct Option: A
Explanation:

The median is the middle value when the data is arranged in ascending order. If there are an even number of observations, the median is the average of the two middle values.

The quartiles of a dataset divide the data into:

  1. Two equal parts

  2. Three equal parts

  3. Four equal parts


Correct Option: C
Explanation:

The quartiles divide the data into four equal parts: the first quartile (Q1), the second quartile (Q2 or median), the third quartile (Q3), and the fourth quartile (Q4).

Which measure of variability is based on the average absolute deviation from the mean?

  1. Range

  2. Variance

  3. Mean Absolute Deviation


Correct Option: C
Explanation:

Mean Absolute Deviation (MAD) is the average of the absolute deviations from the mean.

The interquartile range (IQR) is calculated as:

  1. Q3 - Q1

  2. Q3 + Q1

  3. Q2 - Q1


Correct Option: A
Explanation:

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1).

Which measure of central tendency is least affected by outliers?

  1. Mean

  2. Median

  3. Mode


Correct Option: B
Explanation:

The median is less affected by outliers compared to the mean and mode because it is based on the middle value of the dataset.

The standard deviation is a measure of:

  1. Central tendency

  2. Variability

  3. Skewness


Correct Option: B
Explanation:

The standard deviation is a measure of variability, indicating how spread out the data is around the mean.

A normal distribution is characterized by:

  1. Symmetry around the mean

  2. Bell-shaped curve

  3. Both symmetry and bell-shaped curve


Correct Option: C
Explanation:

A normal distribution is characterized by both symmetry around the mean and a bell-shaped curve.

The empirical rule states that, in a normal distribution, approximately what percentage of data falls within one standard deviation of the mean?

  1. 68%

  2. 95%

  3. 99.7%


Correct Option: A
Explanation:

The empirical rule states that, in a normal distribution, approximately 68% of data falls within one standard deviation of the mean.

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