17 Questions
Which measure of central tendency is used when the distribution contains extreme values?
Median
What is the primary purpose of using the mean as a measure of central tendency?
To include all the given values in the computation
When is the median the most appropriate measure of central tendency to use?
When the data is ordinal or ranked
What is the formula for calculating the median of an even number of values?
The average of the two middle values
Which measure of central tendency is most affected by extreme values in a distribution?
Mean
Which measure of central tendency is used when the goal is to find the most frequently occurring value in a dataset?
Mode
Which of the following measures describes the spread of a data set around the central value?
Standard deviation
If the range of a data set is small, what can be inferred about the variation?
The data points are closely clustered around the mean.
Which measure of variation is most affected by outliers?
Variance
If the standard deviation of a data set is zero, what can be concluded?
All data points are equal to the mean.
Which measure of variation is most appropriate for comparing the spread of two data sets with different units?
Coefficient of variation
What is the relationship between the mean deviation and the standard deviation?
The mean deviation is always less than the standard deviation.
What is the most reliable and sensitive measure of central tendency?
Mean
What is the formula for calculating the simple mean?
$\bar{x} = \frac{\sum{x}}{n}$
What is the difference between the simple mean and the weighted mean?
The simple mean is calculated by adding all the values and dividing by the number of values, while the weighted mean is calculated by multiplying each value by its weight and then dividing by the sum of the weights.
Which of the following is not a common measure of central tendency?
Standard deviation
If the scores of 15 students in a 25-item test are 15, 18, 17, 16, 19, 21, 18, 23, 24, 18, 16, 17, 20, 21, and 19, what is the mean score of the students?
18.80
Learn about the concept of measures of central tendency, focusing specifically on the mean. Explore how mean is calculated, its significance, and its application to ungrouped data.
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