Measures of Central Tendency and Dispersion

The video tutorial explains measures of central tendency, including mean, median, and mode. It provides examples of calculating the mean using test scores and discusses the median's resistance to outliers. The mode is explained with examples of uni-modal, bi-modal, and multi-modal data sets. The tutorial concludes by comparing measures of central tendency with measures of dispersion, highlighting how they describe data centrality and spread.

Which of the following is NOT a measure of central tendency?

• Range

• Mode

• Median

• Mean

How is the arithmetic mean calculated?

• By subtracting the smallest value from the largest value

• By finding the middle value in a data set

• By summing all observations and dividing by the number of observations

• By identifying the most frequently occurring value

What is the mean test score of the students with scores 85, 90, 78, 92, and 88?

• 87.0

• 88.2

• 86.6

• 85.4

What happens to the median if there is an even number of data points?

• It is the smallest value

• It remains the same as the mean

• It is the average of the two middle values

• It is the largest value

Why is the median considered resistant to outliers?

• Because it is calculated using all data points

• Because it is the most frequently occurring value

• Because it is not affected by extreme values

• Because it is always the average of all values

What is the mode of the data set: 2, 3, 4, 4, 5, 6, 7?

• 5

• 4

• 3

• 2

If a data set has two modes, what is it called?

• Multimodal

• Unimodal

• Bimodal

• Non-modal

What does a multimodal data set indicate?

• It has one mode

• It has only two modes

• It has no repeating values

• It has multiple values that appear most frequently

What do measures of dispersion describe?

• The most frequently occurring value

• The central point of the data set

• How the data set is spread around the center

• The middle value of the data set

Which of the following is a measure of dispersion?

• Mean

• Median

• Mode

• Standard deviation