Understanding Measures of Central Tendency

What is the primary purpose of measures of central tendency?

• To describe the spread of scores in a data set

• To describe the central or typical value of a data set

• To identify the highest and lowest scores in a data set

• To calculate the frequency of each score in a data set

Which measure of central tendency is most sensitive to extreme scores (outliers)?

• Mean

• Median

• Mode

• Range

How is the median calculated in a data set?

• By finding the average of all scores

• By identifying the most frequently occurring score

• By arranging the data in numerical order and finding the middle value

• By subtracting the lowest score from the highest score

Which measure of central tendency is best used when dealing with qualitative data?

• Mean

• Median

• Mode

• Standard deviation

What is a limitation of using the mode as a measure of central tendency?

• It is affected by extreme scores

• It may not represent a typical average

• It can be time-consuming to calculate

• It may include two or more modes, blurring the data's meaning

What does a low standard deviation indicate about a data set?

• The scores are spread out from the mean

• The scores are clustered tightly around the mean

• The data set is unreliable

• The data set has a high range

How is the range of a data set calculated?

• By finding the average of all scores

• By identifying the most frequently occurring score

• By subtracting the lowest score from the highest score

• By arranging the data in numerical order and finding the middle value

Which measure of dispersion is more sensitive and valid than the range?

• Mean

• Median

• Mode

• Standard deviation

What is a limitation of using the standard deviation as a measure of dispersion?

• It is simple and easy to calculate

• It can be skewed by extreme outliers

• It provides no information about the spread of scores

• It is not affected by extreme values

Which measure of central tendency is most likely to provide a representative score?

• Mean

• Median

• Mode

• Range