Choosing Measures of Center and Spread in Statistics

What is the main objective of the nine students after graduation?

• To find the average age of the students.

• To determine the central tendency and spread of their salaries.

• To find the median height of the students.

• To calculate the total number of students in the class.

How is the mean salary calculated?

• By finding the middle value of the ordered data.

• By adding all the salaries and dividing by the number of students.

• By finding the most frequently occurring salary.

• By subtracting the lowest salary from the highest salary.

What is the median salary in this data set?

• $60,000

• $56,000

• $76,200

• $50,000

Why is the mean not a good measure of central tendency in this data set?

• Because it is not affected by extreme values.

• Because it is lower than all the data points.

• Because it is skewed by an outlier.

• Because it is the same as the median.

What is the effect of an outlier on the median?

• It makes the median equal to the mean.

• It makes the median higher than the mean.

• It does not affect the median.

• It significantly changes the median.

Which measure of central tendency is more robust in a skewed data set?

• Mean

• Mode

• Median

• Range

How is the standard deviation calculated?

• By finding the difference between the highest and lowest values.

• By taking the square root of the average of squared deviations from the mean.

• By finding the middle value of the ordered data.

• By adding all the values and dividing by the number of data points.

What is the interquartile range?

• The difference between the highest and lowest values.

• The range of the middle 50% of the data.

• The average of all the data points.

• The most frequently occurring value.

Why is the interquartile range more robust in a skewed data set?

• Because it is always higher than the mean.

• Because it includes all the data points.

• Because it is the same as the mean.

• Because it is not affected by extreme values.

Why is the median often used to report salaries and home prices?

• Because it is always higher than the mean.

• Because it is not affected by extreme values.

• Because it is easier to calculate than the mean.

• Because it includes all the data points.