Understanding Measures of Center

What is the primary purpose of using measures of center in data analysis?

• To find the highest value in a data set

• To calculate the total sum of the data set

• To describe a typical value for the data set

• To eliminate outliers from the data set

How do you calculate the mean of a data set?

• By finding the middle value

• By subtracting the smallest value from the largest value

• By identifying the most frequent value

• By dividing the sum of all values by the number of values

What is the mean of the following data set: 82, 90, 125?

• 107

• 105

• 99

• 103

What defines an outlier in a data set?

• A value that is significantly higher or lower than the rest

• A value that is exactly in the middle

• A value that is the sum of all other values

• A value that is repeated most often

How does an outlier affect the mean of a data set?

• It always decreases the mean

• It always increases the mean

• It can increase or decrease the mean significantly

• It has no effect on the mean

What is the median of a data set?

• The value exactly in the middle when ordered

• The most frequently occurring value

• The lowest value in the data set

• The highest value in the data set

How do you find the median in a data set with an even number of values?

• Select the first value

• Average the two middle values

• Choose the lowest value

• Choose the highest value

What is the mode of a data set?

• The value that appears most frequently

• The middle value when ordered

• The difference between the highest and lowest values

• The average of all values

Can a data set have more than one mode?

• Yes, if all values are the same

• No, it can only have a mode if all values are different

• Yes, if multiple values appear with the same highest frequency

• No, it can only have one mode

Which measure of center can be used for non-numeric data?

• Median

• None of the above

• Mean

• Mode