140.Q2

What is the primary purpose of measures of variation in statistics?

• To summarize the center or midpoint of a data set

• To identify outliers in the data

• To measure the spread or dispersion of data points

• To calculate the mean of a dataset

Which of the following measures of variation is most influenced by outliers?

• Range

• Variance

• Standard deviation

• Interquartile range

Which measure of variation provides an indication of the average distance between each data point and the mean of the dataset?

• Range

• Variance

• Standard deviation

• Interquartile range

Which of the following measures of variation is not affected by extreme values or outliers?

• Range

• Variance

• Standard deviation

• Interquartile range

Which measure of variation is calculated as the average squared deviation from the mean of the dataset?

• Range

• Variance

• Standard deviation

• Interquartile range

In a dataset with an even number of values, how is the median calculated?

• It is the value at the center of the dataset

• It is the average of the two middle values

• It is the most frequently occurring value

• It is the difference between the largest and smallest values

Which measure of central tendency is not influenced by the number of observations in a dataset?

• Mean

• Median

• Mode

• Range

Which measure of central tendency is least affected by extreme values or outliers?

• Mean

• Median

• Mode

• Range

Which measure of central tendency is affected by the magnitude of values in a dataset?

• Mean

• Median

• Mode

• Range

In a negatively skewed distribution, which measure of central tendency is typically the highest?

• Mean

• Median

• Mode

• Standard Deviation