Understanding Mean and Median

This video tutorial explains the concepts of mean and median as measures of central tendency. It demonstrates how to calculate both using a data set of money spent by couples at a restaurant. The video also discusses how skewness in data can affect these measures, with examples of positively and negatively skewed distributions. A dot plot is used to illustrate the impact of outliers on mean and median. The tutorial concludes by advising when to use mean or median based on data characteristics and encourages examining graphs for skewness.

What is the mean of the data set if the total sum is $625 and there are 10 values?

• $60.00

• $62.50

• $70.00

• $65.00

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

• Choose the middle value

• Average the two middle values

• Choose the highest value

• Choose the lowest value

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In a positively skewed distribution, how does the mean compare to the median?

• The mean is greater than the median

• The mean is less than the median

• The mean is equal to the median

• The mean is not affected by skewness

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In a negatively skewed distribution, where does the median lie in relation to the mean?

• The median is less than the mean

• The median is equal to the mean

• The median is greater than the mean

• The median is not affected by skewness

What effect does a large outlier have on the mean?

• It decreases the mean

• It makes the mean equal to the median

• It has no effect on the mean

• It increases the mean

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Why is the median considered less sensitive to outliers than the mean?

• Because it is calculated using only the middle values

• Because it uses all values in the data set

• Because it is always higher than the mean

• Because it is always lower than the mean

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What is the primary reason for using the mean as a measure of central tendency?

• It is easier to calculate

• It is always equal to the median

• It uses all values in the data set

• It is less affected by outliers

What is a key visual tool to identify skewness in a data set?

• Bar chart

• Pie chart

• Line graph

• Dot plot

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

• Mean

• Median

• Mode

• Range

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What should you consider when analyzing data to understand its distribution?

• Only the median

• Only a graph

• Only the mean

• Both mean and median, and a graph

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