Video 3: Statistics and Data Displays (Lessons 9–11)

What is the definition of a statistic according to the video?

• A) A graph that displays data visually

• B) A quantity that is calculated from sample data as a measure of a distribution

• C) A formula used to predict future outcomes

• D) A method for collecting numerical information

Which of the following pairs correctly identifies measures of center and measures of variability?

• A) Mean and median are measures of variability; MAD and IQR are measures of center

• B) Mean and IQR are measures of center; median and MAD are measures of variability

• C) Mean and median are measures of center; MAD and IQR are measures of variability

• D) MAD and median are measures of center; mean and IQR are measures of variability

How is the median defined in the video?

• A) The sum of all values divided by the number of values

• B) The middle value when data is arranged in order

• C) A measure that divides the data in half so that half of the values are greater and half are less

• D) The most frequently occurring value in a data set

When is the mean most appropriate to use as a measure of center?

• A) When the data has extreme values

• B) When the data has a symmetric distribution

• C) When the data is skewed

• D) When there are very few data points

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Why is the median preferred for skewed distributions?

• A) It is easier to calculate than the mean

• B) It is more resistant to extreme values than the mean

• C) It provides more precise measurements

• D) It works better with technology-based calculations

What is the preferred measure of variability when using the mean as the measure of center?

• A) Standard deviation

• B) Range

• C) Interquartile range (IQR)

• D) Mean absolute deviation (MAD)

In the sea scallop shell example with two dot plots, what did the MAD values indicate?

• A) The first data set had less variability with MAD = 0.94 cm

• B) Both data sets had the same variability

• C) The first data set had greater variability with MAD = 1.18 cm

• D) The second data set had a MAD of 1.18 cm, showing greater variability

In the box plot example of sea scallop shells, what were the IQR values for the two distributions?

• A) 15 cm for both distributions

• B) 14 cm for the first and 10 cm for the second

• C) 10 cm for the first and 14 cm for the second

• D) 15 cm for the first and 10 cm for the second

What is the key difference between how MAD and IQR are calculated?

• A) MAD uses every value in the data set while IQR uses only Q1 and Q3

• B) IQR uses every value while MAD uses only the mean

• C) MAD is calculated manually while IQR requires technology

• D) IQR uses the median while MAD doesn't use any measure of center