Unit 1: Distribution Types (Lesson 4)

What is a key characteristic of a symmetric distribution?

• The mean is always greater than the median

• The vertical line of symmetry is at the center, making mean equal to median

• It always has two distinct peaks

• It is always skewed to the right

Which of the following is true about bell-shaped distributions?

• They are always skewed to the right

• They have most data clustered at the extremes

• They have most data clustered near the center with fewer points farther from center

• They have two distinct peaks

Which graphical display provides the most detailed information about the shape of a distribution?

• Box plot

• Histogram

• Dot plot

• All provide the same level of detail

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In a distribution that is skewed to the right, what is the relationship between the mean and median?

• Mean equals median

• Mean is less than median

• Mean is greater than median

• D) There is no consistent relationship

What is true about a uniform distribution?

• It has two distinct peaks

• Data values are evenly distributed throughout the range

• It is always skewed to the right

• The mean is always greater than the median

What can a box plot tell us about a uniform distribution?

• It clearly shows the uniform shape

• It definitively identifies the distribution as uniform

• It shows the two distinct peaks

• It suggests symmetry through even length quarters

Why might measures of center not describe a bimodal distribution well?

• Because bimodal distributions are always highly skewed

• Because most data is clustered in the middle

• Because data may be clustered around two separate values rather than the center

• Because bimodal distributions are always uniform

What is the defining characteristic of a bimodal distribution?

• It is always symmetric

• It has two very common data values seen as distinct peaks

• The mean is always equal to the median

• It is always skewed to the left

Are bimodal distributions always symmetric?

• Yes, by definition

• No, the peaks may not be equally spaced from the middle

• Yes, but only when the mean equals the median

• No, but only when there are outliers