Question

describing a distribution displayed in a
the histogram shows the distribution of registered roller
skating rinks per state.
which statements appropriately interpret data from the
histogram? check all that apply.
it is most common for states to have 4 or fewer roller
skating rinks.
the average number of roller skating rinks in a state
is 5.
the median number of roller skating rinks is in the
interval from 10 to 15.
the distribution of roller skating rinks is skewed
right.
there is a clear outlier that has far more roller
skating rinks than all other states.

Explanation:

• First statement: The bar for \(0 - 5\) (assuming the first interval represents \(0 - 5\) rinks) has the highest frequency. So, it is reasonable to say it is most common for states to have \(4\) or fewer (if the interval is \(0 - 4\) or \(0 - 5\) and we consider the lower - end dominance) roller skating rinks.
• Second statement: There is no information about calculating the mean (average) from the histogram (we would need mid - points of intervals and frequency to calculate the mean). So, we cannot say the average is \(5\).
• Third statement: To find the median, we need to know the cumulative frequency. But if we assume the data is ordered, and given the shape of the histogram (higher frequencies on the left), the median is likely in the first interval (not \(10 - 15\)).
• Fourth statement: The tail of the histogram (lower - frequency bars) extends to the right (higher number of rinks). So, the distribution is skewed right.
• Fifth statement: There is no bar that is extremely separated from the rest in terms of the number of rinks (no bar that is far to the right compared to the others in a non - continuous way). So, there is no clear outlier.

Answer:

It is most common for states to have 4 or fewer roller skating rinks; The distribution of roller skating rinks is skewed right.