Question

question
what do the statistics of mode and mean measure?

select the correct answer below:

○ mode: average sales tax rate. mean: most frequent sales tax rate.
○ mode: most frequent sales tax rate. mean: average sales tax rate.
○ both measure the average of the sales tax rated
○ mode: highest value. mean: lowest value.

Explanation:

To solve this, we recall the definitions of mode and mean. The mode of a set of data is the value that appears most frequently. The mean is the average, calculated by summing all values and dividing by the number of values. Applying this to sales tax rates: mode is the most frequent rate, mean is the average rate. We check the options:

• First option swaps mode and mean definitions, so incorrect.
• Second option matches the definitions (mode: most frequent; mean: average), so correct.
• Third option is wrong as mode and mean measure different aspects (mode is frequency - based, mean is average).
• Fourth option is incorrect as mode is not highest value (that's maximum) and mean is not lowest value (that's minimum).

Answer:

B. Mode: Most frequent sales tax rate. Mean: Average sales tax rate.