Question

The histogram shows the speeds of downhill skiers during a competition. Estimate the mean of the data set displayed in the histogram. If necessary, round your answer to the nearest tenth.

Answer 1

≈50.6

Explanation:

Not sure what precision level this problem is looking for, but for right-skewed distributions, we know that the mean is going to be pulled right and therefore the mean should be larger than the median. To a high confidence level, the mean should fall between 50 and 59, or in the third column.

If a single estimation is wanted, assume the values inside each column are uniformly distributed:

`\displaystyle\\\widehat{\mu}=(34.5\cdot 4+...+74.5\cdot 2)/(4+9+4+4+2)\approx \boxed{50.6}`