Question

the following histogram summarizes the ages of the 25 employees who work for elons company. here is the five - number summary for these data: five - number summary min q1 median q3 max 13 31 38 42 62 according to the 1.5·iqr rule for outliers, how many high outliers are there in the data set?

Explanation:

Step1: Calculate IQR

IQR = $Q_3 - Q_1$. Given $Q_1 = 31$ and $Q_3 = 42$, so IQR=$42 - 31=11$.

Step2: Calculate upper - fence

The upper - fence for outliers is given by $Q_3+1.5\times IQR$. Substitute $Q_3 = 42$ and IQR = 11 into the formula: $42+1.5\times11=42 + 16.5=58.5$.

Step3: Count high outliers

The maximum value in the data is 62. Since 62>58.5, there is 1 high outlier.

Answer:

1