Question

question 16 ch 2 a sample was randomly taken of the salaries of 20 employees of a large company. the following is a boxplot of the salaries (in thousands of dollars) for this year. based on this boxplot, which of the following statements is true about outliers? the outliers are 28 and 77. there are outliers, but they are not shown in the boxplot. suspected outliers would be less than 6.75, or greater than 92.75, so there are none. suspected outliers would be less than 28, or greater than 77, so there are none. ch 2* what percent of the observations in a distribution are lesser than the first quartile? 25% 50% 75%

Explanation:

Question 1: What percent of the observations in a distribution are lesser than the first - quartile?

Step1: Recall quartile definition

The first - quartile ($Q_1$) divides the bottom 25% of the data from the top 75% of the data.

Step1: Recall outlier rule for box - plots

In a box - plot, outliers are values that are less than $Q_1 - 1.5\times IQR$ or greater than $Q_3+1.5\times IQR$, where $IQR = Q_3 - Q_1$. Typically, if the minimum value of the box - plot is the smallest value in the data set and the maximum value of the box - plot is the largest value in the data set, then any values outside the whiskers of the box - plot are outliers. If the box - plot shows the full range of the data (no points outside the whiskers), suspected outliers would be less than the lower whisker value or greater than the upper whisker value.

Answer:

25%

Question 2: Based on this boxplot, which of the following statements is TRUE about outliers?