Question

Laila wants to create a data display to clearly show the Median salary, the highest salary, and the lowest salary of the 685 employees at her company. She is trying to to decide whether she should create a dot plot, a box plot, or a histogram of the salaries.
A sample of the data shown below.



25,745; $26,512; $27,322; 27,750; $29,820; $32,500; 35,448; $52,020; $63,004 185; $87,167

Answer 1

Answer:

Of the three options being considered, the boxplot is the best option to present data in such a way that the median is easily readable from the presented data.

Median = $31,160

Step-by-step explanation:

For any data distribution, the median is the variable that falls at the middle of the distribution when all of the variables are arranged in ascending or descending order.

Manually doing it,

$25,745; $26,512; $27,322; 27,750; $29,820; $32,500; 35,448; $52,020; $63,485; $87,167

There are two numbers in the middle, $29820 and $32500, so, whem this happens, the median is the average of the two numbers in the middle.

Median = (29820+32500)/2 = $31160

- The dot plot is a graph that plots the arbitrary values of all the variables as just for points on a graph with the value of variables on the y-axis and x-axis for the number of the variable. Unless the variables are arranged in ascending or descending order before plotting, it wouldn't be straight forward to obtain the median from this plot. It wouldn't be easy to read the median from the plot at one glance.

- The boxplot plots all the variables together with their range on a straight line and the first & third quartiles serve as borders for the boxplot. All the other variables outside the first and third quartiles are on the whiskers. The median is obviously indicated using a straight line that cuts across the boxplot as shown in the attached image and it can be read immediately from the plot.

Of the three options being considered, this is the best option to present data in such a way that the median is easily readable from the presented data. The boxplot of the distribution is presented in the attached image and it is equal to $31160

- The histogram posts the data with frequency on the y-axis, and the data, grouped into regular intervals on the x-axis. The height of each bar indicates how often that set of variables occurs. This also isn't a method of presenting data to immediately show the median of the distribution at a glance.

Hope this Helps!!!