Chapter 12, Problem 118CUR

To determine

To draw stem and leaf plot, a histogram and a box and whisker plot with the given data.

Answer to Problem 118CUR

The given 3 diagrams are the required diagrams of the data.

Explanation of Solution

Given is the data

Graph: Stem and Leaf plot

  

Interpretation of the graph: In the above graph , the data is spread and written in this way to make it more presentable. There are total 10 numbers, It helps in visualizing it better.

Graph: Histogram

  

Interpretation of the graph: The data starts from 4 in the histogram from the x-axis.The first bar in the histogram shows 2 values because between 4 and 12 there are only two values 4 and 8, inclusive of 4. In second bar, the value is again 2, because from 12-20 there are two values 12 and 16 and so on.

Graph: Box and whisker plot

  

To plot box and whisker, median, quartile 1 , quartile 3 , lower value and higher value is required.

To find median, Arrange the data in Ascending or Descending order.

Find the mean of two middle values if number of observation is even, else the middle value of the data will be the median

Calculation:

Arrange in ascending order 4,8,12,16,18,20,24,28,28,36

  =(18+20)/2

  =19

Q1= Median of 4,8,12,16,18= 12

Q3= Median of 20,24,28,28,36= 28

Lower value = 4

Higher value= 36

Interpretation of the graph: In the graph, the middle line at 19 shows the median, On the left, Q1 and Lower value is represented and on the Right Q3 and higher value is represented.