To plot: The back-to-back stem plot for the data of heights (in inches) of the members in the class to compare male heights with female heights.
The back-to-back stem plot of the collected data is shown below
Concept used:
The back-to-back stem plot is used to display a distribution in the graphical form of stem and leaves to compare two data distributions and study their shape.
Calculation:
The data collected the heights (in inches) for 15 male and 15 female students as shown below
Female | 50 | 50 | 52 | 53 | 54 | 54 | 55 | 55 | 56 | 56 | 57 | 58 | 58 | 62 | 64 |
Male | 55 | 57 | 57 | 58 | 58 | 59 | 59 | 60 | 60 | 61 | 65 | 66 | 71 | 71 | 72 |
The values collected, heights (in inches) of 15 female students range between 50 to 64 inches, and the heights of male students range between 55 to 72 inches. The leaf takes the unit’s place and the digit in ten’s place is written in the stem. For example, the key is
The back-to-back stem and leaf plot for the collected data is shown below
Interpretation:With reference to the back-to-back stem plot, the data is skewed to the right for both heights of male students and also female students. The heights of male students are a little higher when compared to female student’s height. Most of the female student’s heights are in the range of 50 to 64 inches, whereas male student’s heights are in the range of 55 to 72 inches. There are no outliers in the collected data, and it suggests that there are no abnormal heights among the class students.
Chapter 10 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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