Concept explainers
To calculate: The variance and standard deviation for the stem-lead plot.
Answer to Problem 3ST
The variance is 51 and standard deviation is 7for the stem-lead plot.
Explanation of Solution
Given information:
Thedistribution in stem-leaf plot is provided below,
Formula used:
For a distribution mean is the arithmetic average of the numbers.
For a distribution, variance is
Square root of variance is the standard deviation that is
Calculation:
Consider the distribution in stem-leaf plot is provided below,
In a stem leaf plot ten’s digit of the number is on left side of vertical line and one’s digit is on the right side.
For a distribution mean is the arithmetic average of the numbers.
Therefore, mean of distribution is 26.
For a distribution, variance is
Therefore, variance is,
Square root of variance is the standard deviation that is
Therefore, standard deviation is,
Thus, the variance is 51 and standard deviation is 7 for the stem-lead plot.
Chapter 15 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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