Concept explainers
To calculate: The mode, median and mean for the stem-lead plot.
Answer to Problem 1ST
The mode is 28 median is 27 and mean 26for the stem-lead plot.
Explanation of Solution
Given information:
Thedistribution in stem-leaf plot is provided below,
Formula used:
For a distribution mode is the most frequently occurred number.
For a distribution median is the middle value of the number.
For a distribution mean is the arithmetic average of the numbers.
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 mode is the most frequently occurred number.
Therefore, mode of the distribution is 28.
For a distribution median is the middle value of the number.
There are 18 number, so median is average of
That is average of 26 and 28.
Therefore, median of distribution is 27.
For a distribution mean is the arithmetic average of the numbers.
Therefore, mean of distribution is 26.
Thus, the mode is 28 median is 27 and mean 26 for the stem-lead plot.
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