To find:
The mean,
Answer to Problem 14E
Solution:
The mean temperature is
Explanation of Solution
Given information:
The given data set is,
High Temperatures for Cities in the Southeast
Stem | Leaves |
7 7 8 8 9 9 |
7 9 2 3 4 5 5 7 8 8 9 9 0 0 1 1 2 2 3 5 |
Procedure:
A stem leaf plot is combination of two columns. Last significant digit of each data should be placed in the column of leaves and others digit in the column of stem. Each stem should be listed in numerical order and each leaf should be placed next to its stem.
Definition
Mean is the average of the given data set.
Median is the mid value of ordered data set.
Mode is the most frequently occurred value in the ordered data set.
If all the data values occur only once, then the data set has no mode. If only one value occurs most often, then the data set is unimodal. If exactly two values occur equally often, then the data set is bimodal. If more than two values occur equally often, then the data set is multimodal.
Following is the set of data corresponding to the given stem and leaf plot.
Formula used:
The formula to calculate the mean of set of data is,
Where,
Calculation:
Substitute
Here number of data in the given data set is 20, substitute 20 for
Mean temperature is
Formula used:
The formula to calculate the median of set of ordered data is,
Calculation:
Here given set of data is,
The data is already an ordered data.
Number of values in data set is 20, it is even.
Substitute 20 for
Simplify further,
The median temperature is
The most frequently occurred data is the mode.
Here, each of the data 85, 88, 89, 90, 91, 92 occur 2 times.
Modes of the given data set are
6 data occur most often, so the data set is multimodal.
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Chapter 3 Solutions
Beginning Statistics
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