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Answer:
The mean of these statistic is 2.18.
Step-by-step explanation:
According to the chart, from 1986-1996, unintentional drug overdose deaths per 100,000 population began to rise.
The given data set is
2, 1, 2, 2, 1, 2, 2, 3, 3, 3, 3
Formula for mean:
[tex]Mean=\frac{\sum x}{n}[/tex]
Using this formula, the mean of the data is
[tex]Mean=\frac{2+1+2+2+1+2+2+3+3+3+3}{11}[/tex]
[tex]Mean=\frac{24}{11}[/tex]
[tex]Mean=2.181818[/tex]
[tex]Mean\approx 2.18[/tex]
Therefore the mean of these statistic is 2.18.
The mean of these statistics is [tex]\large{\boxed{\bold{2.18}}[/tex]
Further explanation
Statistics is a study of a collection, preparation, analysis,presentation/conclusions from some data
Data is a collection of information presented in the form of numbers
Data collection can be done through a sample that represents all data (can be called a population) that is used as research
Data information can be stated in tables, diagrams or graphs
- Tables are usually in the form of frequency tables that show the frequency distribution of data
- Diagrams can be in the form of bar charts, pie charts, line charts or pictograms
The average value or mean is a measure to provide an overview of a set of data
Mean is the average of a number of data
To determine the mean: the sum of all data divided by the amount of data
General formula
[tex]\large{\boxed{\bold{mean=\frac{\sum_{xi}}{n} }}}[/tex]
xi = data
n = amount of data
The numbers for each year for unintentional drug overdose deaths per 100,000 population are: 2, 1, 2, 2, 1, 2, 2, 3, 3, 3, 3
Total amount of data:
[tex]\displaystyle 2+1+2+2+1+2+2+3+3+3+3=\large{\boxed{24}[/tex]
Amount of data: [tex]\large{\boxed{11}}[/tex]
So the mean value:
[tex]\displaystyle mean=\frac{\sum_{xi}}{n}=\frac{24}{11}=\large{\boxed{\bold{2.18}}}[/tex]
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Keywords: mean, statistics, data
