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<h3>Answer: 78.6</h3>
Work Shown:
Multiply across the rows to form a third column. Example: 9*90 = 810 in the first row.
The values in the third column add to 810+1440+1050 = 3300
Divide this over the total number of people which is 9+18+15 = 42
The mean is 3300/42 =78.571 approximately which rounds to 78.6
The value of a data point that is -2 standard deviations from the mean
so, 40.6 to 65.4.
<h3>What is the empirical rule?</h3>According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.
From the empirical rule, we know that for 95% we are in 2 standard deviations of the mean. so:
= 53- 6.2- 6.2
= 40.6
The value of a data point that is -2 standard deviations from the mean
53 + 6.2 + 6.2
= 65.4
Learn more about the empirical rule here:
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