By the Empirical Rule in a city of 62000 people the number o

By the Empirical Rule, in a city of 62,000 people, the number of people below the mean by more than 1 standard deviation is: 41,16 9,920 21,080 6,200

Solution

This rule provides a quick rough estimate about the spread of the given data for a normal distribution, when mean standard deviation are given. Empirical rule is used to indicate the virtue of normality for a distribution. If the data falls outside the described When a number of data points fall outside the three standard deviation range
The empirical rule can be mathematically put in the form of following formula:
pr(x+) = 68.27 %

pr(2x+2) = 95.45 %

pr(3x+3) = 99.73 %

In the context of the problem no.of people below the mean by more than 1 standard deviation
i.e pr(x+) = 68.27 % => We know that 100% data is 62000 and from this the required percentage is 68.27%

68.e7 * 62000/100 = 42160