angeliquesamuel7761 angeliquesamuel7761

28-10-2022
Mathematics

Answered

according to the empirical rule, what percent of the data should be between 422 and 1342 for a population with mean of 882 and standard deviation of 230? a) 95.44% b) 47.72% c) 68.26% d) 99.74%

Answer :

pannurekha166 pannurekha166

03-11-2022

The percentage of data should be between 422-1342 is Option A - 95.44%

Firstly 68% of the data falls within 1 standard deviation of the mean:

Here is how we calculate,

[tex]882-230 = 652[/tex]

[tex]882+230 = 1112[/tex]

The range of numbers is 652 to 1112

Secondly 95% of the data falls within 2 standard deviations of the mean:

Here is how we calculate,

[tex]882 - (2 * 230) = 422[/tex]

[tex]882 + (2 * 230) = 1342[/tex]

The range of numbers is 422 to 1342

Thirdly 99.7% of the data falls within 3 standard deviations of the mean:

Here is how we calculate,

[tex]882 - (3 * 230) = 192\\882 + (3 * 230) = 1,572[/tex]

The range of numbers is 192 - 1572

So according to the option the data should be between 422 - 1342 for the population is 95.44%

Learn more about standard deviation here:

https://brainly.com/question/14607497

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