on a standardized test with a normal distribution, the mean was 64.3 and the standard deviation was 5.4. what is the best approximation of the percent of scores that fell between 58.9 and 75.1?

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01-12-2022
Mathematics

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on a standardized test with a normal distribution, the mean was 64.3 and the standard deviation was 5.4. what is the best approximation of the percent of scores that fell between 58.9 and 75.1?

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qwarrow qwarrow · Answer 1 · 2022-12-06T00:01:41-05:00

the best approximation of the percent of scores that fell between 58.9 and 75.1 is 4.

The mathematical average of a group of two or more numbers is called the mean. There are two different sorts of means that can be calculated: the arithmetic mean and the geometric mean. The arithmetic mean is calculated by adding all of the numbers in a set and dividing by the total number of integers in the set.

Find the difference between these two figures and the mean, divide it by the standard deviation of 5.4, and you will know how many standard deviations 75.1 and 61.5 are above and below the mean:

(75.1−64.3)/5.4

=2sd

According to the empirical rule, 95% of data are within two standard deviations of the mean.

So, the answer is 4.

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