Answered

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In a standard normal distribution, [tex][tex]$95\%$[/tex][/tex] of the data is within [tex][tex]$\pm$[/tex][/tex] how many standard deviations of the mean?

A. 0
B. 1
C. 2
D. 3

Sagot :

GinnyAnswer
In a standard normal distribution, the empirical rule (also known as the 68-95-99.7 rule) is a key principle that helps us understand the spread of data around the mean. According to the empirical rule:

1. Approximately 68% of the data falls within ±1 standard deviation of the mean.
2. Approximately 95% of the data falls within ±2 standard deviations of the mean.
3. Approximately 99.7% of the data falls within ±3 standard deviations of the mean.

In this case, we are interested in the range where 95% of the data lies within. According to the empirical rule, 95% of the data in a standard normal distribution is within ±2 standard deviations of the mean.

Therefore, the correct answer is 2.
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