Asked by Rachel Bormann on Apr 29, 2024
Verified
If a distribution has a mean of 30 and a standard deviation of 5,how many standard deviations is 60 from the mean?
A) 5
B) 6
C) -6
D) 0
Standard Deviations
A measure of the dispersion or spread of a set of values in a dataset, indicating how much the values deviate from the mean.
Deviation
In statistics, it refers to how far a particular data point is from the mean of the data set.
- Determine and explain variations represented by standard deviations from the mean in a normal distribution.
Verified Answer
AL
Amrit LotayMay 05, 2024
Final Answer :
B
Explanation :
To find how many standard deviations 60 is from the mean, we use the formula z = (x - μ) / σ, where z is the number of standard deviations from the mean, x is the value we're interested in (in this case, x = 60), μ is the mean, and σ is the standard deviation. Plugging in the values given, we get z = (60 - 30) / 5 = 6. Therefore, 60 is 6 standard deviations from the mean. The answer is B.
Learning Objectives
- Determine and explain variations represented by standard deviations from the mean in a normal distribution.