The mean is 76 and the standard deviation is 7.
What is mean and standard deviation?
The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.
In mathematics, particularly in statistics, there are various types of means. Each mean summarizes a particular set of data, frequently to help determine the overall significance of a particular data set.
Let, 95% of students in statistics scored between 62 and 90 points.
Here,
Mean = [tex]\frac{62+90}{2} = \frac{152}{2} = 76[/tex]
And the standard deviation is,
SD = [tex]\frac{90-76}{2}= \frac{14}{2} = 7[/tex]
Hence, the mean is 76 and the standard deviation is 7.
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