Answer :
16% of students use the internet for longer than 402 minutes per day.
What is meant by Standard Deviation?
Standard Deviation: A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out. Consider the data set: 2, 1, 3, 2, 4. The mean and the sum of squares of deviations of the observations from the mean will be 2.4 and 5.2, respectively. Thus, the standard deviation will be √(5.2/5) = 1.01.
The majority of people (68%) are within one standard deviation of the mean.
The median is within two standard deviations of 95% of the population.
The median and three standard deviations are shared by 99.7% of the population.
The percentage will be shown as follows:
P(X > 402) = P(X > 30 + 1 × 102)
= (1-0.68) / 2
= 0.32/2
= 16%
16% of students use the internet for longer than 402 minutes per day.
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