Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14
?
68% of the data points lie between 10 and 14.
68% of the data points lie between 8 and 12.
68% of the data points lie between 10 and 18.
68% of the data points lie between 10 and 16.
68% of the data points lie between 10 and 14.
68% of the data points lie between 8 and 12.
68% of the data points lie between 10 and 18.
68% of the data points lie between 10 and 16.
2 answers:
Answer with explanation:
Standard Deviation of Data Set = 4
Mean of Data Set = 14
Normal Distribution curve is a bell Shaped curve ,described by mean and Standard Deviation.It is Symmetrical on both sides of mean, and Spread between two points is determined by Standard Deviation.
Option D:
68% of the data points lie between 10 and 18.
Points on left of mean =14-4=10,6,2
point on right of mean = 14 +4=18,22,26
That is , we can say that 68% of the data lie within 1 Standard Deviation.
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Thus, option (B) is correct
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Thus, option (C) is the correct option.
Thus, option (B) is the correct option.
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