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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.

Respuesta :

mreijepatmat
----σ-------σ-------μ------σ------σ--------
    -2σ     -1σ     14    +1σ    +2σ
     -6      -10     14    +18     +22

68% of the data points lie between 10 and 18.

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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