Which statement is true of normally distributed data ? ? a. approximately 68% of the data falls within 2 standard deviations (+-2) of the mean b. approximately 68% of the data falls within 1 standard deviation (+-1) of the mean c. approximately 75% of the data falls within 2 standard deviations (+-2) of the mean d. approximately 75% of the data falls within 1 standard deviation (+-1) of the mean

The correct option is b. approximately 68% of the data falls within 1 standard deviation (+-1) of the mean

Explanation:

According to the empirical rule of normal distribution:

1. Approximately 68% of the data falls within 1 standard deviation of the mean

2. Approximately 95% of the data falls within 2 standard deviations of the mean

3. Approximately 99.7% of the data falls within 3 standard deviations of the mean.

Therefore, among the given options, only option b adheres to the empirical rule of the normal distribution. Therefore, the option b is correct

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

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step-by-step explanation:

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