SOLUTION: The data represented by the graph is normally distributed and adheres to the 68-95-99.7 rule. The standard deviation of this data is ?, and ?% of the data is either less than 4.2

Algebra ->  Probability-and-statistics -> SOLUTION: The data represented by the graph is normally distributed and adheres to the 68-95-99.7 rule. The standard deviation of this data is ?, and ?% of the data is either less than 4.2      Log On


   

Question 1176663: The data represented by the graph is normally distributed and adheres to the 68-95-99.7 rule. The standard deviation of this data is
?, and ?% of the data is either less than 4.2 or more than 11.4.
options for first question mark:
a.11.4
b.7.8
c.3.6
d.1.8
options for second question mark:
a.95%
b.34%
c.5%
d.0.15%
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi

the 68-95-99.7 rule:
one  standard deviation from the mean accounts for about 68.2% of the set 
two standard deviations from the mean account for about 95.4%
and three standard deviations from the mean account for about 99.7%.

?, and ?% of the data is either less than 4.2 or more than 11.4.
  (11.4-4.2)/4 = 1.8 SD
 Between 4.2 and 11.4 account for 95%  (Each are 2 SD from mean of 7.8)
0r
 5% of the data is either less than 4.2 or more than 11.4. 

The standard deviation of this data is 1.8, and 5% of the data 
is either less than 4.2 or more than 11.4.

Wish You the Best in your Studies.