Answer:4.55,0.47
Step-by-step explanation:
Given height varies from 3.6 feet to 5.5 feet for 95% student
i.e.
95% data falls in the interval of (\mu -2\sigma ,\mu +2\sigma )
So
-----------(1)
-----------(2)
Solving (1)&(2) we get
Thus mean=4.55
And standard deviation=0.47
The choices b and c are equivalent to .
Step-by-step explanation:
Step 1:
First, we need to bring the fraction to its simplest form. To do so, we divide the numerator and the denominator by the greatest factor.
The greatest factor for 4 and 6 is 2. So we divide it by 2.
So .
Step 2:
Similarly, we need to do the same for all the given four options.
a. , the greatest factor for 2 and 4 is 2. So we divide the fraction by 2.
So .
b. , the greatest common factor for 8 and 12 is 4. So we divide the fraction by 4.
So .
For options c and d, 1 is the greatest factor so they cannot be simplified. They remain as they are.
Step 3:
So options b and c are equal to the simplification of i.e.
.