Find the area of the circle. Use 3.14 for π. d = 10 cm A = [?] cm² A=TCr2
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We have been given that a normal distribution has a mean of 186.4 and a standard deviation of 48.9. We are asked to find the range of value that represents the upper 2.5% of the data.
We know that upper 2.5% of data would be 97.5% of data.
We will use z-score formula to solve our given problem.
, where,
z = z-score,
x = Random sample score,
= Mean,
= Standard deviation.
Now we will use normal distribution table to find z-score corresponding to 97.5% area or 0.975.
We can see from the normal distribution table that z-score corresponding to area 0.975 is .
Let us solve for x.
Therefore, the range represents the upper 2.5% of the data.