Question

1. The average grade in a quiz was 20.0, with a standard deviation of 4.0
The grades follow the normal distribution. 9 Marks
a. Compute the value for a grade of 25.0,​

Answer 1

The z value for a grade of 25.0 is 1.25

Step-by-step explanation:

Given:

Mean μ = 20

Standard Deviation σ = 4

To find out:

The z value for a grade of 25

Solution:

We know that Z value for x is given by

$Z=\frac{x-\mu}{\sigma}$

Thus, Z value for x = 25

$Z=\farc{25-20}{4}$

$\implies Z=\frac{5}{4}$

$\implies Z=1.25$

Hope this answer is helpful.

Know More:

Q: The height measurements of 600 adult males are arranged in ascending order and it is observed that 180th and 450th entries are 46.3 and 67.8 inch respectively. If the measurements are normally distributed.

i. Find the mean and the standard deviation of the distribution.

ii. Find the number of males whose height is between 40 and 70 inches.

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