If the scores of a math test are normally distributed with an average score of 76 and a standard deviation of 5, what percentage of students scored below a 65?

Step-by-step explanation:

Since the scores of the math test are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = math test scores.

µ = mean score

σ = standard deviation

From the information given,

µ = 76

σ = 5

The probability that a student scored below 65 is expressed as

P(x < 65)

For x = 65

z = (65 - 76)/5 = - 2.2

Looking at the normal distribution table, the probability corresponding to the z score is 0.014

The percentage of students that scored below 65 is

0.014 × 100 = 1.4%

step-by-step explanation:

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )