the point of Pain by Simmons of a class in a test are normally distributed with a mean of 60 points and a standard deviation of

Question

Fynjy0 [20]

3 years ago

5

the point of Pain by Simmons of a class in a test are normally distributed with a mean of 60 points and a standard deviation of

5 Points about what percent of students have scored between 60 and 65 points

Mathematics

1 answer:

slega [8] · Answer 1 · 2022-03-13T21:01:21+03:00

Answer:

~68.26%

Step-by-step explanation:

If you look at the attatched picture, it has the percentages of the area under the curve, in relation to how many standard deviations away from the mean the two limits are. 60 is one standard deviation below the mean, and 65 is one standard deviation above the mean, so on the diagram, you want to look at the -1 and +1. Find the area between these two by adding the decimals between these two numbers. So, 0.3413 + 0.3413 = 0.6826. So the percentage would be about 68.26%. This diagram is called a normal distribution curve and other diagrams do not necessarily have the same numbers, but the numbers (the decimals under the curve) will be very similar.