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Mr. Z gave a test in Physics. Scores for the class are as follows: 76, 55, 73, 93, 29, 74, 57, 34, 54, and 75 out of a possible 100 points. Assume scores from this test are normally distributed.

 

If this set of scores is representative of all Physics classes Mr. Z has (in other words, with the same mean and same standard deviation), on average what percent of students pass this test? (Passing is 60% minimum.) Use technology or Standard Normal table to find probabilities and show all your reasoning to answer the question. List z-score and percent probability to 2 decimal places or decimal probability to 4 decimal places

Guest Apr 28, 2018
 #1
avatar+963 
+1

Once again, I do not understand the method you are asking me to solve the problem with. 

 

Here is my method. 

 

Since the problem is asking for the percentage of students that pass edthe test, we first need to know how many students actually did passed the test. 

 

We need to find all the numbers above 60, from this list 76, 55, 73, 93, 29, 74, 57, 34, 54.

 

We have 76, 73, 93, and 74, the rest are all below 60.

 

Since there are a total of 9 students, and only 4 passed the test. 

 

The percentage of students that passed the test is 4/9, or \(0.4\overline4%\)%

 

I hope this helped,

 

Gavin.

GYanggg  Apr 28, 2018
 #2
avatar+27128 
+2

"Mr. Z gave a test in Physics. Scores for the class are as follows: 76, 55, 73, 93, 29, 74, 57, 34, 54, and 75 out of a possible 100 points. Assume scores from this test are normally distributed.

If this set of scores is representative of all Physics classes Mr. Z has (in other words, with the same mean and same standard deviation), on average what percent of students pass this test? (Passing is 60% minimum.) Use technology or Standard Normal table to find probabilities and show all your reasoning to answer the question. List z-score and percent probability to 2 decimal places or decimal probability to 4 decimal places"

 

I think the following is what is meant:

 

Alan  Apr 29, 2018

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