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.
1. Find the Median, Mean, and Standard Deviation of these 10 values. Round to one decimal place if needed. Indicate which is the mean and which is the median. Even though this is the entire class, use the “sample” method when finding the Standard Deviation. Show your work! If you use technology to find the Standard Deviation, then explain how to compute it.
+128475 76, 55, 73, 93, 29, 74, 57, 34, 54, and 75
Order the data from low to high
29 34 54 55 57 73 74 75 76 93
The median is : [ 57 + 73] / 2 = 130/2 = 65
The mean is [ 29 + 34 + 54 + 55 + 57 + 73 + 74 + 75 + 76 + 93] / 10 = 62
The standard deviation is ≈ 20
We take the absolute value difference of each score from the mean, square it and add these squares together......then, for a sample, we divide this by the number of scores less one......the square root of the last calculation is the standard deviation
