Question 1011024: A classroom of 30 students are all measured by height. The heights are as follows: 5.4, 5.5, 6.2, 5.11, 5.2, 5.4, 5.3, 5.9, 5.3, 5.1, 5.10, 5.11, 6.1, 5.6, 5.8, 5.7, 6.0, 4.11, 5.3, 5.7, 6.3, 5.11, 5.2, 5.4, 5.7, 5.3, 5.5, 5.9, 5.6, and 5.10.
Does the data follow a normal distribution?
a. If your sample follows a normal distribution, does this makes sense to
you? Explain why.
b. If your sample does not follow a normal distribution (e.g., it could be
skewed left or right, have a uniform distribution, or have some other
shape), then why might this be the reason?
I had to make this data set up. Please help!
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! In a normal distribution, we expect the mean, median and mode to be the same.
Checking our data
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the mean is the average of the data, in our case sum all the data and divide by 30
the mean = 164.04 / 30 = 5.468 approx 5.5
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to determine the median(we sort the 30 values - use excel to do that) and select the middle value. In our case, we have an even number of values so we select the two middle values and then take their average by summing them and divide by 2
the middle two values are 5.4, so the median is 5.4
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the mode is the number that occurs most frequently
the mode of our data is 5.3
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a) not a normal distribution
b) the data is right-skewed since the mean is 5.5 and the median is 5.4 and the mode is 5.3
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