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Construct sample means and interpret finite sampling distributions

Question 1 of 8

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Suppose six independent random samples, each of size n=2, from the same population produced the following sample means. The dot plot contains one dot per sample mean, so it has six dots. These supplied data illustrate one empirical sampling distribution; they are not the exact theoretical distribution

SampleMean
\(1\)\(6\)
\(2\)\(6\)
\(3\)\(5\)
\(4\)\(7\)
\(5\)\(\frac{7}{2}\)
\(6\)\(\frac{9}{2}\)
Six sample means: 6, 6, 5, 7, 7/2, 9/2. Repeated means stack at the same horizontal value. Values: 6, 6, 5, 7, 3.5, 4.5.3.54.5567Sample mean (original units)
2 marks

Find the number of dots at mean 9/2 and the fraction of these six sample means at that value. Give exact values