Determine whether the following graph can represent a variable with a normal dis

Question

Determine whether the following graph can represent a variable with a normal distribution. Explain your reasoning If the graph appears to represent a normal distribution, estimate the mean and standard deviation 10 15 20 25 30 Could the graph represent a variable with a normal distribution? Explain your reasoning Select the correct choice below and, if necessary il in the answer baxes within your choice OA. and the standard deviation is about Yes, the graph fulfils the properties of the normal distribution. The mean is approximatoly Type whole numbers) O B. No, because the graph is skewed left O C. 04 No, because the graph is skewed right No, because the graph crosses the x-axis. D.

Explanation / Answer

A. Yes the graph appear to be normal since it is symmetric about its centre.

Mean is approximately 20 ( from the diagram)

the standard deviation (S.D)

(The empirical rule states that 3 standard deviations from the right of the mean covers 49.7% of the data)

3 * S.D = 30 - 20

S.D = 10/3 = 3.33

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