Question

 Determine whether the graph shown could 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.

 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

 A. The graph could not represent a variable with a normal distribution because the graph is skewed to the right.

 B. The graph could represent a variable with a normal distribution because the curve is symmetric and bell-shaped. Its mean is approximately and its standard deviation is approximately (Round to one decimal place as needed.)

 C. The graph could not represent a variable with a normal distribution because the curve is constant. 

 D. The graph could not represent a variable with a normal distribution because the curve crosses the X-axis.

 E. The graph could not represent a variable with a normal distribution because the curve has two modes.

 F. The graph could not represent a variable with a normal distribution because the graph is skewed to the left.

Answer 1

Answer is

(F) The graph could not represent a variable with normal distribution because the graph is skewed to the left .

Note : As we can see from the graph that it has longer left tail , it is called negatively skewed or skewed to the left .Thus it cannot represent normal distribution as for normal distribution the graph should be bell shaped and symmetric . Left tail is mirror image of the right tail .For normal distribution , mean median and mode coincide.