Which of the following is not a method used for determining whether data are fro

Question

Which of the following is not a method used for determining whether data are from an approximately normal distribution?

a. Construct a normal probability plot. The points should fall approximately on a straight line.

b. Construct a histogram or stem-and-leaf display. The shape of the graph or display should be uniform (evenly distributed).

a. Construct a normal probability plot. The points should fall approximately on a straight line.

b. Construct a histogram or stem-and-leaf display. The shape of the graph or display should be uniform (evenly distributed).

c. Find the interquartile range, IQR, and standard deviation, s, for the sample. Then 1.3.

d. Compute the intervals ± s, ± 2s, and ± 3s. The percentages of measurements falling in each should be approximately 68%, 95%, and 100% respectively.

Explanation / Answer

normal probability plot is one of the most important method used for determining whether data are from

an approximately normal distribution. If the points should fall approximately on a straight line then we say that the

data comes from normal distribution. So method in part a) is used for determining whether data are from

an approximately normal distribution.

Histogram or stem-and-leaf display, are very effective if the sample size is large because we can visualized the

graphs and conclude that is the shape approximately normal or not. So method in part b) also used

for determining whether data are from an approximately normal distribution.

c) Using the relation of Inter Quartile range and standard deviation we can find the data is normally distributed or

not so method in part c) also be used for checking normality condition

d) The rule given in part d) also called as empirical rule and bell-shaped graph generally followed this rule.

So all the above methods are useful for  determining whether data are from an approximately normal distribution

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.