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Solve the problem. Which of the following methods may be used to determine if da

ID: 3304403 • Letter: S

Question

Solve the problem. Which of the following methods may be used to determine if data is normally distributed? I. Construct a histogram and/or stem-and-leaf display of the data and check the shape. 11. Compute the intervals x ± s, x 2s, and x ± 3s, and determine the percentage of measurements falling in each. Compare these percentages to 68%, 95%, and 100%. e a value of a If this value is a IV Construct a normal probability plot of the data. If the points fall on a straight line, then the data is normal. Oll only O I, II, IlI, and IV Oonly O I only O IlIl only

Explanation / Answer

Option A ) Histogram and stam and leaf chart are graphical methods used to check the normality of data .

Option B ) The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean.

Option C ) The IQR is and Standard deviation are both the measures of spread of the data around the mean.

Option D ) Normal probability plot is the graphical technique to check whether the data is normally distributed or not.

So, all these above options are correct.

Option B ) 1,2,3,and 4 are correct ...(Answer )

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