# Question: Karl Pearson developed a measure that describes the skewness of

Karl Pearson developed a measure that describes the skewness of a distribution, called the coefficient of skewness. The formula is

Skewness = 3(mean — median) /standard deviation

The value of this measure generally lies between -3 and +3. The closer the value lies to -3, the more the distribution is skewed left. The closer the value lies to +3, the more the distribution is skewed right. A value close to 0 indicates a symmetric distribution. Find the coefficient of skewness of the following distributions and comment on the skewness.

(a) Mean = 50, median = 40, standard deviation = 10

(b) Mean = 100, median = 100, standard deviation = 15

(c) Mean = 400, median = 500, standard deviation = 120

(d) Compute the coefficient of skewness for the data in Problem 23.

(e) Compute the coefficient of skewness for the data in Problem 24.

Skewness = 3(mean — median) /standard deviation

The value of this measure generally lies between -3 and +3. The closer the value lies to -3, the more the distribution is skewed left. The closer the value lies to +3, the more the distribution is skewed right. A value close to 0 indicates a symmetric distribution. Find the coefficient of skewness of the following distributions and comment on the skewness.

(a) Mean = 50, median = 40, standard deviation = 10

(b) Mean = 100, median = 100, standard deviation = 15

(c) Mean = 400, median = 500, standard deviation = 120

(d) Compute the coefficient of skewness for the data in Problem 23.

(e) Compute the coefficient of skewness for the data in Problem 24.

## Answer to relevant Questions

A popular theory in investment states that you should invest a certain amount of money in foreign investments to reduce your risk. The risk of a portfolio is defined as the standard deviation of the rate of return. Refer to ...Draw two histograms with different standard deviations and label them I and II. Which histogram has the larger standard deviation? The following data represent SAT Mathematics scores for 2010. SAT Math Score .... Number 200-299 ....... 36,305 300-399 ....... 193,968 400-499 ....... 459,010 500-599 ....... 467,855 600-699 ...... 286,518 700-800 ...The following data represent the age of the mother at childbirth for 1980 and 2007. (a) Approximate the population mean and standard deviation of age for mothers in 1980. (b) Approximate the population mean and standard ...The average 20-to-29 year old man is 69.6 inches tall, with a standard deviation of 3.0 inches, while NW the average 20- to 29-year-old woman is 64.1 inches tall, with a standard deviation of 3.8 inches. Who is relatively ...Post your question