Consider the following dataset taken for a field experiment (meansure in meters) 120 230 220 305...

Consider the following dataset taken for a field experiment (meansure in meters)

120 230 220 305 410 250 290 300 200 210 210 200 210 210 300 400 200 210 350 3000

a. Describe the distribution by computing:

i. Skweness. Interpret your result

ii. Kurtoisis. Interpret your result

b. is there an observation that may be an outlier? Explain?

Draw a boxplot for the distribution

Solutions

Expert Solution

1. If skewness is positive, the data are positively skewed or skewed right, meaning that the right tail of the distribution is longer than the left. In this case, the skewness is 3.9329. We can thus conclude that the data is positively skewed. Also because the value of of the skewness is greater than -, we can conclude that the data is highly skewed.

2. The kurtosis value is 17.5574. A distribution with kurtosis >3 (excess kurtosis >0) is called leptokurtic. Compared to a normal distribution, its tails are longer and fatter, and often its central peak is higher and sharper. Therefore, this distribution can be described as leptokurtic.

3. The last value, 3000 can be an outlier. This is because it is an observation point that is distant from other observations.

Hayet Jeridi answered 6 months ago

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