Unit sales for new product ABC have varied in the first seven months of this year as follows:
Month | Jan | Feb | Mar | Apr | May | Jun | Jul |
---|---|---|---|---|---|---|---|
Unit Sales | 145 | 492 | 319 | 265 | 389 | 321 | 180 |
What is the (population) Pearson's coefficient of skewness of the data?
Please round your answer to the nearest hundredth.
unit sale, X | Deviation ( X-M) | square deviation |
145 | -156.57 | 24514.61 |
492 | 190.43 | 36263.04 |
319 | 17.43 | 303 |
265 | -36.57 | 1337 |
389 | 87.43 | 7643 |
321 | 19.43 | 377 |
180 | -121.57 | 14779 |
M : 301.57 | SS : 85219.71 |
median = 319
Standard Deviation calculation
N=7
Mean = 2111/7 = 301.57
SS = 85219.71
σ2 = SS⁄N = 85219.71/7 = 12174.24
standard deviation ,
=√σ2 = √12174.24 = 110.34
the Pearson's coefficient of skewness of the data is
- 0.47
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