If mean,mode and variance of a frequency distribution are 43,46 and 81 respectively.then find the value of pearsons coefficient of skewness
Answers
Answer:
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Step-by-step explanation:
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Answer:
Pearson's coefficient of skewness = -0.333....
Step-by-step explanation:
Given : mean = 43, mode = 46, variance = 81.
To find :
The value of Pearson's coefficient of skewness.
Solution : variance = 81, then standard deviation = √81 = 9.
Karl Pearson's coefficient of skewness :
The coefficient of skewness is used to compare a sample distribution to a normal one. It is the way to measure the skewness in a given data.
This coefficient is one of the measures of skewness.
There are two methods.
Pearson's coefficient of skewness = (mean - mode)/standard deviation,
Pearson's coefficient of skewness = 3×( mean - median )/σ,
where σ = standard deviation.
We use the first formula, as the mean , mode and variance are given.
Now, Pearson's coefficient of skewness
=(mean - mode )/standard deviation
=(43 - 46)/9
= -3/9
= -1/3
= -0.3333..
Pearson's coefficient of skewness = -0.333....
since the value is minus, the skewness is negative skew or left skew.
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