Statistical Methods-Dispersion and Skewness (ISS Statistics Paper I (Old Subjective Pattern)): Questions 1 - 2 of 2

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Question number: 1

» Statistical Methods » Dispersion and Skewness

Appeared in Year: 2012

Essay Question▾

Describe in Detail

Show, by proving all intermediate results, that for a set of n unsorted data, the measure of skewness based on mean, median and standard deviation, necessarily lies between -3 and + 3.

Explanation

The formula of measure of skewness given by Karl Pearson’s is

α3=meanmodestandarddeviation

Also, we known the relation of mean, median and mode… (217 more words) …

Question number: 2

» Statistical Methods » Dispersion and Skewness

Appeared in Year: 2010

Essay Question▾

Describe in Detail

The first three moments of a distribution about the value 1 are 2, 25 and 80. Find its mean standard deviation and the moment-measure of skewness.

Explanation

Given that a = 1, μ1a=2,μ2a=25,μ3a=80

The mean is

μ1a=u1a

2=μ11

μ=μ1=3

The standard… (154 more words) …

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