Does the skewness index in the Descriptives table suggest a skew? If so, in whic

Question

Does the skewness index in the Descriptives table suggest a skew? If so, in which direction?

What does the kurtosis index in the Descriptives table suggest?

Looking at the Percentile Table (ignoring information on Tukey’s Hinges), what age is at the 5th percentile for first birth? What age is at the 95th percentile? Explain the bearing of these values on the calculation of the trimmed mean.

13.62 12630 13.67 Percentiles Percentiles 5 10 25 500 90 95 15.36 16.01 17.16 18.78 21.21 24.63 27.45 Age at first b HAverage 17.18 18.78 21.21 Tukey's Hinges Descriptives Statisti Std. Error 19.68 Age at first birth Mean 95% Confidence Interval for Mean Lower Bound 19.44 Upper Bound 19.92 19.35 5% Trimmed Mean 18.78 Median variance 14.33 3.78 Std. Deviation 11.25 Minimum 42.32 Maximum 31.07 Range 4.05 Inter quartile Range 1.59 ,08 Skewness 16 3.75 Kurtosis

Explanation / Answer

The skewness is 1.59. Since it is positive so distributon is skewed to right.

Kutorsis is 3.75 . It shows that distribution has light tails and have no apparent outliers.

The 5th percentile is 15.36.

The 95th percentile is 27.45.

5% trimmed mean means we remove 5% lowest data values and 5% highest data values. And then calculate the mean of remaining values.

That is we remove data values less than equal to 15.36 and greater than equal to 27.45 to calculate the 5% trimmed mean.

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