Question

True?. False? Please Explain B.) you are trying to estimate Q1 ( the 25th percentile) for the anual household income in the us based on a sample of households earnings can you suggest an estimator for Q1!? Please explain why you believe this is a good estimator

Answer 1

You can provide sample Q1 is an estimator for Population Q1.

Reason :   The sample quartile is an unbiased estimate of the population quartile. Furthermore the limit of the dispersion of the distribution of sample quartiles as sample size increases without bound is zero.

How to calculate Sample Q1 ?

First arrange the data into ascending order. Now count the data points. Let the data point be n.

If n is odd then sample Q1 = (n+1)/4 the data point.

If n is even then sample Q1 = [n/4 th data point + (n+ 2)/4 th data point] / 2

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