Chapter 3.3, Problem 3LC

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

The following is a distribution of measurements for a continuous variable. Find the precise median that divides the distribution exactly in half.

Scores: 1, 2, 2, 3, 4, 4, 4, 4, 4, 5

To determine

**To find:** The median that divides the distribution exactly in half, assuming scores are measurements of a continuous variable.

Explanation

**Given info:**

The data represents the sample of scores. The scores are: 1, 2, 2, 3, 4, 4, 4, 4, 4, and 5.

**Calculations:**

Let *X* denote the continuous scores.

*Precise median for a continuous variable*:

If there are *n* observations of a continuous distribution, then the precise median of the distribution is that value, which divides the observations into 2 parts of exactly equal sizes.

Here, number of observations,

The middle-most part of the given distribution of scores is the

This means that the first 5 observations contain 50% of all observations.

The
^{th} observation in ascending order is score

The scores being continuous, the score

Sect-3.2 P-1LCSect-3.2 P-2LCSect-3.2 P-3LCSect-3.2 P-4LCSect-3.2 P-5LCSect-3.2 P-1LCASect-3.2 P-2LCASect-3.2 P-3LCASect-3.2 P-4LCASect-3.3 P-1LC

Sect-3.3 P-2LCSect-3.3 P-3LCSect-3.5 P-1LCSect-3.6 P-1LCSect-3.6 P-2LCSect-3.6 P-3LCSect-3.6 P-4LCCh-3 P-1PCh-3 P-2PCh-3 P-3PCh-3 P-4PCh-3 P-5PCh-3 P-6PCh-3 P-7PCh-3 P-8PCh-3 P-9PCh-3 P-10PCh-3 P-11PCh-3 P-12PCh-3 P-13PCh-3 P-14PCh-3 P-15PCh-3 P-16PCh-3 P-17PCh-3 P-18PCh-3 P-19PCh-3 P-20PCh-3 P-21PCh-3 P-22PCh-3 P-23PCh-3 P-24PCh-3 P-25PCh-3 P-26PCh-3 P-27P

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