   Chapter 4.3, Problem 2LCA Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

a. Sketch a histogram showing the frequency distribution for the following population of N = 6 scores: 12, 0, 1. 7, 4, 6. Locate the mean in your sketch, and estimate the value of the standard deviation.b. Calculate SS, variance, and the standard deviation for these scores. How well does your estimate compare with the actual standard deviation?

(a)

To determine

To draw: The histogram for the frequency distribution of population scores.

To locate: The mean in the histogram.

Explanation

Given info:

The population scores are 12, 0, 1, 7, 4, and 6.

Construction of histogram:

Software procedure:

Step-by-step procedure for constructing histogram by EXCEL procedure:

• Enter data in to data Excel sheet.
• Select Mega Stat option from Add-Ins menu.
• Select Quantitative from Frequency Distributions.
• Select Input range and choose Histogram.
• Click Ok.

Calculating the standard deviation:

The mean of the population scores is,

M=xin=12+0+1+7+4+66=306=5

The standard deviation of the population score is,

σ=

(b)

To determine

To find: The sum of squared deviations, variance and standard deviation for the population of scores.

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