# Z-Scores and Standard Deviation

Not what you're looking for?

Using the sample data collected (see attached), consider the variables (satisfaction with job and satisfaction with the economy) and perform the following:

Determine what scores correspond to the top and bottom 10% and 25% of the data.

Begin with the z-score formula and transform the formula so that you are solving for the individual score (denoted as X in the z-score formula).

Determine the z-score that corresponds to the top 10% and then substitute in your values for the mean and the standard deviation. Repeat the steps for the bottom 10% and then the top and bottom 25%.

Determine what percentage will be between 3 and 7 for both variables (these scores correspond to ratings of somewhat satisfied to somewhat dissatisfied and exclude the extreme ratings of extremely satisfied and extremely dissatisfied).

Start with the z-score formula and calculate the z-score for each value. Explain the process for converting a z-score to a percentile.

Determine what scores correspond to the top and bottom 10% and 25% of the data.

Transform the z-score formula for solving for the individual score.

Determine the z-score that corresponds to the top 10% and substituted in your values for the mean and the standard deviation. Repeat the steps for the bottom 10% and the top and bottom 25%.

Determine what percentage will be between 3 and 7 for both variables.

Compute the z-score for each value. Explained the process for converting a z-score to a percentile.

##### Purchase this Solution

##### Solution Summary

This solution is comprised of a detailed explanation of standard normal distribution or z score by hand calculation. In this solution, step-by-step explanation of this complicated topic provides students with a clear perspective of standard normal distribution to find the Z-scores using hand calculation.

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

##### Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.