Find the median and the mode, and compare it with the given mean value. Determine the intervals within 1, 2 and 3 standard deviations from the mean, that is, the µ ± 1σ, µ ± 2σ, µ ± 3σ. Verify that the empirical rule holds that is, approximately, 68%, 95%, and 99% of the data lie within ± 1σ, ± 2σ, ± 3σ units of the mean, respectively.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Solve the problem and draw the normal curve with the shaded region representing the given scenario in the problem. 

The accountants of a known auditing firm have a mean daily salary Php 850 with a standard deviation of Php 82.

 

  1. Find the median and the mode, and compare it with the given mean value.
  2. Determine the intervals within 1, 2 and 3 standard deviations from the mean, that is, the µ ± 1σ, µ ± 2σ, µ ± 3σ.
  3. Verify that the empirical rule holds that is, approximately, 68%, 95%, and 99% of the data lie within ± 1σ, ± 2σ, ± 3σ units of the mean, respectively.
  4. If an accountant from the firm is chosen at random, what is the probability that he /she earning Php 950 to Php 1,000?
  5. What percentage of the accountants will fall in between the salary of Php 300 and Php 500?
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