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Statistical Studies: Standard Deviation Exercises and Solutions, Exams of Statistics

Stanford UniversityStatistics

A set of exercises focused on statistical studies, specifically concerning standard deviation and variance. It includes questions related to calculating variance, standard deviation, and z-scores, along with detailed answers. The exercises cover topics such as population variance, sample variance, the impact of outliers on standard deviation, and the interpretation of z-scores. This material is suitable for students learning introductory statistics and data analysis, offering practical problems to reinforce theoretical concepts and improve problem-solving skills in statistical calculations. It serves as a useful study guide for exam preparation and understanding statistical measures.

Typology: Exams

2025/2026

Available from 12/06/2025

joyce-williams
joyce-williams 🇺🇸

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Statistical Studies: Standard Deviation (Assignment)
~Amdm Exam Study Guide
1. The data set on the right represents
2.Which formula should be used to calculate the variance?
3. What is the variance? - ANSWER 1. the population
2. C
3. 58.5
A contractor records all of the bedroom areas, in square feet, of a five-
bedroom house as:
100, 100, 120, 120, 180
1. What is the variance?
2. What is the standard deviation? - ANSWER 1. 864
2. 29.4
A contractor records the areas, in square feet, of several houses in a
neighborhood to determine data about the neighborhood. Which formula
should be used to calculate the standard deviation?
Why does the formula use "n - 1" in the denominator? - ANSWER The
second formula
The data is a sample and is expected to be more dispersed from the mean.
A set of data has a high-value outlier. How do you expect the standard
deviation to change when the outlier is removed? Would the result be
different if the data had a low-value outlier instead? Explain. - ANSWER
What to include in your response.
The standard deviation will decrease when the outlier is removed.
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Download Statistical Studies: Standard Deviation Exercises and Solutions and more Exams Statistics in PDF only on Docsity!

Statistical Studies: Standard Deviation (Assignment)

~Amdm Exam Study Guide

  1. The data set on the right represents 2.Which formula should be used to calculate the variance?
  2. What is the variance? - ANSWER 1. the population
  3. C

A contractor records all of the bedroom areas, in square feet, of a five- bedroom house as: 100, 100, 120, 120, 180

  1. What is the variance?
  2. What is the standard deviation? - ANSWER 1. 864

A contractor records the areas, in square feet, of several houses in a neighborhood to determine data about the neighborhood. Which formula should be used to calculate the standard deviation? Why does the formula use "n - 1" in the denominator? - ANSWER The second formula The data is a sample and is expected to be more dispersed from the mean. A set of data has a high-value outlier. How do you expect the standard deviation to change when the outlier is removed? Would the result be different if the data had a low-value outlier instead? Explain. - ANSWER What to include in your response. The standard deviation will decrease when the outlier is removed.

Standard deviation represents the spread of data from the mean. Removing a high-value outlier decreases the spread of data from the mean. Removing a low-value outlier decreases the spread of data from the mean. In both cases the standard deviation decreases.

  1. A contractor records the areas, in square feet, of several houses in a neighborhood to determine data about the neighborhood. They are: 2,400; 1,750; 1,900; 2,500; 2,250; 2, Which of the following represents the numerator in the calculation of variance and standard deviation?
  2. What is the variance?
  3. What is the standard deviation, rounded to the nearest whole number? - ANSWER 1. (250)2 + (-400)2 + (-250)2 + (350)2 + (100)2 + (-50)2 = 420,
  4. 84000
  6. A data set has the following characteristics: Mean: 4.

The data value x exists in two data sets: A and B. The mean is equal for both data sets. If the standard deviation for set A is greater than the standard deviation for set B, which is true for zx for set A? - ANSWER It is less than zx for set B.