What is the standard deviation of the height distribution?

Question

BlackTom AI · Accepted Answer

The provided data shows a numerical question: 'What is the standard deviation of the height distribution?' with an answer of '2.66' and an empty list for answer_options.

Because there are no answer choices given, there is nothing to evaluate for correctness against alternative options. In a typical multiple-choice or numerical-response scenario, we would compare each option to determine which is correct; here, such comparison isn’t possible.

What we can assess is the general approach to determining the standard deviation of a height distribution if you had the underlying data or a description of the distribution:
- If you have a complete dataset of individual heights, you can compute the standard deviation by calculating the square root of the average of squared deviations from the mean.
  Steps: compute the mean (average height), subtract the mean from each height to get deviations, square these deviations, average them (or sum and divide by n for population standard deviation, or n-1 for sample standard deviation), and take the square root.
- If the problem provides summary statistics (e.g., mean and variance, or a histogram with a known distribution), you can compute the standard deviation from those values or infer it from the distribution's parameters.
- If the distribution is assumed (e.g., height is normally distributed with known parameters), the standard deviation would be a parameter of that model, which should be stated in the problem.

Because the actual data or distribution details are not present here, we cannot verify whether 2.66 is the correct standard deviation for this height distribution. The stated answer '2.66' would need to be checked against the underlying data or the distribution parameters to confirm its accuracy.

In practice, to proceed, you would either provide or obtain:
- The full height data set to compute the standard deviation directly, or
- The distribution type and its parameters (mean, variance, or standard deviation) from which you can derive the answer, or
- The summary statistics (mean and either variance or standard deviation) that allow calculation of the standard deviation.

Until such information is supplied, the correctness of the value 2.66 cannot be established from the given input.

Su25-STATS-141-01/BIO-141-01 Homework 2: Normal Distributions & Hypothesis Tests

What is the standard deviation of the height distribution?

View Explanation

Log in for full answers

Similar Questions

Two filling lines produce the same central amount per bottle. Management wants a statistic that compares how steady each line is from run to run, using all observations rather than only extremes. Which measure should be reported?

Why is standard deviation a useful measure in comparing two data sets?

Question at position 48 IQs among undergraduates at Mountain Tech are approximately Normally distributed. The mean undergraduate IQ is about 110. About 95% of undergraduates have IQs between 100 and 120. The standard deviation of these IQs is about255151020

Question at position 46 If 30 is added to every number on a list, the only one of the following that is not changed isThe medianThe meanThe standard deviationThe 75th percentileThe mode

Question at position 9 ________ is a measure of dispersion that indicates how much the scores in a sample vary around the mean of the sample.RangeMedianCorrelation coefficientStandard deviation

TB MC Qu. 06-24 Of the following measures, the... Of the following measures, the best way to analyze the variability in the sample is to consider the:

位置24的问题 A stock had returns of 5 percent, 14 percent, 11 percent, −8 percent, and 6 percent over the past five years. What is the standard deviation of these returns?7.74%8.44%9.68%7.49%8.21%清除选择

A stock had returns of 16.15 percent, −6.15 percent, and 23.45 percent for the past three years. What is the standard deviation of the returns?

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler