11 On page 29 you saw the example about Robert, the student at AvonfordCollege, who collected data relating to the heights of female students. This ishis corrected frequency table and his calculations so far.Height, hMid-value, xFrequency, fxf157.5

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Description: 11 On page 29 you saw the example about Robert, the student at AvonfordCollege, who collected data relating to the heights of female students. This ishis corrected frequency table and his calculations so far.Height, hMid-value, xFrequency, fxf157.5

x f fx fx^2 158.5 4 634 100489 160.5 11 1765.5 283362.8 162.5 19 3087.5 501718.8 164.5 8…

Answered: (i) Calculate the standard deviation.…

Math

Statistics

(i) Calculate the standard deviation. Robert's friend Asha collected a sample of hei

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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11 On page 29 you saw the example about Robert, the student at Avonford
College, who collected data relating to the heights of female students. This is
his corrected frequency table and his calculations so far.
Height, h
Mid-value, x
Frequency, f
xf
157.5 <h< 159.5
158.5
4
634.0
159.5 <h<161.5
160.5
11
1765.5
161.5 <h< 163.5
162.5
19
3087.5
163.5 <h<165.5
164.5
8.
1316.0
165.5 < h< 167.5
166.5
5
832.5
167.5 <h<169.5
168.5
505.5
Totals
50
8141.0
8141.0
= 162.82
%3D
50
(i) Calculate the standard deviation.
Robert's friend Asha collected a sample of heights from 50 male PE students.
She calculated the mean and standard deviation to be 170.4 cm and 2.50 cm.
Later on they realised they had excluded two measurements. It was not
clear to which of the two data sets, Robert's or Asha's, the two items of data
belonged. The values were 171 cm and 166 cm. Robert felt confident about
one of the values but not the other.
(ii) Investigate and comment.
3.

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