Standard Deviation Lesson Slides: 5 Slides (Grade 11)

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1

Statistics : Standard Deviation continued

2

Formula to find the Standard Deviation of a Frequency Distribution

$S.D.\ =\sqrt{\frac{\in\left(x-\overline{x}\right)^2f}{\in f}}where\ \overline{x}\ =\frac{\in xf}{\in f}$

3

The first 2 columns are given to you. ( x and f)

4

The table below shows the distribution of marks in an examination. Calculate the S.D of this set of data.

$\overline{x}\ =\frac{\in xf}{\in f}=\frac{300}{60}=5$
$S.D.\ =\sqrt{\frac{\in\left(x-\overline{x}\right)^2f}{\in f}\ }=\sqrt{\frac{292}{60}}=2.21$
The data is relatively normal.

5

Standard Deviation for Grouped Data.

The frequency table below shows the distribution of heights of 100 students at a school. Find the S.D of this data.

$\overline{x}\ =\frac{\in fx}{\in f}=\frac{15870}{100}=158.7$

S.D.=\ \sqrt{\frac{\in\left(x-\overline{x}\right)^2f}{\in f}}=\sqrt{\frac{7161}{100}}=8.46

Statistics : Standard Deviation continued

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