Using the grouped data below, find the standard deviation. Use the formulas and steps given to find the standard deviation of the grouped data.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Using the grouped data below, find the standard deviation. Use the formulas and steps given to find the standard deviation of the grouped data.

2:
FORMULA
1: Multiply f by xm for EACH CLASS
E
3
3
3
Sum of
4: Get
3: Square xm then multiply the f
by the
square of
xm
sum
4
5: Sobstitute
Formula 1:
S =
Formula 2:
S-
OF
Stand and Deviation
xm
4
n-1
<f.x²
2
xm²
n ({ f. x²c) - ({f .xc)²
n(n-1)
you Find Porylation, it
must be
ED
FOTO
GRID
Transcribed Image Text:2: FORMULA 1: Multiply f by xm for EACH CLASS E 3 3 3 Sum of 4: Get 3: Square xm then multiply the f by the square of xm sum 4 5: Sobstitute Formula 1: S = Formula 2: S- OF Stand and Deviation xm 4 n-1 <f.x² 2 xm² n ({ f. x²c) - ({f .xc)² n(n-1) you Find Porylation, it must be ED FOTO GRID
GROUPED DATA...
CLASS
LIMITS
5-7
8-10
11-13
14-16
17-19
CLASS
BOUNDARIES
4.5-7.5
7.5-10.5
10.5-13.5
13.5-16.5
16.5-19.5
TALLY FREQUENCY
=
||
I
||
37
32
31
17
4
CLASS
MARK
6
9
12
15
18
<cf
37
69
100
117
121
>cf
121
84
52
21
4
RELATIVE FREQUENCY
Proportion Percentage
0.0331
3.31%
0.1405
0.2562
0.2645
0.3058
14.05%
25.62%
26.45%
30.58%
Transcribed Image Text:GROUPED DATA... CLASS LIMITS 5-7 8-10 11-13 14-16 17-19 CLASS BOUNDARIES 4.5-7.5 7.5-10.5 10.5-13.5 13.5-16.5 16.5-19.5 TALLY FREQUENCY = || I || 37 32 31 17 4 CLASS MARK 6 9 12 15 18 <cf 37 69 100 117 121 >cf 121 84 52 21 4 RELATIVE FREQUENCY Proportion Percentage 0.0331 3.31% 0.1405 0.2562 0.2645 0.3058 14.05% 25.62% 26.45% 30.58%
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