Using the midpoints of the indicated ranges of X; (i.e, 1.90 gram for the first class), to Xi fi 2 1.85-1.95 (1.90) 1.95-2.05 (2.0) 2.05-2.15 (2.1) 2.15-2.25 (2.2) 2.25-2.35 (2.3) 2.35-2.45 (2.4) 2.45-2.55 (2.5) 2.55-2.65 (2.6) 2.65-2.75 (2.7) 1 2 3 10 4 1 (b) Calculate the mean leaf weight. (c) Calculate the median leaf weight using Two different equations discussed in class. (d) Determine the mode of the frequency distribution.

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Using the midpoints of the indicated ranges of X;
(i.e, 1.90 gram for the first class), to
Xi
fi
1.85-1.95 (1.90)
1.95-2.05 (2.0)
2.05-2.15 (2.1)
2.15-2.25 (2.2)
2.25-2.35 (2.3)
2.35-2.45 (2.4)
2.45-2.55 (2.5)
2.55-2.65 (2.6)
2.65-2.75 (2.7)
2
1
2
3
10
4
1
(b) Calculate the mean leaf weight.
(c) Calculate the median leaf weight using Two
different equations discussed in class.
(d) Determine the mode of the frequency
distribution.
(e) Calculate the sum of squares using two
formulas.
(f) Calculate the variance, the standard deviation,
and the coefficient of variation.
Transcribed Image Text:Using the midpoints of the indicated ranges of X; (i.e, 1.90 gram for the first class), to Xi fi 1.85-1.95 (1.90) 1.95-2.05 (2.0) 2.05-2.15 (2.1) 2.15-2.25 (2.2) 2.25-2.35 (2.3) 2.35-2.45 (2.4) 2.45-2.55 (2.5) 2.55-2.65 (2.6) 2.65-2.75 (2.7) 2 1 2 3 10 4 1 (b) Calculate the mean leaf weight. (c) Calculate the median leaf weight using Two different equations discussed in class. (d) Determine the mode of the frequency distribution. (e) Calculate the sum of squares using two formulas. (f) Calculate the variance, the standard deviation, and the coefficient of variation.
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b)
Here,

Class Interval Frequency, f Midpoint, x fx
1.85-1.95 2 1.9 3.8
1.95-2.05 1 2 2
2.05-2.15 2 2.1 4.2
2.15-2.25 3 2.2 6.6
2.25-2.35 5 2.3 11.5
2.35-2.45 10 2.4 24
2.45-2.55 4 2.5 10
2.55-2.65 3 2.6 7.8
2.65-2.75 1 2.7 2.7
Total 31   72.6

 

Then, the mean is
Mean=fxf=72.631=2.3419

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