find the mean variance standard deviation and coefficient of variation for the following data.(class 0-10 frequency) (class 10-20 frequency 8) ( class 20-30 frequency 15 ) ( class 30-40 frequency 16 ) (class 40-50 frequency 6)
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Step-by-step explanation:
Answer:
Mean is 42.2 and Mode is 45
Step-by-step explanation:
Given frequency Distribution Table is attached.
To find: Mean And Mode of data.
Formula to calculate the mean,
mean,\overline{x}=\frac{\sum\,x_if_i}{\sum\,f_i}mean,
x
=
∑f
i
∑x
i
f
i
Formula to calculate mode,
mode=l+\frac{f_1-f_0}{2f_1-f_0-f_2}\times hmode=l+
2f
1
−f
0
−f
2
f
1
−f
0
×h
from table,
Mean = 2110 / 50 = 42.2
Modal class = 40 - 50
l=40\:,\:f_1=12\:,\:f_2=10\:,\:f_0=10\:,\:h=10l=40,f
1
=12,f
2
=10,f
0
=10,h=10
mode=40+\frac{12-10}{2\times12-10-10}\times10=40\frac{2}{4}\times10=40+5=45mode=40+
2×12−10−10
12−10
×10=40
4
2
×10=40+5=45
Therefore, Mean is 42.2 and Mode is 45
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