32. An incomplete frequency distribution is given below:
Height 5.1-6.0 6.1-7.0 7.1-8.0 8.1-9.0 9.1–10.0 10.1–11.0 11.1-12.0
(inches)
No. of Plants 3 8 27 ? 17 119
It is known that the median height of the plant is 8.53 inches. Calculate the
missing frequency
Answers
Answered by
11
Answer:
X = 25
Step-by-step explanation:
5.1 - 6.0 3 3
6.1 - 7.0 8 11
7.1 - 8.0 27 38
8.1 - 9.0 X 38+X
9.1 - 10.0 17 55+X
10.1 - 11.0 11 66+X
11.1 - 12.0 9 75+X
Median = 8.53 lies between 8.1 - 9.0
Median Group = 8.1 - 9.0
Median Formula = L + ((n/2 - B) /G) *W
L is the lower class boundary of the group containing the median = 8.05
n is the total number of values = 75+X
B is the cumulative frequency of the groups before the median group = 38
G is the frequency of the median group = X
w is the group width = 1
8.53 = 8.05 + (((75 +X)/2 - 38)/X ) * 1
=> 0.48X = X/2 - 1/2
=> 0.02X = 1/2
=> X = 25
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