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Answer:
Mode = 3.571
Mean direct method = 2964.133
Step-by-step explanation:
CI. F XI ( UL +LL /2) FIXI
5-15 6 10 60
15-25 11 20 220
25-35 21 30 630
35-45 23 40 920
45-55 14 50 700
h = UL( upper limit) - LL ( lower limit)
15-5 = 10
Total Fi = 75 Total FIXI = 222310
Mean direct method = zigma FIXI / Fi
222310/75 = 2964.133
Therefore mean is 2964.133
Mode =
F0 ( the observation above the most occurring observation) = 15
F1 ( most occurring observation) = 20
F2 ( the observation below the most occurring observation) = 11
H = UL - LL
10-0 = 10
Mode = (f1-f0/2f1-f0-f2) *h
(20-15/2(20)-15-11)*10
(5/14)*10 ( 14 and 10 can be simplified in 2 table leaving 7 and 5)
25/7 = 3.571
Therefore mode = 3.571
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