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Question No.1
48 29 31 32 54 33 44 36 38 31 46 30 20 44 47 39 42 35 33 47 31 35 34 42 41 42 43 35 32 35 43 36 37 45 46 41 25 27 26 40 38 41 44 47 45 45 52 43 44 43
Classes Frequency C.Boundaries X
20 24 1 19.5 24.5 34.25
25 29 4 24.5 29.5 41.75
30 34 9 29.5 34.5 49.25
35 39 10 34.5 39.5 56.75
40 44 15 39.5 44.5 64.25
45 49 9 44.5 49.5 71.75
50 54 2 49.5 54.5 79.25
X Mid points
F Frequency
Question No.2
Class Limits F C.Boundaries X FX
0.7312 0.7313 10 0.73115 0.73135 0.73125 7.3125
0.7314 0.7314 15 0.73135 0.73155 0.73145 10.97175
0.7316 0.7317 20 0.73155 0.73175 0.73165 14.633
0.7318 0.7319 25 0.73175 0.73195 0.73185 18.29625
0.732 0.7321 30 0.73195 0.73215 0.73205 21.9615
0.7322 0.7323 8 0.73215 0.73235 0.73225 5.858
0.7324 0.7325 2 0.73235 0.73255 0.73245 1.4649
110
5.12295 80.4979
EFX 80.4979
EF 110
Mean = EFX
EF
Mean= 80.4979
110
Mean= 0.73179909
Your means lies in the class boundary of 0.73175-0.73195
Mode
Mode= L + Fm-F1 x h
(Fm-F1) + (Fm- F2)
L Lower Class Boundary of the modal Class
Fm Maximum Frequency
F1 frequency of the class preceding the Modal Class
F2 frequency of the class Following the Modal Class
h Length of class difference
Mode= 0.73195+ 30-25 x 0.0002
(30-25)+ (30-2)
Mode= 0.731973
You can clealry see that your mode 0.731973 lies in the modal class
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