Question

Compute the following from given frequency distribution:

i) Mean;

ii) Median;

iii) Variance and

iv) Standard Deviation

Class Interval Frequency (f)
295-299 2
290-294 3
285-289 1
280-284 4

 

275-279 10
270-274 8
265-269 5
260-264 4
255-259 1
250-254 3
245-249 2
240-244 6

 

24 Nov 2020
Answer :
Word Count : 513

i) Mean -

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Class Interval Exact Units of Class Interval Mid-Point (x) Frequency (f) Deviation from the AM (x) fx
295-299 295.5-299.5 297 2 5 10
290-294 290.5-294.5 292 3 4 12
285-289 285.5-289.5 287 1 3 3
280-284 280.5-284.5 282 4 2 8
275-279 275.5-279.5 277 10 1 10
270-274 270.5-274.5 272 8 0 0
265-269 265.5-269.5 267 5 -1 -5
260-264 260.5-264.5 262 4 -2 -8
255-259 255.5-259.5 257 1 -3 -3
250-254 250.5-254.5 252 3 -4 -12
245-249 245.5-249.5
57 56 81 60 63 62 55 53
60 72 87 62 78 67 77 63
70 62 92 91 88 80 78 73
88 79 80 80 76 74 70 83
55 56 71 71 87 82 80 93

Compute the following from given frequency distribution:

i) Mean;

ii) Median;

iii) Variance and

iv) Standard Deviation

Class Interval Frequency (f)
295-299 2
290-294 3
285-289 1
280-284 4
275-279 10
270-274 8
265-269 5
260-264 4
255-259 1
250-254 3
245-249 2
240-244 6
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