The First case of covid-19 pandemic in Sikkim state was reported on 23rd May, 2020. The number of covid-19 cases of various days are given below: DAYS NO. OF CASES Less than 30 1 Less than 60 85 Less than 90 639 Less than 120 1475 Less than 150 2568 Less than 180 3831 Less than 210 4650 (a) Find the mean, mode and median of above data (b) Find the probability of (i)No. of cases from 30-60 days. (ii) No. of cases from above 180 days.
Answers
Given : The number of covid-19 cases of various days of Sikkim
To Find : (a) Find the mean, mode and median of above data
(b) Find the probability of
(i)No. of cases from 30-60 days.
(ii) No. of cases from above 180 days.
Solution:
Class f cf Mean d= (mean - 105)/30 d * f
0 - 30 1 1 15 -3 -3
30 - 60 84 85 45 -2 -168
60 - 90 554 639 75 -1 -554
90-120 836 1475 105 0 0
120-150 1093 2568 135 1 1093
150-180 1263 3831 165 2 1263
180 - 210 819 4650 195 3 2457
4650 4,088
Mean = 105 + 30 x ( 4008)/4650
= 105 + 25.86
= 130.86
4650/2 = 2325
Median = 120 + 30 x (2325 - 1475)/1093
= 120 + 23.33
= 143.33
Mode = 150 + 30 ( 1263 - 1093)/(1263 - 1093 + 1263 - 819)
= 150 + 30 ( 170)/(614)
= 150 + 8.3
= 158.3
probability of (i)No. of cases from 30-60 days = 84 /4650 = 0.0181
probability of No. of cases above 180 days. = 819 /4650 = 0.1761
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