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Find the median of the following distribution: marks: 35,45,50, 64,70,72 no. of students: 3,5,8,10,5,5. |
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Answer» Step-by-step explanation:We write the distribution in the cumulative frequency table. Marks No. of STUDENTS (f) Cumulative frequency 35 3 3 45 5 8 50 8 16 64 10 26 70 5 31 72 5 36 Here total number of observations, n=36 which is even. Median= 2 1 (n/2 th term+((n/2)+1) th term) = 2 1 (36/2 th term+((36/2)+1) th term) = 2 1 (18 th term+(18+1) th term) = 2 1 (18 th term+19 th term) = 2 1 (64+64) [Since 17 th to 26 th observation is 64] = 2 1 ×128 =64 Hence the median is 64. |
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