Page 2 172 -174 We have N = 420 N/2 = 420/ 2 = 120 171.5-174.5 18 N =420 420 The cumulative frequency just greater than N/2 is 275 then 165.5 - 168.5 is the median class such, that L = 165.5, f = 142, F = 133 and h = 168.5 - 165.5 = 3 li-F Mean = L + N2-FfXhL + - 2 - x h f = 166.5 + 1.63 = 168.13 3. Following is the distribution of I.Q of 100 students. Find the median I.Q. I.Q: No of students: Soln: Class interval (exclusive) 55- 64 65- 74 75- 84 85- 94 95-104 55-64 65-74 75-84 85-94 95-104 105- 1 114 115-124 125-134 135-144 2 22 Class interval (inclusive) 54.5-64-5 64.5-74.5 74.5-84.5 84.5-94.5 94.5-104.5 9 8 22 Class interval frequency 1 2 9 22 33 (f) 33 2 1 Cumulative frequency 1 3 12 34 (f) 67 Page 3 172 -174 We have N = 420 N/2 = 420/ 2 = 120 171.5-174.5 18 N =420 420 The cumulative frequency just greater than N/2 is 275 then 165.5 - 168.5 is the median class such, that L = 165.5, f = 142, F = 133 and h = 168.5 - 165.5 = 3 li-F Mean = L + N2-FfXhL + - 2 - x h f = 166.5 + 1.63 = 168.13 3. Following is the distribution of I.Q of 100 students. Find the median I.Q. I.Q: No of students: Soln: Class interval (exclusive) 55- 64 65- 74 75- 84 85- 94 95-104 55-64 65-74 75-84 85-94 95-104 105- 1 114 115-124 125-134 135-144 2 22 Class interval (inclusive) 54.5-64-5 64.5-74.5 74.5-84.5 84.5-94.5 94.5-104.5 9 8 22 Class interval frequency 1 2 9 22 33 (f) 33 2 1 Cumulative frequency 1 3 12 34 (f) 67 Page 4 172 -174 We have N = 420 N/2 = 420/ 2 = 120 171.5-174.5 18 N =420 420 The cumulative frequency just greater than N/2 is 275 then 165.5 - 168.5 is the median class such, that L = 165.5, f = 142, F = 133 and h = 168.5 - 165.5 = 3 li-F Mean = L + N2-FfXhL + - 2 - x h f = 166.5 + 1.63 = 168.13 3. Following is the distribution of I.Q of 100 students. Find the median I.Q. I.Q: No of students: Soln: Class interval (exclusive) 55- 64 65- 74 75- 84 85- 94 95-104 55-64 65-74 75-84 85-94 95-104 105- 1 114 115-124 125-134 135-144 2 22 Class interval (inclusive) 54.5-64-5 64.5-74.5 74.5-84.5 84.5-94.5 94.5-104.5 9 8 22 Class interval frequency 1 2 9 22 33 (f) 33 2 1 Cumulative frequency 1 3 12 34 (f) 67 Page 5 172 -174 We have N = 420 N/2 = 420/ 2 = 120 171.5-174.5 18 N =420 420 The cumulative frequency just greater than N/2 is 275 then 165.5 - 168.5 is the median class such, that L = 165.5, f = 142, F = 133 and h = 168.5 - 165.5 = 3 li-F Mean = L + N2-FfXhL + - 2 - x h f = 166.5 + 1.63 = 168.13 3. Following is the distribution of I.Q of 100 students. Find the median I.Q. I.Q: No of students: Soln: Class interval (exclusive) 55- 64 65- 74 75- 84 85- 94 95-104 55-64 65-74 75-84 85-94 95-104 105- 1 114 115-124 125-134 135-144 2 22 Class interval (inclusive) 54.5-64-5 64.5-74.5 74.5-84.5 84.5-94.5 94.5-104.5 9 8 22 Class interval frequency 1 2 9 22 33 (f) 33 2 1 Cumulative frequency 1 3 12 34 (f) 67Read More

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