Find the mean and mode of the following frequency distribution:
Classes Frequency
0-10 3
10-20 8
20-30 10
30-40 15
40-50 7
50-60 4
60-70 3
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Answer:
mean = 32.8
Mode = 33.85
Step-by-step explanation:
Class. Mid point frequency. Xi Fi
0-10. 5. 3. 15.
10-20. 15. 8. 120
20-30. 25. 10. 250
30-40. 35. 15 525
40-50. 45. 7. 315
50-60. 55. 4. 220
60-70. 65. 3. 195
Mean = Sum of XiFi / sum of Fi
= 1640/50 = 32.5
Mode = 30+ ( 15-10)/(2*15-10-7)*10 = 30+3.85= 33.85
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