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To complete the "less than type frequency" column, we add the current class's frequency to the cumulative frequency of the previous class.

Physics

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Here is the completed cumulative frequency table.

To complete the "less than type frequency" column, we add the current class's frequency to the cumulative frequency of the previous class.

  • For Class 0-10: The frequency is 2. The cumulative frequency is 2.

  • For Class 10-20: The frequency is 12. The cumulative frequency is 2+12=142 + 12 = 14. So, the first blank is 14\boxed{14}.

  • For Class 20-30: The frequency is 20. The previous cumulative frequency was 14. The cumulative frequency is 14+20=3414 + 20 = 34. So, the second blank is 14\boxed{14}.

  • For Class 30-40: The frequency is 16. The previous cumulative frequency was 34. The cumulative frequency is 34+16=5034 + 16 = 50. So, the third blank is 16\boxed{16} and the fourth blank is 50\boxed{50}.

Here is the completed table:

Class Age (in years)frequencyless than type frequency
0-1022
10-20122+12=142 + 12 = \boxed{14}
20-302014+20=34\boxed{14} + 20 = 34
30-401634+16=5034 + \boxed{16} = \boxed{50}
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