+1 vote
in General by kratos

For the following distribution:

| Class | 0 5 | 5 10 | 10 15 | 15 20 | 20 25 |
| Frequency | 10 | 15 | 12 | 20 | 9 |

the sum of lower limits of the median class and modal class is ______.

  • 15
  • 25
  • 30
  • 35

1 Answer

+5 votes
by kratos
 
Best answer

| Class | 0 5 | 5 10 | 10 15 | 15 20 | 20 25 |
| Frequency | 10 | 15 | 12 | 20 | 9 |

the sum of lower limits of the median class and modal class is 25.

Explanation:

| Class | Frequency | Cumulative Frequency |
| 0 5 | 10 | 10 |
| 5 10 | 15 | 25 |
| 10 15 | 12 | 37 |
| 15 20 | 20 | 57 |
| 20 25 | 9 | 66 |

From the table, $N/2 = 66/2 = 33$

Which **** in the interval 10 15.

Hence, lower limit of the median class is 10.

The highest frequency is 20, which **** in between the interval 15 20.

Hence, lower limit of modal class is 15.

Therefore, required sum is 10 + 15 = 25.

...