Question
(a) What will you do under following situation to calculate mode when:
(i) class intervals are inclusive,
(ii) when class intervals are unequal.
(b) Calculate mode from the following frequency distribution:
|
Class Interval |
20-24 |
25-29 |
30-34 |
35-39 |
40-44 |
45-49 |
50-54 |
55-59 |
|
Frequency |
3 |
5 |
10 |
20 |
12 |
6 |
3 |
1 |
Solution
(a) (i) If class interval is inclusive, convert it in exclusive class interval for calculating mode.
(ii) When class intervals are unequal then make them equal for calculating mode.
(b) Converted Frequency Distribution:
|
Class Interval |
19.5-24.5 |
24.5-29.5 |
29.5-34.5 |
34.5-39.5 |
39.5-44.5 |
44.5-49.5 |
49.5-54 |
554.5-59.5 |
|
Frequency |
3 |
5 |
10 |
20 |
12 |
6 |
3 |
1 |
By inspection we come to know that Modal Class is 34.5-39.5 as it has highest frequency.
