Mathematics
Consider the following frequency distribution.
| x | Frequency | Cumulative frequency |
|---|---|---|
| 1 | 6 | 6 |
| 2 | 13 | a |
| 3 | b | 27 |
| 4 | 5 | c |
| 5 | 11 | d |
| 6 | e | 50 |
Which of the following combination is correct?
a = 13, c = 32, e = 9
b = 8, d = 43, e = 7
a = 19, c = 31, e = 17
b = 9, d = 38, a = 19
Answer
| x | Frequency | Cumulative frequency |
|---|---|---|
| 1 | 6 | 6 |
| 2 | 13 | a (6 + 13 = 19) |
| 3 | b | 27 (a + b) |
| 4 | 5 | c (27 + 5) |
| 5 | 11 | d (c + 11) |
| 6 | e | 50 (e + d) |
From above table,
a = 6 + 13 = 19
a + b = 27
⇒ 19 + b = 27
⇒ b = 27 - 19 = 8
c = 27 + 5 = 32
d = c + 11 = 32 + 11 = 43
50 = e + d
⇒ e = 50 - d
⇒ e = 50 - 43
⇒ e = 7
Hence option 2 is the correct option.
Related Questions
The difference between the class marks of classes 20 - 25 and 45 - 65 is :
30
32.5
35
37.5
The graphical representation of cumulative frequency distribution is called :
Bar chart
Frequency polygon
Histogram
Ogive
Consider the following statements:
(i) The classes of type 15 - 19, 20 - 24, 25 - 29 etc. are exclusive classes.
(ii) The classes of type 15 - 20, 20 - 25, 25 - 30 etc. are inclusive classes
Which of the above statements is/are correct?
(i) only
(ii) only
Both (i) and (ii)
Neither (i) nor (ii)
The class-mark of a class interval is 42. If the class-size is 10, then the upper and lower limits of the class are
47 and 37
47.5 and 37.5
46.5 and 36.5
46 and 36