A grouped frequency table with class intervals of equal sizes using 250-270 (270 not included in this interval) as one of the class interval is constructed for the following data :
268, 220, 368, 258, 242, 310, 272, 342,
310, 290, 300, 320, 319, 304, 402, 318,
406, 292, 354, 278, 210, 240, 330, 316,
406, 215, 258, 236.
The frequency of the class 310-330 is:
a. 4
b. 5
c. 6
d. 7
Solution:
Let us arrange the data given in groups like 210-230, 230-250, 390-410
Class width will be 20
Let us arrange it in tabular form
Class Interval |
Tally marks |
Frequency |
210-230 |
||| |
3 |
230-250 |
||| |
3 |
250-270 |
||| |
3 |
270-290 |
|| |
2 |
290-310 |
|||| |
4 |
310-330 |
|||| | |
6 |
330-350 |
|| |
2 |
350-370 |
|| |
2 |
370-390 |
- |
0 |
390-410 |
||| |
3 |
Therefore, the frequency of the class 310-330 is 6.
✦ Try This: In the class intervals 10-20, 20-30, 30-40, 40-50 the number 40 is included in : a. 10-20, b. 30-40, c. all the intervals, d. 40-50
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 14
NCERT Exemplar Class 9 Maths Exercise 14.1 Problem 8
A grouped frequency table with class intervals of equal sizes using 250-270 (270 not included in this interval) as one of the class interval is constructed for the following data :268, 220, 368, 258, 242, 310, 272, 342, 310, 290, 300, 320, 319, 304, 402, 318, 406, 292, 354, 278, 210, 240, 330, 316, 406, 215, 258, 236. The frequency of the class 310-330 is: a. 4, b. 5, c. 6, d. 7
Summary:
A grouped frequency table with class intervals of equal sizes using 250-270 (270 not included in this interval) as one of the class interval is constructed for the following data : 268, 220, 368, 258, 242, 310, 272, 342, 310, 290, 300, 320, 319, 304, 402, 318, 406, 292, 354, 278, 210, 240, 330, 316, 406, 215, 258, 236. The frequency of the class 310-330 is 6
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