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Statistics and Probability — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSStatistics and Probability4 Marks
Question
Convert the given frequency distribution into a continuous grouped frequency distribution:
Class interval
Frequency
150-153
154-157
158-161
162-165
166-169
170-173
7
7
15
40
5
6
In which intervals would 153.5 and 157.5 be included?
✓

Answer

It is clear that, the given table is in inclusive (discontinuous) form. So, we first convert it into exclusive form.
Now, consider the classes 150 - 153, 154 - 157 Lower limit of 154 - 157 = 154 and upper limit of 150-153 = 153
Required difference = 154 - 153 = 1
So, half the difference $=\frac{1}{2}=0.5$
So, we subtract 0.5 from each lower limit and add 0.5 to each upper limit.
The table for continuous grouped frequency distribution is given below:
Class interval
Frequency
149.5-153.5
153.5-157.5
157.5-161.5
161.5-165.5
165.5-169.5
169.5-173.5
7
7
15
10
5
6
Thus, 153.5 and 157.5 would use in the class intervals 153.5-157.5 and 157.5-161.5, respectively.

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