Consider the data:
Class 65-85 85-105 105-125 125-145 145-165 165-185 185-205
Frequency 4 5 13 20 14 7 4
The difference of the upper limit of the median class and the lower limit of the modal class is
a. 0
b. 19
c. 20
d. 38
Solution:
The cumulative frequency table is
Class | Frequency | Cumulative Frequency |
65-85 | 4 | 4 |
85-105 | 5 | 9 |
105-125 | 13 | 22 |
125-145 | 20 | 42 |
145-165 | 14 | 56 |
165-185 | 7 | 63 |
185-205 | 4 | 67 |
We know that
N/2 = 67/2 = 33.5
So the median class=125-145
The upper limit is 145
Here is modal class is the class with maximum frequency
Modal class is 125-145
The lower limit is 125
Difference of upper and lower limit = 145 - 125 = 20
Therefore, the difference between the upper limit of the median class and the lower limit of the modal class is 20.
✦ Try This: Consider the data:
Class | 60-80 | 80-100 | 100-120 | 120-140 | 140-160 | 160-180 | 180-200 |
Frequency | 5 | 10 | 15 | 20 | 25 | 30 | 35 |
The difference of the upper limit of the median class and the lower limit of the modal class is
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14
NCERT Exemplar Class 10 Maths Exercise 13.1 Problem 9
Consider the data: Class 65-85 85-105 105-125 125-145 145-165 165-185 185-205 Frequency 4 5 13 20 14 7 4. The difference of the upper limit of the median class and the lower limit of the modal class is a. 0, b. 19, c. 20, d. 38
Summary:
Considering the data, the difference between the upper limit of the median class and the lower limit of the modal class is 20
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