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Home » 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 A0 (B) 19 (C) 20 (D) 38
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 A0 (B) 19 (C) 20 (D) 38
CBSE | Class 10 | Exercise 13.1 | Maths | NCERT Exemplar | Statistics and Probability
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 A0 (B) 19 (C) 20 (D) 38

(C) 20

Clarification:

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

Here, N/2 = 67/2 = 33.5 which lies in the span 125 – 145.

Subsequently, furthest constraint of middle class is 145.

Here, we see that the most noteworthy recurrence is 20 which lies in 125 – 145.

Consequently, the lower furthest reaches of modular class is 125.

∴ Required contrast = Upper constraint of middle class – Lower breaking point of modular class

    \[=\text{ }145\text{ }\text{ }125\text{ }=\text{ }20\]

Consequently, alternative (C) is right

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