मराठी

Consider the Following Frequency Distribution : the Upper Limit of the Median Class is - Mathematics

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प्रश्न

Consider the following frequency distribution :

Class: 0-5      6-11   12-17  18-23   24-29
Frequency:   13 10 15 8 11

The upper limit of the median class is 

पर्याय

  • 17

  •   17.5   

  • 18

  • 18.5

MCQ

उत्तर

The given classes in the table are non-continuous. So, we first make the classes continuous by adding 0.5 to the upper limit and subtracting 0.5 from the lower limit in each class. 

Class Frequency Cumulative
Frequency
0.5–5.5 13 13
5.5–11.5 10 23
11.5–17.5 15 38
17.5–23.5 8 46
23.5–29.5 11 57

Now, from the table we see that N = 57.
So, 

\[\frac{N}{2} = \frac{57}{2} = 28 . 5\]

28.5 lies in the class 11.5–17.5.
The upper limit of the interval 11.5–17.5 is 17.5. 
Hence, the correct answer is option (b).

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पाठ 15: Statistics - Exercise 15.8 [पृष्ठ ६९]

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आरडी शर्मा Mathematics [English] Class 10
पाठ 15 Statistics
Exercise 15.8 | Q 43 | पृष्ठ ६९

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