एक बारंबारता बंटन में नौ वर्गों में से प्रत्येक की चौड़ाई 2.5 है... | Agrigyan

Q.2

ICAR AIEEA PG 2024 - Statistical Sciences (Q.29)

MCQ (Single Correct) +4 −1

The width of each of nine classes in a frequency distribution is 2.5 and the lower class boundary of the lowest class is 10.6. Which one of the following is the upper class boundary of the highest class?

एक बारंबारता बंटन में नौ वर्गों में से प्रत्येक की चौड़ाई 2.5 है और सबसे निचले वर्ग की निचली वर्ग सीमा 10.6 है।

निम्नलिखित में से कौन-सी उच्चतम वर्ग की ऊपरी वर्ग सीमा (Upper class boundary) है?

35.6 35.6 33.1 33.1 Correct 30.6 30.6 28.1 28.1

Calculation:
Number of contiguous classes ($k$) = 9
Width of each class ($h$) = 2.5
Total span/range covered by the 9 classes = $k \times h = 9 \times 2.5 = 22.5$
Lower class boundary of the lowest (1st) class = 10.6
Upper class boundary of the highest (9th) class:

$$\text{Upper Boundary} = \text{Lower Boundary of Lowest Class} + \text{Total Span} = 10.6 + 22.5 = 33.1$$

Thus, the upper boundary of the highest class is 33.1.

गणना:
वर्गों की कुल संख्या = 9
प्रत्येक वर्ग की चौड़ाई = 2.5
9 वर्गों का कुल विस्तार = $9 \times 2.5 = 22.5$
सबसे निचले वर्ग की निचली सीमा = 10.6
उच्चतम वर्ग की ऊपरी सीमा:

$$\text{उच्चतम ऊपरी सीमा} = 10.6 + 22.5 = 33.1$$

अतः सही उत्तर 33.1 (विकल्प 2) है।

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