Question

। वर्ग अन्तराल 90-100 में निम्न वर्ग सीमा है -
(a) 100
(c) 95
(b) 90
(d) 80​

Answer 1

प्रश्न :- वर्ग अन्तराल 90-100 में निम्न वर्ग सीमा है -

(a) 100

(c) 95

(b) 90

(d) 80

उतर :- (b) 90

व्याख्या :-

हम जानते है कि,

• जब आँकड़े बड़े होते हैं, तो उन्हें समूहों में व्यवस्थित किया जा सकता है तथा प्रत्येक समूह एक वर्ग अंतराल या वर्ग कहलाता है ।
• किसी वर्ग अंतराल का ऊपर का मान उस वर्ग अंतराल की ऊपरी वर्ग सीमा कहलाता है
• उसका नीचे का मान उसकी निम्न वर्ग सीमा कहलाता है ।
• किसी वर्ग की ऊपरी वर्ग सीमा और निम्न वर्ग सीमा का अंतर उस वर्ग की माप, साइज या चौड़ाई कहलाता है ।

अत,

• ऊपरी वर्ग सीमा = 100
• निम्न वर्ग सीमा = 90 .

इसलिए, वर्ग अन्तराल 90 - 100 में निम्न वर्ग सीमा 90 है l

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The lower class boundary for the class 90 - 100

(a) 100

(c) 95

(b) 90

(d) 80

CONCEPT TO BE IMPLEMENTED

CLASS INTERVAL

When the number of sample values are large in number and are in wide range, then the whole data is divided in a number of several groups according to the size of the sample. Each of these groups, made as above, is known as class interval

CLASS BOUNDARY

When class intervals are such a type that the upper class limit of any class is not equal to lower class limit of successive class then to get any continuous graphical representation of the data it is sometimes required to rearrange the class limits in such a way that the upper class limit of any class coincides with the lower class limit of next class. Then these class limits are called class boundaries. The lower and upper ends of any class are called lower and upper class boundaries respectively.

CLASS LENGTH

Length of the class interval of an class is defined to be the difference between the lower and upper class boundaries ( not class limits) of that particular class interval.

Class length = Upper Class boundary - Lower class boundary

EVALUATION

Here the given class interval 90 - 100

Upper Class boundary = 100

Lower class boundary = 90

FINAL ANSWER

Hence the correct option is (b) 90

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