(70 प्रेक्षणों के प्रदत्त आँकड़ों के लिए "कम के लिए तोरण" तथा<br />"अधिक के लिए तोरण" बिंदु (20.5, 35) पर प्रतिच्छेदित करते हैं, तो<br />आँकड़ों का माध्य ज्ञात कीजिए।
Answers
Given : (70 प्रेक्षणों के प्रदत्त आँकड़ों के लिए "कम के लिए तोरण" तथा "अधिक के लिए तोरण" बिंदु (20.5, 35) पर प्रतिच्छेदित करते हैं,
Less than O give and More than Ogive of 70 datas intersects at ( 20.5 , 35)
To Find : आँकड़ों का माध्य ज्ञात कीजिए।
Median of the data
Solution:
x - axis generally show the Values
y - axis shows frequency
Median is the x value in intersection point
y axis show the 50% frequency at the median
35 = 70/2 hence 50 %
less than ogive and more than ogive intersect each other at 50% frequency
Hence 20.5 is the median
35 shows 50% cf hence total frequency = 70
Median of given data is 20.5
The less than ogive curve gives cumulative frequency (probability) for x ≤ a.
The more than ogive curve gives cumulative frequency (probability) for x ≥ a.
cumulative frequency will be 50% of the total at intersection of the more than ogive and less than ogive
which is Median
As we know that Median is middle data when data is arranged ascending/descending
so cumulative frequency will be 50% at Median
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Step-by-step explanation:
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