Question
Download Solution PDFகீழே கொடுக்கப்பட்டுள்ள தரவுகளின் சராசரி 61 எனில், X இன் மதிப்பு என்ன?
| xi | 55 | 60 | 70 | 95 |
| fi | 48 | X | 31 | 23 |
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது:
கொடுக்கப்பட்ட தரவுகளின் சராசரி = 61
தரவு அட்டவணை:
| xi | 55 | 60 | 70 | 95 |
| fi | 48 | X | 31 | 23 |
பயன்படுத்தப்பட்ட சூத்திரம்:
சராசரி = Σ(fi x xi) / Σfi
கணக்கீடு:
Σ(fi x xi) ஐக் கணக்கிடு:
55 x 48 = 2640
60 x X = 60X
70 x 31 = 2170
95 x 23 = 2185
Σ(fi x xi) = 2640 + 60X + 2170 + 2185 = 6995 + 60X
இப்போது,
Σfi = 48 + X + 31 + 23 = 102 + X
வினாப்படி,
61 = (6995 + 60X) / (102 + X)
61 x (102 + X) = 6995 + 60X
6222 + 61X = 6995 + 60X
61X - 60X = 6995 - 6222
X = 773
∴ X இன் மதிப்பு 773.
Last updated on Jun 16, 2025
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