Question
Download Solution PDFजर खालील माहितीचा माध्य 61 असेल, तर X ची किंमत काढा.
| xi | 55 | 60 | 70 | 95 |
| fi | 48 | X | 31 | 23 |
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
दिलेल्या माहितीचा माध्य = 61
माहिती सारणी:
| xi | 55 | 60 | 70 | 95 |
| fi | 48 | X | 31 | 23 |
वापरलेले सूत्र:
माध्य = Σ(fi x xi) / Σfi
गणना:
Σ(fi x xi) ची गणना करा:
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
आता,
Σfi = 48 + X + 31 + 23 = 102 + X
प्रश्नानुसार,
61 = (6995 + 60X) / (102 + X)
61 x (102 + X) = 6995 + 60X
6222 + 61X = 6995 + 60X
61X - 60X = 6995 - 6222
X = 773
म्हणूनच, X ची किंमत 773 आहे.
Last updated on Jun 16, 2025
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