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In Mathematics / High School | 2025-07-04

(b) The mean of the following data is 15. What is the value of [tex]$A$[/tex]?

| [tex]$x$[/tex] | 5 | [tex]$A+2$[/tex] | 15 | 20 | 25 |
|---|---|---|---|---|---|
| [tex]$f$[/tex] | 6 | A | 6 | 10 | 5 |

Asked by bashyalmanshi

Answer (1)

Mean :
→ (5 . 6 + (A+2)(A) + 15 . 6 + 20 . 10 + 25 . 5)/(6 + A + 6 + 10 + 5) = 15
→ (30 + A² + 2A + 90 + 200 + 125)/(27 + A) = 15
→ (445 + A² + 2A) = 15(27 + A)
→ 445 + A² + 2A = 405 + 15A
→ A² - 13A + 40 = 0
→ (A - 8)(A - 5) = 0
A = 8 V A = 5
The value of A are 8 and 5.
Subject : Mathematics
Grade : 8
Chapter : Statistics
#LutfiproTeam ;

Answered by lutfiproteam | 2025-07-04

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