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If the arithmetic mean of `7,\ 5,\ 13 ,\ x\ a n d\ 9\ i s\ 10 ,` then the value of `x` is 10 (b) 12 (c) 14 (d) 16

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Given:
Mean `= (7+5+13+x+9)/5`
`⇒10=(34+x)/5`
`⇒50=34+x`
`⇒x=16`
Option (d) is correct.
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