The possible values of \(x\) in the set \(\{1, 5, 13\}\) for which the mean of eight observations \(5, 8, 3x + 2, 15, 27, 29, 36, 5x - 2\) equals their median are
Question and options
The possible values of in the set for which the mean of eight observations equals their median are
- only 1
- 5 and 13
- only 13
- only 5
Answer and explanation
Correct answer: B - 5 and 13
x=1: data 5,5,3,8,15,27,29,36 -> mean 16, median 11.5 (no). x=5: 5,8,15,17,23,27,29,36 -> mean 20, median (17+23)/2 = 20 (yes). x=13: 5,8,15,27,29,36,41,63 -> mean 28, median 28 (yes). So 5 and 13.
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IPMAT Indore
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