Question
Download Solution PDFFind the value of ‘n’ if the mean of the set of the numbers 8, 5, n, 10, 15, 21 is given as 11.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
The mean (or average) of a number of observations is the sum of the values of all the observations divided by the total number of observations. It is denoted by the symbol \(\bar x\), read as ‘x bar’.
Mean \(\rm \bar x = \frac{{Sum\;of\;all\;the\;observations}}{{Total\;number\;of\;observations}}\)
CALCULATION:
Given set of number is 8, 5, n, 10, 15, 21.
So \(\rm \bar x = \frac{{Sum\;of\;all\;the\;observations}}{{Total\;number\;of\;observations}} = 11\)
∴ \(11 = \frac{{8\; + \;5\; + \;n\; +\; 10\; + \;15\; + \;21}}{6}\) ⇒ n = 7
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