If the mode of the data set {a, a + 2, a + 4, a + 6, a + 6, a + 6, a + 8} is 26, find a.
20
To solve this problem, we need to determine the value of \(a\) such that the mode of the data set \(\{a, a + 2, a + 4, a + 6, a + 6, a + 6, a + 8\}\) is 26.
The mode of a data set is the value that appears most frequently. In the given data set, the number \(a + 6\) appears three times, making it the mode.
Given that the mode is 26, we set up the equation:
\(a + 6 = 26\)
Now, solve for \(a\):
\(a = 26 - 6\)
\(a = 20\)
Thus, the value of \(a\) is 20. Therefore, the correct answer is 20.
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For data -1, 1, 4, 3, 8, 12, 17, 19, 9, 11; if M is the median of first 5 observations and N is the median of last five observations, then what is the value of 4M - N ?
Let P, Q, R represent mean, median and mode. If for some distribution \(5 P=4 Q=\frac{R}{2}\) then what is \(\frac{P+Q}{2 P+0.7 R}\) equal to ?
