91Ó°ÊÓ

The mode of the data \(6,4,3,6,4,3,4,6,5\) and \(x\) can be (1) only 5 (2) both 4 and 6 (3) both 3 and 6 (4) 3,4 or 6

The average weight of 55 students is \(55 \mathrm{~kg}\) and the average weight of another 45 students is \(45 \mathrm{~kg}\). Find the average weight of all the students. (1) \(48 \mathrm{~kg}\) (2) \(50 \mathrm{~kg}\) (3) \(50.5 \mathrm{~kg}\) (4) \(52.25 \mathrm{~kg}\)

The heights of 31 students in a class are given below. $$ \begin{array}{|l|c|c|c|c|c|c|c|} \hline \text { Height (in cm) } & 126 & 127 & 128 & 129 & 130 & 131 & 132 \\ \hline \begin{array}{l} \text { Number of } \\ \text { Students } \end{array} & 7 & 3 & 4 & 2 & 5 & 6 & 4 \\ \hline \end{array} $$ Find the median of the above frequency distribution. (1) 129 (2) 130 (3) 128 (4) 131

The variance of \(6 \mathrm{x}_{\mathrm{i}}+3\) is 30 , then find standard deviation of \(\mathrm{x}\) (1) \(\frac{5}{\sqrt{6}}\) (2) \(\sqrt{\frac{5}{6}}\) (3) 30 (4) \(\sqrt{30}\)

If \(\mathrm{A}=55 \cdot 5, \mathrm{~N}=100, \mathrm{C}=20\) and \(\sum \mathrm{f} \mathrm{d}_{\mathrm{i}}=60\), then find the mean from the given data. (1) \(67.5\) (2) \(57.5\) (3) \(77.5\) (4) \(47.5\)

Find the mean of the quartiles \(\mathrm{Q}_{1}, \mathrm{Q}_{2}\) and \(\mathrm{Q}_{3}\) of the data \(5,9,8,12,7,13,10,14\) (1) 9 (2) 10 (3) \(9.5\) (4) \(11.5\)

Find the arithmetic mean of the series \(1,3,5, \ldots \ldots \ldots(2 \mathrm{n}-1) .\) (1) \(\frac{2 \mathrm{n}-1}{\mathrm{n}}\) (2) \(\frac{2 \mathrm{n}+1}{\mathrm{n}}\) (3) \(\mathrm{n}\) (4) \(\mathrm{n}+2\)

The mean height of 25 boys in a class is \(150 \mathrm{~cm}\), and the mean height of 35 girls in the same class is \(145 \mathrm{~cm}\). The combined mean height of 60 students in the class is (approximately). (1) 143 (2) 146 (3) 147 (4) 145

The sum of 15 observations of a data is \((434+\mathrm{x})\). If the mean of the data is \(\mathrm{x}\), then find \(\mathrm{x}\). (1) 25 (2) 27 (3) 31 (4) 33