1. In a class of 50 students 120 studen Play football, and 16 Students play hocky. sos found that 10 students play both the games. Find the number of students Who ple neither

Choose the correct answer : The difference between the greatest value and the smallest value in a set of individuals is called \( \qquad \) (a) the range (b) the arithonatic mean (c) the median (d) the standard denies The positive square root of the average of squares of deviations of the valum from their mean is called \( \qquad \) (a) the range (b) the arithmetic meas (d) the median The mean of the values : \( 7,3,6,9 \) and 5 equals. \( \qquad \) (a) 3 (b) 6 (c) 4 (d) 12 The most repeated value in a set of values represents (a) the median (b) the range (c) the mode (d) the mean If the mean of numbers: \( 3 k-3,3 k-1,2 k+1,2 k+3 \) and \( 2 k+5 \) is 1 then \( \mathbf{k}= \) \( \qquad \) (a) -5 (b) 10 (c) 5 (d) \( \frac{1}{5} \) If the range of the values \( 2,7, a, 6 \) is 8 where \( a>0 \), then \( a= \) \( \qquad \) (a) 4 (b) 9 (c) -1 (d) 10 Which of the following values of (a) makes the range of the numbers : 53 , \( 58,57,60 \) and 55 equal to 9 ? (a) 63 (b) 61 (c) 51 (d) 50 Sum of values Number of these values \( \qquad \) (a) range (b) slandered deviation (c) mean (d) mode The most common measure of dispersion and most accurate is the \( \qquad \) (a) range (b) mean (C) the sumbard deviation (d) median If all individuals are equal in values, then \( \qquad \) (a) \( \bar{x}-\bar{x}>0 \) (b) \( \mathrm{x}-\overline{\mathrm{x}}<0 \) (c) \( \sigma=0 \) (d) \( \bar{x}=0 \) If \( \Sigma(x-\bar{x})^{2}=48 \) of a set of values and the number of these values \( =12 \) then \( \sigma= \) \( \qquad \) (a) -4 (b) -2 (c) 2 (d) 4

\( \left[\begin{array}{c|c|c|c|c|c|}\text { CI } & 10-20 & 20-30 & 30-40 & 40-50 & 50-60 \\ \hline \text { Nobt student } & 4 & 5 & 3 & 2 & 1\end{array}\right. \)

If the variance of \( 2,5,7,10 \) and 14 is 17.04 then the variance of \( 6,15,21,30 \) and 42 is: \( \begin{array}{ll}\text { (a) } 17.04 & \text { (b) } 51.12 \\ \text { (c) } 153.36 & \text { (d) None of these }\end{array} \)

Q.104 HWV \( 60 \% \) of the students in a school are boys and the rest are girls. If \( 20 \% \) boys fail in the examination and \( 65 \% \) girls pass, then find the percentage of total number of students who passed.

320 students like rap music. 395 students like rock music. 295 students like heavy metal music. 280 students like both rap music and rock music. 190 students like both rap music and heavy metal music. 245 students like both rock music and heavy metal music 160 students like all three. How many students: a. like exactly two of the three types of music? b. like only rock music?