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question_answer1) The mean of n items is \[\bar{x}\]. If the first term is increased by 1, second by 2 and so on, then new mean is [DCE 1998]
question_answer2) The mean of the values 0, 1, 2,......,n having corresponding weight \[^{n}{{C}_{0}},{{\,}^{n}}{{C}_{1}},{{\,}^{n}}{{C}_{2}},........\,,{{\,}^{n}}{{C}_{n}}\] respectively is [AMU 1990; CET 1998]
question_answer3) Mean of 100 observations is 45. It was later found that two observations 19 and 31 were incorrectly recorded as 91 and 13. The correct mean is
question_answer4) The average of n numbers \[{{x}_{1}},\,{{x}_{2}},\,{{x}_{3}},\,......,\,{{x}_{n}}\] is M. If \[{{x}_{n}}\] is replaced by \[{x}'\], then new average is [DCE 2000]
question_answer5) The following data gives the distribution of height of students Height (in cm) 160 150 152 161 156 154 155 Number of students 12 8 4 4 3 3 7 The median of the distribution is [AMU 1994]
question_answer6) A pie chart is to be drawn for representing the following data Items of expenditure Number of families Education 150 Food and clothing 400 House rent 40 Electricity 250 Miscellaneous 160 The value of the central angle for food and clothing would be
question_answer7) The mean and S.D. of the marks of 200 candidates were found to be 40 and 15 respectively. Later, it was discovered that a score of 40 was wrongly read as 50. The correct mean and S.D. respectively are
question_answer8) Let r be the range and \[{{S}^{2}}=\frac{1}{n-1}\sum\limits_{i=1}^{n}{{{({{x}_{i}}-\bar{x})}^{2}}}\] be the S.D. of a set of observations \[{{x}_{1}},\,{{x}_{2}},\,.....{{x}_{n}}\], then
question_answer9) In a series of 2n observations, half of them equal to a and remaining half equal to ?a. If the standard deviation of the observations is 2, then |a| equals [AIEEE 2004]
question_answer10) The S.D. of a variate x is s. The S.D. of the variate \[\frac{ax+b}{c}\] where a, b, c are constant, is [Pb. CET 1996]
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