JEE Main & Advanced Mathematics Statistics Question Bank

done Numerical Value Type Questions - Statistics Total Questions - 15

• question_answer1)
  5 students of a class have an average height \[150\text{ }cm\] and variance \[18\text{ }c{{m}^{2}}\]. A new student, whose height is \[156\text{ }cm,\] joined them. Then variance (in \[c{{m}^{2}}\]) of the height of these six students is
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• question_answer2)
  A data consists of n observations: \[{{x}_{1}},{{x}_{2}},.....,{{x}_{n}}.\] If \[\sum\limits_{i=1}^{n}{{{({{x}_{i}}+1)}^{2}}=9n}\] and \[\sum\limits_{i=1}^{n}{{{({{x}_{i}}-1)}^{2}}=5n}\] and the standard deviation of this data is \[\sqrt{a},\] then a is
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• question_answer3)
  If mean and standard deviation of 5 observations \[{{x}_{1}},{{x}_{2}},{{x}_{3}},{{x}_{4}},{{x}_{5}}\] are 10 and 3, respectively, then the variance of 6 observations \[{{x}_{1}},{{x}_{2}},.....,{{x}_{5}}\] and \[-50\] is equal to
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• question_answer4)
  In a class of 100 students there are 70 boys whose average marks in a subject are 75.If the average marks of the complete class is 72, then the average marks of the girls is
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• question_answer5)
  If in a frequency distribution, the mean and median are 21 and 22 respectively, then its mode is approximately
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• question_answer6)
  Suppose a population A has 100 observations 101, 102, .............. 200 and another population B has 100 observations 151, 152 ,................ 250. If \[{{V}_{A}}\] and \[{{V}_{B}}\] represent the variances of the two populations, respectively then \[\frac{{{V}_{A}}}{{{V}_{B}}}\] is
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• question_answer7)
  In an experiment with 15 observations on x, the following results were available \[\sum{{{x}^{2}}}=2830,\,\,\sum{x=170}\] One observation that was 20 was found to be wrong and was replaced by the correct value 30. The corrected variance is
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• question_answer8)
  If M. D. is 12, the value of S.D. will be
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• question_answer9)
  Variance of the numbers 3, 7, 10, 18, 22 is equal to
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• question_answer10)
  25% of the items of a data are less than 35 and 25% of the items are more than 75. Quartile Deviation of the data is
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• question_answer11)
  If the sum of the deviations of 50 observations from 30 is 50, then the mean of these observations is
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• question_answer12)
  The mean and the variance of five observations are 4 and 5.20, respectively. If three of the observations are 3,4 and 4; then the absolute value of the difference of the other two observations is
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• question_answer13)
  If both the mean and the standard deviation of 50 observations \[{{x}_{1}},{{x}_{2}},......,{{x}_{50}}\] are equal to 16, then the mean of \[{{({{x}_{1}}-4)}^{2}},\,{{({{x}_{2}}-4)}^{2}},......,{{({{x}_{50}}-4)}^{2}}\] is
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• question_answer14)
  Mean of 100 items is 49. It was discovered that three items which should have been 60, 70, 80 were wrongly read as 40, 20, 50 respectively. The correct mean is
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• question_answer15)
  If the median of is \[\frac{x}{5},x,\frac{x}{4},\frac{x}{2},\frac{x}{3}\,\,\left( x>0 \right)\] is 8, then the value of x is
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