Statistics & Linear Programming7 questions7 PYQ

Statistics & Linear Programming — JEE Maths Practice Questions & Solutions

7 questions on Statistics & Linear Programming with full step-by-step solutions, including past-year (PYQ) problems. Free to practice.

mediumPYQ · JEE Main 2026
A data consists of 2020 observations x1,x2,…,x20x_1,x_2,\ldots,x_{20}. If ∑i=120(xi+5)2=2500\displaystyle\sum_{i=1}^{20}(x_i+5)^2=2500 and ∑i=120(xi−5)2=100\displaystyle\sum_{i=1}^{20}(x_i-5)^2=100, then the ratio of mean to standard deviation of this data is
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mediumPYQ · JEE Main 2026
The mean and variance of nn observations are 88 and 1616 respectively. If the sum of the first (n−1)(n-1) observations is 4848 and the sum of squares of the first (n−1)(n-1) observations is 496496, then the value of nn is
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mediumPYQ · JEE Main 2026
If the mean of the data with classes 55–10,1010, 10–15,1515, 15–20,2020, 20–25,2525, 25–30,3030, 30–3535 and frequencies 2,k,28,54,k+1,52, k, 28, 54, k+1, 5 is 2121, then kk is one of the roots of the equation
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mediumPYQ · JEE Main 2026
For 10 observations x1,x2,…,x10x_1,x_2,\ldots,x_{10}, if ∑i=110(xi+2)2=180\displaystyle\sum_{i=1}^{10}(x_i+2)^2=180 and ∑i=110(xi−1)2=90\displaystyle\sum_{i=1}^{10}(x_i-1)^2=90, then their standard deviation is
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mediumPYQ · JEE Main 2026
Suppose that the mean and median of the non-negative numbers 21,8,17,a,51,103,b,13,6721,8,17,a,51,103,b,13,67 (with a>ba>b) are 4040 and 2121 respectively. If the mean deviation about the median is 2626, then 2a2a is equal to
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mediumPYQ · JEE Main 2026
A variable XX takes values 0,0,2,6,12,20,…,n(n−1)0, 0, 2, 6, 12, 20, \ldots, n(n-1) with frequencies (n0),(n1),(n2),…,(nn)\binom{n}{0}, \binom{n}{1}, \binom{n}{2}, \ldots, \binom{n}{n} respectively. If the mean of this data is 60, then its median is:
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easyPYQ · JEE Main 2026
The mean deviation about the mean for the data xi:5,7,9,10,12,15x_i:5,7,9,10,12,15 with frequencies fi:8,6,2,2,2,6f_i:8,6,2,2,2,6 is
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