enEnglishguગુજરાતી
JEE Mains · Maths · STD 11 - 13. statistics
The mean of a data set consisting of \(20\) observations is \(40\). If one observation \(53\) was wrongly recorded as \(33\), then the correct mean will be
- A \(41\)
- B \(49\)
- C \(40.5\)
- D \(42.5\)
Answer & Solution
Correct Answer
(A) \(41\)
Step-by-step Solution
Detailed explanation
Correct mean \( = \frac{{20 \times 40 - 33 + 55}}{{20}} = 41.1\) Nearest option : \((a) 41\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- Two number \(\mathrm{k}_1\) and \(\mathrm{k}_2\) are randomly chosen from the set of natural numbers. Then, the probability that the value of \(\mathrm{i}^{\mathrm{k}_1}+\mathrm{i}^{\mathrm{k}_2},(\mathrm{i}=\sqrt{-1})\) is non-zero, equalsJEE Mains 2025 Medium
- Let \(\mathrm{f}: N \rightarrow N\) be a function such that \(\mathrm{f}(\mathrm{m}+\mathrm{n})=\mathrm{f}(\mathrm{m})+\mathrm{f}(\mathrm{n})\) for every \(\mathrm{m}, \mathrm{n} \in N\). If \(\mathrm{f}(6)=18\) then \(\mathrm{f}(2) \cdot \mathrm{f}(3)\) is equal to :JEE Mains 2021 Hard
- The sum of the first ten terms of an A.P. is \(160\) and the sum of the first two terms of a G.P. is \(8\). If the first term of the A.P. is equal to the common ratio of the G.P. and the first term of the G.P. is equal to common difference of the A.P., then the sum of all possible values of the first term of the G.P. is:JEE Mains 2026 Hard
- If the solution curve of the differential equation \(\left(y-2 \log _e x\right) d x+\left(x \log _e x^2\right) d y=0, x > 1\) passes through the points \(\left(e, \frac{4}{3}\right)\) and \(\left(e^4, \alpha\right)\), then \(\alpha\) is equal to \(................\).JEE Mains 2023 Hard
- If a tangent to the circle \(x^2 + y^2 = 1\) intersects the coordinate axes at distinct points \(P\) and \(Q,\) then the locus of the mid-point of \(PQ\) isJEE Mains 2019 Hard
- Let the vectors \(\overrightarrow{ u }_1=\hat{ i }+\hat{ j }+ a \hat{ k }, \overrightarrow{ u }_2=\hat{ i }+ b \hat{ j }+\hat{ k }\) and \(\overrightarrow{ u }_3=c \hat{ i }+\hat{ j }+\hat{ k }\) be coplanar. If the vectors \(\overrightarrow{ v }_1=(a+b) \hat{i}+c \hat{j}+c \hat{k}, \quad \overrightarrow{ v }_2=a \hat{i}+(b+c) \hat{j}+a \hat{k} \quad\) and \(\overrightarrow{ v }_3=b \hat{ i }+ b \hat{ j }+( c + a ) \hat{ k }\) are also coplanar, then \(6( a +\) \(b + c )\) is equal to \(..............\).JEE Mains 2023 Hard
More PYQs from JEE Mains
- Let \(A=\left(\begin{array}{ccc}1 & 0 & 0 \\ 0 & 4 & -1 \\ 0 & 12 & -3\end{array}\right)\). Then the sum of the diagonal elements of the matrix \(( A + I )^{11}\) is equal to:JEE Mains 2023 Hard
- Slope of a line passing through \(P(2, 3)\) and intersecting the line, \(x + y = 7\) at a distance of \(4\) units from \(P,\) isJEE Mains 2019 Hard
- If \(n \geq 2\) is a positive integer, then the sum of the series \({ }^{ n +1} C _{2}+2\left({ }^{2} C _{2}+{ }^{3} C _{2}+{ }^{4} C _{2}+\ldots+{ }^{ n } C _{2}\right)\) is ...... .JEE Mains 2021 Hard
- In an examination, there are \(5\) multiple choice questions with \(3\) choices, out of which exactly one is correct There are \(3\) marks for each correct answer, \(-2\) marks for each wrong answer and \(0\) mark if the question is not attempted. Then, the number of ways a student appearing in the examination gets \(5\) marks is. . . . . ... . .JEE Mains 2022 Hard
- For the two circles \(x^2 + y^2 = 16\) and \(x^2 + y^2 -2y = 0,\) there is/areJEE Mains 2014 Hard
- If \(\alpha ,\beta \ne 0\) and \(f\left( n \right) = {\alpha ^n} + {\beta ^n}\) and \(\left| {\begin{array}{*{20}{c}}3&{1 + f\left( 1 \right)}&{1 + f\left( 2 \right)}\\{1 + f\left( 1 \right)}&{1 + f\left( 2 \right)}&{1 + f\left( 3 \right)}\\{1 + f\left( 2 \right)}&{1 + f\left( 3 \right)}&{1 + f\left( 4 \right)}\end{array}} \right|\; = K{\left( {1 - \alpha } \right)^2}\) \({\left( {1 - \beta } \right)^2}{\left( {\alpha - \beta } \right)^2}\) ,then \(K=\) . . . . . .JEE Mains 2014 Hard