The mean and variance of the marks obtained by the students in a test are and respectively. Later, the marks of one of the students is increased from to . If the new mean of the marks is , then their new variance is equal to:
- A
- B
- C
- D
MCQMediumJEE Main 2023 · 25 January, Shift 1Measures of Dispersion
Mathematics Question from JEE Main 2023 · 25 January, Shift 1
Answer & step-by-step solution
Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.
Practice more Measures of Dispersion questions
Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.
Related questions
- If the mean deviation about the median of the numbers k, 2k, 3k, …, 1000k is 500, then k² is equal toMedium · JEE 2026
- Let the mean and variance of 8 numbers -10, -7, -1, x, y, 9, 2, 16 be 7/2 and 293/4, respectively. Then the…Medium · JEE 2026
- Let X={x∈ℕ:1≤ x≤19} and for some a,b∈ℝ, Y={ax+b:x∈ X}. If the mean and variance of the elements of Y are 30…Medium · JEE 2026
- The mean and variance of 10 observations are 9 and 34.2, respectively. If 8 of these observations are 2, 3,…Medium · JEE 2026
- The variance of the numbers 8, 21, 34, 47, …, 320, is:Medium · JEE 2025
- For a statistical data x₁, x₂, …, x₁₀ of 10 values, a student obtained the mean as 5.5 and Σ_(i=1)¹⁰ xᵢ² =…Easy · JEE 2025