Mean = (5 + 15 + 25 + x) / 4 = 20. Solving gives x = 30.

Mean = (5 + 15 + x) / 3 = 10. Therefore, 20 + x = 30, so x = 10.

Mean = (6 + 8 + 10 + x) / 4 = 9. Therefore, 24 + x = 36, so x = 12.

Mean = (7 + 9 + 11 + 13 + x) / 5 = 10. Solving gives x = 5.

Mean = (7 + 9 + 11 + 13 + x) / 5 = 10.\n\n40 + x = 50\n\nx = 50 - 40 = 10.

Mean = (7 + 9 + 11 + 13) / 4 = 40 / 4 = 10.

Mean = (8 + 12 + 16 + 20) / 4 = 56 / 4 = 14.

Mean = (8 + 12 + 16 + x) / 4 = 14. Therefore, 36 + x = 56, so x = 20.

Standard deviation is the square root of variance. Therefore, SD = √4 = 2.

Let the total number of items be n. Then, 15n - x = 12(n - 1). Solving gives x = 24.

Increasing one number by 5 increases the total sum by 5. If there are n numbers, the mean increases by 5/n.

The original sum of the numbers is 30 * 10 = 300. Adding 50 gives a new sum of 300 + 50 = 350. The new mean is 350 / 11 = 31.82, which rounds to 32.

Let the integers be x, x+1, x+2, x+3, x+4. Mean = (5x + 10) / 5 = 12. Solving gives x = 10.

Let the sum of the five numbers be S. Then, S/5 = 20, so S = 100. Let the removed number be x. The new sum is S - x, and the new mean is (S - x)/4 = 18. Therefore, 100 - x = 72, which gives x = 28.

The first four prime numbers are 2, 3, 5, and 7. Mean = (2 + 3 + 5 + 7) / 4 = 17 / 4 = 4.25.

Mean = (4 + 8 + 10 + 12 + x) / 5 = 10. Solving gives x = 14.

Mean = (4 + 8 + 12 + x) / 4 = 10. Therefore, 4 + 8 + 12 + x = 40. So, x = 40 - 24 = 16.

Let the integers be x, x+1, x+2. Mean = (x + (x+1) + (x+2)) / 3 = 20. Thus, 3x + 3 = 60, so x = 19.

Total of three numbers = 3 * 12 = 36. Sum of the other two numbers = 36 - 8 = 28. Mean of the other two = 28 / 2 = 14.

New mean = (15*3 + 5) / 3 = 20/3 = 16.67.

Let the other two numbers be a and b. Then, (10 + a + b) / 3 = 15. Solving gives (a + b) = 35, so Mean of a and b = 35 / 2 = 17.5.

Let the three numbers be a, b, c. Then, (a + b + 20) / 3 = 30. Thus, a + b = 90, and the mean of a and b = 90 / 2 = 45.

For the median to be 8, x must be less than or equal to 8. The only value that satisfies this is x = 6.

Median = 9 (middle value of the ordered data set)

Arranging the data: 3, 7, 9, 15, 20. Median = 9 (middle value).

The Mahatma Gandhi National Rural Employment Guarantee Act (MGNREGA) provides 100 days of guaranteed wage employment in a financial year.

The vertex of the parabola occurs at x = -b/(2a) = 4/2 = 2. The minimum value is f(2) = 2^2 - 4*2 + 6 = 2.

The Mohorovičić discontinuity, or Moho, separates the Earth's crust from the underlying mantle.

The National Health Mission (NHM) was launched in 2010 to improve healthcare delivery across the country.

The National Rural Livelihood Mission focuses on promoting self-employment and organizing rural poor into self-help groups.