Explanation

To calculate the average (or mean) of a data set, you use the formula:

Average=Sum of all values/Number of values​

Given:

• The sum of all 10 values in the data set is 10.
• The number of values is 10.

Using the formula:

Average=10/10​=1

$$Last\; updated\; on\; 30\; Oct\; 2026$$

Explanation

Multiplying $1.96 times 3 = 5.88$, then applying it to 70 yields the interval from $64.12$ to $75.88$ (approximately $64.1–75.9$).

Additional Information:

Standard Error of Measurement (SEM): Used to construct confidence intervals around an individual's observed test score.

Confidence Interval: Estimates the range where a student's true score likely falls at a 95% confidence level.

Updated on 30-10-2026 by Muqadas

Explanation

Average of 10 numbers = 48

Total sum of 10 numbers = 48 * 10 = 480

Wrong number entered = 28

Correct number = 82

Difference = 82 - 28 = 54

So correct sum = 480 + 54 = 534

Correct average = 534 / 10 = 53.4

Last verified on 24-10-2026

Explanation

Total marks of 10 students = 10 × 80 = 800

Total marks of 15 students = 15 × 85 = 1275

Total marks of 5 new students = 1275 - 800 = 475

Last verified on 23-10-2026

Explanation

Mean of 6 numbers = 18

Sum of 6 numbers = 18 x 6 = 108

Add 25:

New sum = 108 + 25 = 133

New count = 7

New mean = 133 / 7 = 19

Last verified on 23-10-2026