Practice30Create account

Nine observations have mean 20 and variance 10. A tenth observation equal to 20 is added. What is the new variance?

Competition practiceStatistics
  • A10
  • B11
  • C8.1
  • D9

Step-by-Step Solution

The mean stays 20. The sum of squared deviations stays , now shared among 10 values: . Adding a value at the mean lowers the variance.
Answer: D) 9

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Statistics practice questions

More Statistics practice

What is the variance of 25 consecutive multiples of 3, such as 3, 6, 9, …, 75?Find the mean deviation about the mean of the distribution x = 2, 4, 6, 8, 10 with…Two numbers have a mean of 15 and a standard deviation of 4 (divisor n). What is their…The histogram shows the scores of 26 players in a fitness test. Using class marks, find…Find the variance of the 11 numbers 7, 11, 15, …, 47 (they go up in steps of 4).