Practice30Create account

The mean of 25 observations is 36. It was later found that one observation of 48 had been entered as 84. Find the correct mean.

Class 9StatisticsStatistics and Probability
  • A37.44
  • B36
  • C35.44
  • D34.56

Step-by-Step Solution

Wrong total = . Correct total = 900 − 84 + 48 = 864, so the correct mean = . The mean must fall, because the value that was entered was too large.
Answer: D) 34.56

Key idea: Mean of ungrouped data

**Formula**: ̄ = (sum of observations) / (number of observations) = Σ.

**Example**: Marks of 5 students: 7, 8, 6, 9, 10.
Sum = 40, . Mean = 40/5 = 8.

**For a frequency distribution**:
̄ = Σᵢᵢ) / Σᵢ
Multiply each value by its frequency, sum, and divide by total frequency.

Example: marks 5, 7, 9 with frequencies 2, 3, 5.
Σ·2 + 7·3 + 9·5 = 10 + 21 + 45 = 76.
Σ. Mean = 76 / 10 = 7.6.

Master this chapter 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 Class 9 Statistics practice

How many modes does the data 3, 5, 3, 7, 5, 9, 11 have?In a frequency table with the continuous classes 10–20, 20–30 and 30–40, the observation…Find the median of: 33, 27, 41, 39, 25, 30.The marks out of 10 scored by 20 students are: 6, 7, 5, 6, 8, 7, 6, 9, 5, 6, 7, 8, 6, 5,…The mean weight of a group of 10 students is 60 kg and the mean weight of a second group…