HARD
11th ICSE
IMPORTANT
Earn 100

Find the mean, variance and standard deviation for the following data by using step deviation method:

Classes 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
Frequency 3 4 7 7 15 9 6 6 3

Important Questions on Statistics

HARD
11th ICSE
IMPORTANT

The weights of coffee in 70 jars are shown in the following table:

Weight (in grams) 200-201 201-202 202-203 203-204 204-205 205-206
Frequency 13 27 18 10 1 1

Determine variance and standard deviation of the above distribution.

MEDIUM
11th ICSE
IMPORTANT
The mean of 5 observations is 6 and the standard deviation is 2. If the three observations are 5,7 and 9, find the other two observations.
MEDIUM
11th ICSE
IMPORTANT
The mean and the variance of 5 observations are 4.4 and 8.24 respectively. If the three observations are 1,2 and 6, find the other two observations.
EASY
11th ICSE
IMPORTANT
The variance of 20 observations is 5. If each observation is multiplied by 2, find the new variance of the resulting observations.
MEDIUM
11th ICSE
IMPORTANT
While calculating the mean and variance of 10 readings, a student wrongly uses the reading 52 for the correct reading 25. He obtained the mean and variance as 45 and 16 respectively. Find the correct mean and variance.
EASY
11th ICSE
IMPORTANT
If the coefficient of variation of a distribution is 75 and standard deviation is 27, then what is the arithmetic mean?
EASY
11th ICSE
IMPORTANT
If the variance of monthly wages paid to workers by two firms A and B are 100 and 81 respectively and if the firms have same average monthly wages, then which firms shows greater variability in individual wages?
MEDIUM
11th ICSE
IMPORTANT

Two plants A and B of a factory show the following results about the number of workers and the wages paid to them:

  A B
Number of workers 5000 6000
 Average monthly wages  2500  2500
Variance of distribution of wages  81 100

In which plant, A or B is there greater variability in individual wages?