EASY
Earn 100

Find the harmonic mean of the following distribution of data 

 Dividend yield  (percent) 2-66-1010-14 Number of companies 101224

Important Questions on Measures of Central Tendency

EASY
A factory is operating in two shifts, day and night, with 70 and 30 workers, respectively.If per day mean wage of the day shift workers is, 54 and per day mean wage of all the workers is 60, then per day mean wage of the night shift workers (in ) is :
MEDIUM
The median of all 4- digit numbers that are divisible by 7 is
MEDIUM
Mean of 100 items is 49. It was discovered that three items which should have been 60, 70, 80 were wrongly read as 40, 20, 50 respectively. The correct mean is
MEDIUM

In a mathematics test given to 15 students, the following marks (out of 100) are recorded:

41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60

Find the mean, median and mode of this data.

EASY
The following number of goals was scored by a team in a series of 10 matches: 2, 3, 4, 5, 0, 1, 3, 3, 4, 3. Find the mean, median and mode of these scores.
EASY
If mode of a data is 45, mean is 27, then median is:
MEDIUM

The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median, mean and mode of the data and compare them.

Monthly consumption (in units) Number of consumers
65 - 85 4
85 - 105 5
105 - 125 13
125 - 145 20
145 - 165 14
165 - 185 8
185 - 205 4
EASY
The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x. 29, 32, 48, 50, x, x+2, 72, 78, 84, 95
MEDIUM
The mean income of a group of persons is Rs.400. Another group of persons has mean income Rs.480. If the mean income of all the persons in the two groups together is Rs.430, then the ratio of the number of persons in the groups is 
EASY
The mean and median of a data are 14 and 15 respectively. Find mode.
EASY
In class of 100 students there are 70 boys whose average marks in a subject is 75. If the average marks of the complete class is 72, then the average marks of the girls is
EASY
The empirical relationship among the median, mode and mean of a data is:
EASY
In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class are 72, then what are the average marks of the girls.
HARD

If x1 and x2 are the means of two groups having n1 and n2 observations.

Statement I : The two distributions such that x¯1 < x¯2 and x¯ is the mean of the combined distribution, then x2<x<x1

Statement II : Combined mean x¯=Σnix¯iΣni

MEDIUM

Find the mean salary of 60 workers of a factory from the following table:

Salary (in Rs) Number of workers
3000 16
4000 12
5000 10
6000 8
7000 6
8000 4
9000 3
1000 1
Total 60
HARD
If ai>0, i=1, 2, 3,...,50 and a1+a2+a3+...+a50=50, then the minimum value of 1a1+1a2+1a3+...+1a50  is equal to.
EASY
The mean height of 29 male workers is 71 cm and 31 female workers is 48 cm. Then the combined mean height (in cm) of all 60 workers in the factory.
MEDIUM

A hockey player has scored following number of goals in 9 matches.

5, 4, 0, 2, 2, 4, 4, 3, 3.

Find the mean, median and mode of the data.