हिंदी

The Weekly Wages of 120 Workers in a Factory Are Shown in the Following Frequency Distribution Table. Find the Mean of the Weekly Wages. - Algebra

Advertisements
Advertisements

प्रश्न

The weekly wages of 120 workers in a factory are shown in the following frequency distribution table. Find the mean of the weekly wages.

Weekly wages
(Rupees)
0 - 2000 2000 - 4000 4000 - 6000 6000 - 8000
No. of workers 15 35 50 20
योग

उत्तर

Class
(Weekly wages in thousand rupees)
Class Mark
xi
Frequency
(Number of workers)
fi
Class mark × Frequency
xif
0 - 2000 1000 15 15000
2000 - 4000 3000 35 105000
4000 - 6000 5000 50 250000
6000 - 8000 7000 20 140000
    `∑f_i = 120` `∑x_i f_i = 510000`

Mean = `(∑x_i f_i )/(∑f_i )`

          =`510000/120`

          = Rs 4250 

​Hence, the mean of the weekly wages is Rs 4250.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Statistics - Miscellaneous Problems 6 [पृष्ठ १६६]

APPEARS IN

बालभारती Algebra (Mathematics 1) [English] 10 Standard SSC Maharashtra State Board
अध्याय 6 Statistics
Miscellaneous Problems 6 | Q 4 | पृष्ठ १६६

संबंधित प्रश्न

The number of students absent in a class were recorded every day for 120 days and the information is given in the following frequency table:

No. of students absent (x) 0 1 2 3 4 5 6 7
No. of days (f) 1 4 10 50 34 15 4 2

Find the mean number of students absent per day.


The following distribution gives the number of accidents met by 160 workers in a factory during a month.

No. of accidents(x) 0 1 2 3 4
No. of workers (f) 70 52 34 3 1

Find the average number of accidents per worker.


Find the mean of each of the following frequency distributions

Class interval 0 - 8 8 - 16 16 - 24 24 - 32 32 - 40
Frequency 6 7 10 8 9

Find the mean of the following frequency distribution is 57.6 and the total number of observation is 50.

Class  0-20 20-40 40-60 60-80 80-100 100-120
Frequency  7 `f_1` 12 `f_2` 8 5

Find the mean marks per student, using assumed-mean method:

Marks 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60
Number of
Students
12 18 27 20 17 6

The following table gives the literacy rate (in percentage) in 40 cities. Find the mean literacy rate, choosing a suitable method .

Literacy
rate(%)
45 – 55 55 – 65 65 – 75 75 – 85 85 – 95
Number of
cities
4 11 12 9 4

The following table shows the marks scored by 80 students in an examination:

Marks 0 – 5 5 – 10 10 – 15 15 – 20 20 – 25 25 – 30 30 – 35 35 – 40
No. of
students
3 10 25 49 65 73 78 80

The loans sanctioned by a bank for construction of farm ponds are shown in the following table. Find the mean of the loans.

Loan
(Thousand Rupees)
40 - 50 50 - 60 60 - 70 70 - 80 80 - 90
No. of farm ponds 13 20 24 36 7

Define mean.


The mean of n observation is `overlineX`.  If the first observation is increased by 1, the second by 2, the third by 3, and so on, then the new mean is


If the mean of first n natural number is 15, then n =


The measurements (in mm) of the diameters of the head of the screws are given below :

Diameter (in mm)    no. of screws
33 - 35 9
36 - 38  21
 39 - 41 30
 42 - 44 22
 45 - 47 18

Calculate the mean diameter of the head of a screw by the ' Assumed Mean Method'.


If mean = (3median - mode) . k, then the value of k is ______.


The following table gives the number of pages written by Sarika for completing her own book for 30 days:

Number of pages
written per day
16 – 18 19 – 21 22 – 24 25 – 27 28 – 30
Number of days 1 3 4 9 13

Find the mean number of pages written per day.


An aircraft has 120 passenger seats. The number of seats occupied during 100 flights is given in the following table:

Number of seats 100 – 104 104 – 108 108 – 112 112 – 116 116 – 120
Frequency 15 20 32 18 15

Find the mean for the following distribution:

Class Interval 20 - 40 40 - 60 60 - 80 80 - 100
Frequency 4 7 6 3

Find the values of x and y if the mean and total frequency of the distribution are 25 and 50 respectively.

Class Interval 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60
Frequency 7 x 5 y 4 2

Find the mean of the following data using assumed mean method:

Class 0 – 5 5 – 10 10 – 15 15 – 20 20 – 25
Frequency 8 7 10 13 12

The following table gives the distribution of the life time of 400 neon lamps:

Life time (in hours) Number of lamps
1500 – 2000 14
2000 – 2500 56
2500 – 3000 60
3000 – 3500 86
3500 – 4000 74
4000 – 4500 62
4500 – 5000 48

Find the average life time of a lamp.


The following table gives the duration of movies in minutes:

Duration 100 – 110 110 – 120 120 – 130 130 – 140  140 – 150 150 – 160
No. of movies 5 10 17 8 6 4

Using step-deviation method, find the mean duration of the movies.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×