हिंदी

Find the Mean Using Direct Method: Class 0-10 10-20 20-30 30-40 40-50 50-60 Frequency 7 5 6 12 8 2 - Mathematics

Advertisements
Advertisements

प्रश्न

Find the mean using direct method:

Class 0-10 10-20 20-30 30-40 40-50 50-60
Frequency 7 5 6 12 8 2

उत्तर

Class Frequency`(f_i)`  Mid values `(x_i)` `f_i xx x_i`
0-10 7 5 35
10-20 5 15 75
20-30 6 25 150
30-40 12 35 420
40-50 8 45 360
50-60 2 55 110
  `∑ f_i = 40`   `∑(f_1xxx_1)=1150`

∴ Mean , x  = `(∑ (f_ixxx_i))/(∑ f_i)`

      =` 1150/40`

      =28.75

x = 28.75

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive - Exercises 1

APPEARS IN

आरएस अग्रवाल Mathematics [English] Class 10
अध्याय 9 Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive
Exercises 1 | Q 4

संबंधित प्रश्न

A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house.

Number of plants 0 - 2 2 - 4 4 - 6 6 - 8 8 - 10 10 - 12 12 - 14
Number of houses 1 2 1 5 6 2 3

Which method did you use for finding the mean, and why?


Calculate the mean for the following distribution:-

x 5 6 7 8 9
f 4 8 14 11 3

Find the mean of each of the following frequency distributions

Class interval 0 - 8 8 - 16 16 - 24 24 - 32 32 - 40
Frequency 5 9 10 8 8

Find the mean of the following frequency distribution, using the assumed-mean method:

Class 100 – 120 120 – 140 140 – 160 160 – 180 180 – 200
Frequency 10 20 30 15 5

Find the mean of the following data using step-deviation method:

Class 500 – 520 520 – 540 540 – 560 560 – 580 580 – 600 600 – 620
Frequency 14 9 5 4 3 5

 


Which of the following cannot be determined graphically?


If the mean of observation \[x_1 , x_2 , . . . . , x_n is x\]  then the mean of x1 + a, x2 + a, ....., xn + a is 


The contents of 100 match box were checked to determine the number of match sticks they contained.

Number of match sticks Number of boxes
35 6
36 10
37 18
38 25
39 21
40 12
41 8

(i) Calculate correct to one decimal place, the mean number of match sticks per box.
(ii) Determine how many matchsticks would have to be added. To the total contents of the 100 boxes to bring the mean up exactly 39 match sticks.


If the mean of observations x1, x2, x3, ....xn is `barx,` then the mean of new observations x1 + a, x2 + a, x3 + a, ........ xn + a is?


The following table gives the marks scored by a set of students in an examination. Calculate the mean of the distribution by using the short cut method.

Marks Number of Students
(f)
0 – 10 3
10 – 20 8
20 – 30 14
30 – 40 9
40 – 50 4
50 – 60 2

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×