मराठी

If the Mean of 25 Observations is 27 and Each Observation is Decreased by 7, What Will Be New Mean? - Mathematics

Advertisements
Advertisements

प्रश्न

If the mean of 25 observations is 27 and each observation is decreased by 7, what will be new mean?

उत्तर

Mean of given observations =`"sun of given observations"/" total number of observations"`
Mean of 25 observations = 27
∴ Sum of 25 observations = 27 × 25 = 675
If 7 is subtracted from every number, then the sum = 675 – (25 × 7)
                                                                                 = 675 – 175
                                                                                 = 500
Then, new mean =`500/25` = 20
Thus, the new mean will be 20.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 9: Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive - Exercises 1

APPEARS IN

आर एस अग्रवाल Mathematics [English] Class 10
पाठ 9 Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive
Exercises 1 | Q 2

संबंधित प्रश्‍न

The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is Rs.18. Find the missing frequency f.

Daily pocket allowance (in Rs 11 - 13 13 - 15 15 - 17 17 - 19 19 - 21 21 - 23 23 - 25
Number of workers 7 6 9 13 f 5 4

The mean of the following distribution is 18. Find the frequency f of class 19 – 21.

Class 11-13 13-15 15-17 17-19 19-21 21-23 23-25
Frequency 3 6 9 13 f 5 4

 


Find the value of p for the following distribution whose mean is 16.6

x 8 12 15 P 20 25 30
f 12 16 20 24 16 8 4

The following table gives the distribution of total household expenditure (in rupees) of manual workers in a city. Find the average expenditure (in rupees) per household.

Expenditure
(in rupees) (x1)
Frequency(f1)
100 - 150 24
150 - 200 40
200 - 250 33
250 - 300 28
300 - 350 30
350 - 400 22
400 - 450 16
450 - 500 7

For the following distribution, calculate mean using all suitable methods:

Size of item 1 - 4 4 - 9 9 - 16 16 - 27
Frequency 6 12 26 20

The weekly observations on cost of living index in a certain city for the year 2004 - 2005 are given below. Compute the weekly cost of living index.

Cost of living Index Number of Students
1400 - 1500 5
1500 - 1600 10
1600 - 1700 20
1700 - 1800 9
1800 - 1900 6
1900 - 2000 2

The daily expenditure of 100 families are given below. Calculate `f_1` and `f_2` if the mean daily expenditure is ₹ 188.

Expenditure

(in Rs)

140-160 160-180 180-200 200-220 220-240

Number of families

5 25 `f_1` `f_2` 5

Find the mean of the following frequency distribution:

Class Interval Frequency
0 - 50 4
50 - 100 8
100 - 150  16
150 - 200 13
200 - 250 6
250 - 300 3

A frequency distribution of the life times of 400 T.V., picture tubes leased in tube company is given below. Find the average life of tube:

Life time (in hrs) Number of tubes
300 - 399 14
400 - 499 46
500 - 599 58
600 - 699 76
700 - 799 68
800 - 899 62
900 - 999 48
1000 - 1099 22
1100 - 1199 6

In calculating the mean of grouped data, grouped in classes of equal width, we may use the formula `barx = a + (sumf_i d_i)/(sumf_i)` where a is the assumed mean. a must be one of the mid-points of the classes. Is the last statement correct? Justify your answer.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×