हिंदी

If the Arithmetic Mean of X, X + 3, X + 6, X + 9, and X + 12 is 10, the X = - Mathematics

Advertisements
Advertisements

प्रश्न

If the arithmetic mean of x, x + 3, x + 6, x + 9, and x + 12 is 10, the x =

विकल्प

  • 1

  • 2

  • 6

  • 4

MCQ

उत्तर

The given observations are x, x + 3, x + 6, x + 9, and x + 12.

\[\therefore \sum_{}x = 5x + 30, n = 5,\]`overlineX = 10`

Now,

`overlineX =( sumx)/n `

`10 = (5x + 30)/5`

`50 = 5x +30`

`5x = 20`

`x = 4`

Hence, the correct option is (d).

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 15: Statistics - Exercise 15.8 [पृष्ठ ६७]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
अध्याय 15 Statistics
Exercise 15.8 | Q 14 | पृष्ठ ६७

संबंधित प्रश्न

The table below shows the daily expenditure on food of 25 households in a locality.

Daily expenditure (in Rs) 100 − 150 150 − 200 200 − 250 250 − 300 300 − 350
Number of households 4 5 12 2 2

Find the mean daily expenditure on food by a suitable method.


Calculate the mean for the following distribution:-

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

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.


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 arithmetic mean of the following frequency distribution using step-deviation method:

Age (in years) 18 – 24 24 – 30 30 – 36 36 – 42 42 – 48 48 – 54
Number of workers 6 8 12 8 4 2

Find the correct answer from the alternatives given.

The formula to find mean from a grouped frequency table is  \[X = A + \frac{\sum f_i u_i}{\sum f_i} \times hg\] .


If the mean of the following frequency distribution is 18, find the missing frequency.

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

The following table gives the wages of worker in a factory:

Wages in ₹ 45 - 50 50 - 55 55 - 60 60 - 65 65 - 70 70 - 75 75 - 80
No. of Worker's 5 8 30 25 14 12 6

Calculate the mean by the short cut method.


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

The mean weight of 150 students in a certain class is 60 kgs. The mean weight of boys in the class is 70 kg and that of girls is 55 kgs. Find the number of boys and the number of girls in the class.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×