हिंदी

The number of telephone calls received at an exchange per interval for 250 successive one minute intervals are given in the following frequency table: No. of calls(x) 0 1 2 3 4 5 6 - Mathematics

Advertisements
Advertisements

प्रश्न

The number of telephone calls received at an exchange per interval for 250 successive one minute intervals are given in the following frequency table: 

No. of calls(x) 0 1 2 3 4 5 6
No. of intervals (f) 15 24 29 46 54 43 39

Compute the mean number of calls per interval.

योग

उत्तर

Let be assumed mean (A) = 3

No. of calls
(xi)

No. of intervals
(fi)

ui = xi − A
(A = 3)

fiui
0 15 −3 −45
1 24 −2 −47
2 29 −1 −39
3 46 0 0
4 54 1 54
5 43 2 86
6 39 3 47
  N = 250   `sumf_ix_i=135`

Mean number of cells `=A+(sumf_ix_i)/N`

= `3+135/250`

= `(750 + 135)/250`

= `885/250`

= 3.54

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 15: Statistics - Exercise 15.2 [पृष्ठ १३]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
अध्याय 15 Statistics
Exercise 15.2 | Q 1 | पृष्ठ १३

संबंधित प्रश्न

Calculate the mean for the following distribution:-

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

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 following distribution shows the daily pocket allowance of children of a locality. If the mean pocket allowance is ₹ 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 children 7 6 9 13 f 5 4

During a medical check-up, the number of heartbeats per minute of 30 patients were recorded and summarized as follows:

Number of
heartbeats
per minute
65 – 68 68 – 71 71 – 74 74 – 77 77 – 80 80 – 83 83 - 86
Number of
patients
2 4 3 8 7 4 2

Find the mean heartbeats per minute for these patients, choosing a suitable method.


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


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 numbers is \[\frac{5n}{9}\], then n =


A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.

Number of days: 0-6 6-12 12-18 18-24 24-30 30-36 36-42
Number of students: 10 11 7 4 4 3 1

The average score of girls in class X examination in school is 67 and that of boys is 63. The average score for the whole class is 64.5. Find the percentage of girls and boys in the class.


The mileage (km per litre) of 50 cars of the same model was tested by a manufacturer and details are tabulated as given below:

Mileage (km/l) 10 – 12 12 – 14 14 – 16 16 – 18
Number of cars 7 12 18 13

Find the mean mileage. The manufacturer claimed that the mileage of the model was 16 km/litre. Do you agree with this claim?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×