मराठी

The Mean of a Discrete Frequency Distribution Xi / Fi, I = 1, 2, ......, N is Given by - Mathematics

Advertisements
Advertisements

प्रश्न

The mean of a discrete frequency distribution xi / fi, i = 1, 2, ......, n is given by

पर्याय

  • `overlineX = (sum f_ix_i)/(sumf_i)`

  • \[\frac{1}{n} \sum^n_{i = 1} f_i x_i\]

  • \[\frac{\sum^n_{i = 1} f_i x_i}{\sum^n_{i = 1} x_i}\]

  • \[\frac{\sum^n_{i = 1} f_i x_i}{\sum^n_{1 = 1} i}\]

MCQ

उत्तर

The mean of discrete frequency distribution is

`overlineX = (sum f_ix_i)/(sumf_i)`

Hence, the correct option is (a).

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 15: Statistics - Exercise 15.8 [पृष्ठ ६७]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
पाठ 15 Statistics
Exercise 15.8 | Q 13 | पृष्ठ ६७

संबंधित प्रश्‍न

The following table gives the production yield per hectare of wheat of 100 farms of a village.

Production Yield (kg/ha) 50 –55 55 –60 60 –65 65- 70 70 – 75 75  80
Number of farms 2 8 12 24 238 16

Change the distribution to a ‘more than type’ distribution and draw its ogive. Using ogive, find the median of the given data.


The marks obtained by 100 students of a class in an examination are given below:

Marks Number of students
0 – 5 2
5 – 10 5
10 – 15 6
15 – 20 8
20 – 25 10
25 – 30 25
30 – 35 20
35 – 40 18
40 – 45 4
45 – 50 2

Draw cumulative frequency curves by using (i) ‘less than’ series and (ii) ‘more than’ series.Hence, find the median.


From the following data, draw the two types of cumulative frequency curves and determine the median:

Marks Frequency
140 – 144 3
144 – 148 9
148 – 152 24
152 – 156 31
156 – 160 42
160 – 164 64
164 – 168 75
168 – 172 82
172 – 176 86
176 – 180 34

 

 


 The following is the cumulative frequency distribution ( of less than type ) of 1000 persons each of age 20 years and above . Determine the mean age .

Age below (in years): 30 40 50 60 70 80
Number of persons : 100 220 350 750 950 1000

If \[u_i = \frac{x_i - 25}{10}, \Sigma f_i u_i = 20, \Sigma f_i = 100, \text { then }\]`overlineX`


For one term, absentee record of students is given below. If mean is 15.5, then the missing frequencies x and y are.

Number of days 0 - 5 5 - 10 10 - 15 15 - 20 20 - 25 25 - 30 30 - 35 35 - 40 TOTAL
Total Number of students 15 16 x 8 y 8 6 4 70

The following table shows the cumulative frequency distribution of marks of 800 students in an examination:

Marks Number of students
Below 10 10
Below 20 50
Below 30 130
Below 40 270
Below 50 440
Below 60 570
Below 70 670
Below 80 740
Below 90 780
Below 100 800

Construct a frequency distribution table for the data above.


Find the unknown entries a, b, c, d, e, f in the following distribution of heights of students in a class:

Height
(in cm)
Frequency Cumulative frequency
150 – 155 12 a
155 – 160 b 25
160 – 165 10 c
165 – 170 d 43
170 – 175 e 48
175 – 180 2 f
Total 50  

The following are the ages of 300 patients getting medical treatment in a hospital on a particular day:

Age (in years) 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70
Number of patients 60 42 55 70 53 20

Form: More than type cumulative frequency distribution.


Given below is a cumulative frequency distribution showing the marks secured by 50 students of a class:

Marks Below 20 Below 40 Below 60 Below 80 Below 100
Number of students 17 22 29 37 50

Form the frequency distribution table for the data.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×