RD Sharma Solutions (Part - 1)- Ex-22.1, Data Handling I Collection Organisation Data, Class 7 Class 7 Notes | EduRev

RD Sharma Solutions for Class 7 Mathematics

Created by: Abhishek Kapoor

Class 7 : RD Sharma Solutions (Part - 1)- Ex-22.1, Data Handling I Collection Organisation Data, Class 7 Class 7 Notes | EduRev

The document RD Sharma Solutions (Part - 1)- Ex-22.1, Data Handling I Collection Organisation Data, Class 7 Class 7 Notes | EduRev is a part of the Class 7 Course RD Sharma Solutions for Class 7 Mathematics.
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Question 1:

Define the following terms:
 (i) Observations
 (ii) data
 (iii) Frequency of an observation
 (iv) Frequency distribution

Answer 1:

(i) Observation : is the activity of paying close attention to someone or something in order to get information in numerical form.
(ii)Data : The collection of observations is known as data.
(iii)Frequency of an observation : The number of times an observation occurs in a given data is called the frequency of an observation.
(iv)Frequency Distribution : It is a method of presenting raw data in a form that can be easily understood.

 

Question 2:

The final marks in mathematics of 30 students are as follows:

53,61,48,60,78,68,55,100,67,90
75,88,77,37,84,58,60,48,62,56
44,58,52,64,98,59,70,39,50,60

 

(i) Arrange these marks in the ascending order. 30 to 39 one group, 40 to 49 second group, etc.
 (ii) What is the highest score?
 (iii) What is the lowest score?
 (iv) What is the range?
 (v) If 40 is the pass mark how many have failed?
 (vi) How many have scored 75 or more?
 (vii) Which observations between 50 and 60 have not actually appeared?
 (viii) How many have scored less than 50?

Answer 2:

(i) Ascending order of the numbers in groups :
(30-39):  37, 39
(40 - 49):   44, 48, 48
(50 - 59) :  50,52, 53, 55, 56, 58, 58, 59
(60 - 69) : 60, 60, 60, 61, 62, 64,   67, 68
(70 - 79) : 70, 75, 77, 78
(80 - 89) :  84, 88
(90 - 99) :  90, 98
(100-109): 100


(ii) The highest score is 100.
(iii) The lowest score is 37.
(iv) Range is = Maximum observation - Minimum observation.
                     = 100 - 37 = 63.
(v) If 40 is the pass mark, then only 2 students have failed.
(vi) 8 students have scored 75 or more.
(vii) 51, 54 and 57 are not there between 50 and 60.
(viii) 5 students scored less than 50.

Question 3:

The weights of new born babies (in kg) in a hospital on a particular day are as follows:

.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4
 

(i) Rearrange the weights in descending order.
 (ii) Determine the highest weight.
 (iii) Determine the lowest weight.
 (iv) Determine the range.
 (v) How many babies were born on that day?
 (vi) How many babies weigh below 2.5 kg?
 (vii) How many babies weigh more than 2.8?
 (viii) How many babies weigh 2.8 kg?

Answer 3:

(i) Weights in descending order :
3.1, 3.0, 2.9, 2.9, 2.8, 2.8, 2.7, 2.7, 2.6, 2.5, 2.5, 2.4, 2.3, 2.2, 2.1
(ii) Highest weight: 3.1 Kg.
(iii) Lowest weight: 2.1 Kg.
(iv) Range = Maximum observation - Minimum observation
                 = (3.1-2.1) kg =  1.0 Kg.
(v) A total of 15 babies were born on that day.
(vi) 4 babies weigh below 2.5 kg.
(vii) 4 babies weigh more than 2.8kg.
(viii) 2 babies weigh 2.8 kg.

Question 4:

Following data gives the number of children in 40 families:

1, 2, 6, 5, 1, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 0, 4, 4, 3, 2
 2, 0, 0, 1, 2, 2, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2

Represent it in the form of a frequency distribution.

Answer 4:

Required frequency-distribution table :

Number of childrenFrequency
05
17
211
35
46
53
63

Question 5:

Prepare a frequency table of the following scores obtained by 50 students in a test:

42512142373742493852
733174439714273942
42623739675153535941
29382731541953512261
42395947333416375743

Answer 5:

Frequency Table is :

MarksNo. of Students
72
141
161
171
191
211
221
272
291
311
332
341
374
382
394
411
426
431
441
471
491
513
521
533
541
571
592
611
621
671

Question 6:

A die was thrown 25 times and following scores were obtained:

15243
61425
16263
54132
36152

Prepare a frequency table of the scores.

Answer 6:

Frequency Table is :

ScoreNumber of Times
15
25
34
43
54
64

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