7. The following table represents the marks secured by a batch of 12 students in Science and
Social Science tests:
-
S. No.
2
3
4
9
16
5
7
8
10
12
Science
25
72
28
60
46
32
30
54
65
33
53
48
Social Science
67
28
48
55
25
60
27
49
43
23
41
20
By calculating median, identify the subject in which the level of achievement is higher.
DATA HANDLING: MEAN, MEDIAN AND MODE I E
Answers
Step-by-step explanation:
CBSE Notes
.
Solution:
The frequency table for the marks of 40 students of class VIII in an examination is shown below:
Range of Marks No: of Students
0-5 9
5-10 9
10-15 7
15-20 9
20-25 6
2. The marks scored by 20 students in a test are given below:
54, 42, 68, 56, 62, 71, 78, 51, 72, 53, 44, 58, 47, 64, 41, 57, 89, 53, 84, 57.
Complete the following frequency table:
What is the class interval in which the greatest frequency occurs?
Solution:
The frequency table can be completed as follows:
Marks in Class Interval Tally Marks No: of Children
40 – 50 IIII 4
– 60
RD Sharma Solutions for Class 8 Maths Chapter 23 – Data Handling – I (Classification and Tabulation of Data) image - 1III 8
60 – 70 III 3
70 – 80 III 3
80 – 90 II 2Swipe left
The class interval with the greatest frequency (8) is 50-60.
3. The following is the distribution of weights (in kg) of 52 persons:
Weight in kg Persons
30 – 40 10
40 – 50 15
50 – 60 17
60 – 70 6
70 – 80 4
(i) What is the lower limit of class 50-60?
(ii) Find the class marks of the classes 40-50, 50-60.
(iii) What is the class size?
Solution:
(i) The lower limit of the class 50-60 is 50.
(ii) Class mark for the class 40-50:
i.e., (40+50) / 2 = 90/2 = 45
Again, Class mark for the class 50-60:
i.e., (50+60) / 2 = 110/2 = 55
(iii) Here the class size is 40-30, i.e. 10.
4. Construct a frequency table for the following weights (in gm) of 35 mangoes using the equal class intervals, one of them is 40-45 (45 not included) :
30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37, 53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68.
(i) What is the class mark of the class interval 40-45?
(ii) What is the range of the above weights?
(iii) How many classes are there?
Solution:
Weight (in grams) No: of Mangoes
30 – 35 4
35 – 40 1
40 – 45 3
45 – 50 3
50 – 55 7
55 – 60 3
60 – 65 6
65 – 70 5
70 – 75 3
(i) Class mark for the class interval 40 – 45:
Class mark = (40+45) / 2 = 85/2 = 42.5
(ii) Range of the above weights:
Range = Highest value – Lowest value
Range = 74 – 30 = 44
(iii) Number of classes = 9
5. Construct a frequency table with class-intervals 0-5 (5 not included) of the following marks obtained by a group of 30 students in an examination :
0, 5, 7, 10, 12, 15, 20, 22, 25, 27, 8, 11, 17, 3, 6, 9, 17, 19, 21, 29, 31, 35, 37, 40, 42, 45, 49, 4, 50, 16.
PLEASE MARK ME AS BRANILIEST