RS Aggarwal 2019 Solutions for Class 8 Math Chapter 21 Data Handling are provided here with simple step-by-step explanations. These solutions for Data Handling are extremely popular among class 8 students for Math Data Handling Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the RS Aggarwal 2019 Book of class 8 Math Chapter 21 are provided here for you for free. You will also love the ad-free experience on Meritnation’s RS Aggarwal 2019 Solutions. All RS Aggarwal 2019 Solutions for class 8 Math are prepared by experts and are 100% accurate.
Page No 234:
Question 1:
Answer:
First, we will arrange the data in increasing order.
3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7
Frequency table of the above data:
Number of members | Tally marks | Number of families (frequency) |
3 | 4 | |
4 | 4 | |
5 | 7 | |
6 | 3 | |
7 | 2 | |
Total | 20 |
Page No 234:
Question 2:
First, we will arrange the data in increasing order.
3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7
Frequency table of the above data:
Number of members | Tally marks | Number of families (frequency) |
3 | 4 | |
4 | 4 | |
5 | 7 | |
6 | 3 | |
7 | 2 | |
Total | 20 |
Answer:
Arranging the outcomes in increasing order, we get:
1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6
Now, we have:
1 was thrown 6 times
2 was thrown 6 times
3 was thrown 4 times
4 was thrown 5 times
5 was thrown 4 times
6 was thrown 5 times
Frequency distribution table of the above data:
Number | Tally mark | frequency |
1 | 6 | |
2 | 6 | |
3 | 4 | |
4 | 5 | |
5 | 4 | |
6 | 5 | |
Total | 30 |
Page No 234:
Question 3:
Arranging the outcomes in increasing order, we get:
1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6
Now, we have:
1 was thrown 6 times
2 was thrown 6 times
3 was thrown 4 times
4 was thrown 5 times
5 was thrown 4 times
6 was thrown 5 times
Frequency distribution table of the above data:
Number | Tally mark | frequency |
1 | 6 | |
2 | 6 | |
3 | 4 | |
4 | 5 | |
5 | 4 | |
6 | 5 | |
Total | 30 |
Answer:
Arranging the dates in ascending order, we get:
0, 0 ,0 , 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,2,2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6
There are:
4 families with no children
7 families with 1 child
12 families with 2 children
5 families with 3 children
6 families with 4 children
3 families with 5 children
3 families with 6 children
The frequency distribution table for the above data can be generated as below:
Number of children | Tally mark | Number of families (frequency) |
0 | 4 | |
1 | 7 | |
2 | 12 | |
3 | 5 | |
4 | 6 | |
5 | 3 | |
6 | 3 | |
Total | 40 |
Page No 235:
Question 1:
Arranging the dates in ascending order, we get:
0, 0 ,0 , 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,2,2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6
There are:
4 families with no children
7 families with 1 child
12 families with 2 children
5 families with 3 children
6 families with 4 children
3 families with 5 children
3 families with 6 children
The frequency distribution table for the above data can be generated as below:
Number of children | Tally mark | Number of families (frequency) |
0 | 4 | |
1 | 7 | |
2 | 12 | |
3 | 5 | |
4 | 6 | |
5 | 3 | |
6 | 3 | |
Total | 40 |
Answer:
Arranging the given observations in ascending order, we get:
3, 7, 8, 11, 13, 14, 15, 15, 17, 18, 19, 21, 21, 21, 22, 22, 23, 24, 24, 25, 26, 27, 27, 29, 29, 31, 31, 34, 34, 34, 35, 37, 38, 38, 42, 45, 45, 47, 48, 49
Thus, the frequency distribution may be represented as shown below:
Marks | Tally marks | Frequency |
---|---|---|
0-10 | ||| | 3 |
10-20 | 8 | |
20-30 | 14 | |
30-40 | 9 | |
40-50 | 6 | |
Total | 40 |
Page No 235:
Question 2:
Arranging the given observations in ascending order, we get:
3, 7, 8, 11, 13, 14, 15, 15, 17, 18, 19, 21, 21, 21, 22, 22, 23, 24, 24, 25, 26, 27, 27, 29, 29, 31, 31, 34, 34, 34, 35, 37, 38, 38, 42, 45, 45, 47, 48, 49
Thus, the frequency distribution may be represented as shown below:
Marks | Tally marks | Frequency |
---|---|---|
0-10 | ||| | 3 |
10-20 | 8 | |
20-30 | 14 | |
30-40 | 9 | |
40-50 | 6 | |
Total | 40 |
Answer:
Arranging the given observations in increasing order, we get:
312, 324, 356, 365, 378, 400, 435, 472, 506, 548, 565, 570, 584, 596, 617, 630, 674, 685, 700, 736, 745, 754, 763, 776, 786
Thus, the frequency distribution may be represented as shown below:
Electricity bills (in Rupees) |
Tally marks | Frequency |
---|---|---|
300-400 | 5 | |
400-500 | ||| | 3 |
500-600 | 6 | |
600-700 | |||| | 4 |
700-800 | 7 | |
Total | 25 |
Page No 235:
Question 3:
Arranging the given observations in increasing order, we get:
312, 324, 356, 365, 378, 400, 435, 472, 506, 548, 565, 570, 584, 596, 617, 630, 674, 685, 700, 736, 745, 754, 763, 776, 786
Thus, the frequency distribution may be represented as shown below:
Electricity bills (in Rupees) |
Tally marks | Frequency |
---|---|---|
300-400 | 5 | |
400-500 | ||| | 3 |
500-600 | 6 | |
600-700 | |||| | 4 |
700-800 | 7 | |
Total | 25 |
Answer:
Arranging the given observations in ascending order, we get:
610, 615, 615, 620, 636, 640, 642, 642, 654, 656, 658, 668, 668, 672, 678, 680, 690, 692, 700, 702, 704, 705, 706, 710, 716, 718, 719, 720
Thus, the frequency distribution may be represented as shown below:
Weekly wages (in Rupees) |
Tally marks | Frequency |
---|---|---|
610-630 | |||| | 4 |
630-650 | |||| | 4 |
650-670 | 5 | |
670-690 | ||| | 3 |
690-710 | 7 | |
710-730 | 5 | |
Total | 28 |
Page No 235:
Question 4:
Arranging the given observations in ascending order, we get:
610, 615, 615, 620, 636, 640, 642, 642, 654, 656, 658, 668, 668, 672, 678, 680, 690, 692, 700, 702, 704, 705, 706, 710, 716, 718, 719, 720
Thus, the frequency distribution may be represented as shown below:
Weekly wages (in Rupees) |
Tally marks | Frequency |
---|---|---|
610-630 | |||| | 4 |
630-650 | |||| | 4 |
650-670 | 5 | |
670-690 | ||| | 3 |
690-710 | 7 | |
710-730 | 5 | |
Total | 28 |
Answer:
Arranging the given observations in increasing order, we get:
60, 62, 62, 64, 65, 68, 72, 72, 73, 75, 78, 80, 80, 84, 85, 86, 87, 87, 90, 94, 94, 95, 96, 100, 103, 105, 110, 115, 117, 118
Thus, the frequency distribution may be represented as given below:
Weekly pocket expenses (in Rupees) |
Tally marks | Frequency |
---|---|---|
60-70 | 6 | |
70-80 | 5 | |
80-90 | 7 | |
90-100 | 5 | |
100-110 | ||| | 3 |
110-120 | |||| | 4 |
Total | 30 |
Page No 236:
Question 5:
Arranging the given observations in increasing order, we get:
60, 62, 62, 64, 65, 68, 72, 72, 73, 75, 78, 80, 80, 84, 85, 86, 87, 87, 90, 94, 94, 95, 96, 100, 103, 105, 110, 115, 117, 118
Thus, the frequency distribution may be represented as given below:
Weekly pocket expenses (in Rupees) |
Tally marks | Frequency |
---|---|---|
60-70 | 6 | |
70-80 | 5 | |
80-90 | 7 | |
90-100 | 5 | |
100-110 | ||| | 3 |
110-120 | |||| | 4 |
Total | 30 |
Answer:
Arranging the given observations in increasing order, we get:
500, 524, 525, 530, 532, 545, 545, 550, 560, 573, 580, 585, 610, 625, 630, 645, 650, 680, 685, 700, 715, 723, 736, 742
Thus, the frequency distribution may be represented as given below:
Daily earnings (in Rupees) |
Tally marks | Frequency |
---|---|---|
500-550 | ||||| || | 7 |
550-600 | ||||| | 5 |
600-650 | |||| | 4 |
650-700 | ||| | 3 |
700-750 | ||||| | 5 |
Total | 24 |
Page No 236:
Question 6:
Arranging the given observations in increasing order, we get:
500, 524, 525, 530, 532, 545, 545, 550, 560, 573, 580, 585, 610, 625, 630, 645, 650, 680, 685, 700, 715, 723, 736, 742
Thus, the frequency distribution may be represented as given below:
Daily earnings (in Rupees) |
Tally marks | Frequency |
---|---|---|
500-550 | ||||| || | 7 |
550-600 | ||||| | 5 |
600-650 | |||| | 4 |
650-700 | ||| | 3 |
700-750 | ||||| | 5 |
Total | 24 |
Answer:
Arranging the given observations in increasing order, we get 125, 125, 126, 126, 128, 130, 130, 130, 132, 132, 133, 134, 135, 135, 135, 136, 136, 138, 142, 142, 143 and 144.
Thus, the frequency distribution may be represented as given below:
Heights (in cm) | Tally marks | Frequency |
---|---|---|
125-130 | 5 | |
130-135 | 7 | |
135-140 | 6 | |
140-145 | |||| | 4 |
Total | 22 |
Page No 239:
Question 1:
Arranging the given observations in increasing order, we get 125, 125, 126, 126, 128, 130, 130, 130, 132, 132, 133, 134, 135, 135, 135, 136, 136, 138, 142, 142, 143 and 144.
Thus, the frequency distribution may be represented as given below:
Heights (in cm) | Tally marks | Frequency |
---|---|---|
125-130 | 5 | |
130-135 | 7 | |
135-140 | 6 | |
140-145 | |||| | 4 |
Total | 22 |
Answer:
Page No 239:
Question 2:
Answer:
Page No 239:
Question 3:
Answer:
Page No 239:
Question 4:
Answer:
Page No 239:
Question 5:
Answer:
ans
Page No 240:
Question 6:
ans
Answer:
Page No 240:
Question 7:
Answer:
Frequency distribution table
Marks | Tally Marks | Number of students |
3-8 | 2 | |
8-13 | 8 | |
13-18 | 16 | |
18-23 | 4 | |
Total = | 30 |
Page No 240:
Question 8:
Frequency distribution table
Marks | Tally Marks | Number of students |
3-8 | 2 | |
8-13 | 8 | |
13-18 | 16 | |
18-23 | 4 | |
Total = | 30 |
Answer:
Frequency distriubution table
Weight(in kg) | Tally Marks | Number of students |
25-30 | 2 | |
30-35 | 7 | |
35-40 | 11 | |
40-45 | 7 | |
45-50 | 3 | |
Total = | 30 |
Page No 240:
Question 9:
Frequency distriubution table
Weight(in kg) | Tally Marks | Number of students |
25-30 | 2 | |
30-35 | 7 | |
35-40 | 11 | |
40-45 | 7 | |
45-50 | 3 | |
Total = | 30 |
Answer:
(i) Number of students =
(ii) Class interval with least number of students = 150−155
(iii) Class size = 130 − 125 = 5
(iv) Number of students with height less than 140 =
Page No 241:
Question 10:
(i) Number of students =
(ii) Class interval with least number of students = 150−155
(iii) Class size = 130 − 125 = 5
(iv) Number of students with height less than 140 =
Answer:
(i) The given histogram tells about the number of teachers in a school from the age group 25-30 to 55-60.
(ii) Number of teachers with age less than 45 years =
(iii) Number of teachers with age more than 40 years but less than 55 years =
Page No 241:
Question 11:
(i) The given histogram tells about the number of teachers in a school from the age group 25-30 to 55-60.
(ii) Number of teachers with age less than 45 years =
(iii) Number of teachers with age more than 40 years but less than 55 years =
Answer:
(i) Age group =10 to 40
Given all the classes are of equal width
Number of class interval of equal width = 6
Class width =
Classes are 10-15,15-20,20-25,25-30,30-35,35-40
(ii) Class width =
(iii)Age group with least literate females = 10-15
(iv)Age group with highest literate females = 15-20
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