. The prices of 25 pens (in Rs) are given below: 21, 24, 40. 19, 18. 38, 36, 34, 37, 47, 30, 29, 45, 34 , 25. 33, 12, 25 , 32, 13 41.20. 26. 28. 22. Represent the data by a histogram with class interval 10-20 20- 30 and so on
Answers
Step-by-step explanation:
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:
A dice was thrown 30 times and the following outcomes were noted:
2, 1, 2, 4, 6, 1, 2, 3, 6, 5, 4, 4, 3, 1, 1, 3, 1, 1, 5, 6, 6, 2, 2, 3, 4, 2, 5, 5, 6, 4.
Prepare a frequency table.
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:
The 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, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2, 2.
Represent it in the form of a frequency distribution.
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:
The marks obtained by 40 students of a class in an examination are given below:
8, 47, 22, 31, 17, 13, 38, 26, 3, 34, 29, 11, 22, 7, 15, 24, 38, 31, 21, 35, 42, 24, 45, 23, 21, 27, 29, 49, 25, 48, 21, 15, 18, 27, 19, 45, 14, 34, 37, 34.
Prepare a frequency distribution table with equal class intervals, starting from 0−10 (where 10 not included).
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:
The electricity bills (in rupees) of 25 houses of a certain locality for a month are given below:
324, 700, 617, 400, 356, 365, 435, 506, 548, 736, 780, 378, 570, 685, 312, 630, 584, 674, 754, 776, 596, 745, 565, 763, 472.
Arrange the above data in increasing order and form a frequency table using equal class intervals, starting from 300−400, where 400 is not included.
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:
The weekly wages (in rupees) of 28 workers of a factory are given below:
668, 610, 642, 658, 668, 620, 719, 720, 700, 690, 710, 642, 672, 654, 692, 706, 718, 702, 704,
Prepare a frequency table taking equal class sizes. One such class is 500−550, where 550 is not included.
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:
The heights (in cm) of 22 students were recorded as under:
125, 132, 138, 144, 142, 136, 134, 125, 135, 130, 126, 132, 135, 142, 143, 128, 126, 136, 135, 130, 130, 133.
Prepare a frequency distribution table, taking equal class intervals and starting from 125−130, where 130 is not included.
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 |||
