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Question
In a school, 46 students of 9th standard, were told to measure the lengths of the pencils in their compass boxes in centimeters. The data collected was as follows.
16, 15, 7, 4.5, 8.5, 5.5, 5, 6.5, 6, 10, 12, 13, 4.5, 4.9, 16, 11, 9.2, 7.3, 11.4, 12.7, 13.9, 16, 5.5, 9.9, 8.4, 11.4, 13.1, 15, 4.8, 10, 7.5, 8.5, 6.5, 7.2, 4.5, 5.7, 16, 5.7, 6.9, 8.9, 9.2, 10.2, 12.3, 13.7, 14.5, 10.
By taking inclusive classes 0-5, 5-10, 10-15.... prepare a grouped frequency distribution table.
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Solution
| Class Interval | Tally Marks | Frequency |
| 0 - 5 | `cancel(bb|bb|bb|bb|)` | 5 |
| 5 - 10 | `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` | 20 |
| 10 - 15 | `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` | 15 |
| 15 - 20 | `cancel(bb|bb|bb|bb|)` `bb|` | 6 |
| Total | 46 |
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For class interval 20-25 write the lower class limit and the upper class limit.
Complete the Following Table.
| Classes (age) | Tally marks | Frequency (No. of students) |
| 12-13 | `cancel(bb|bb|bb|bb|)` | `square` |
| 13-14 | `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` `bb|bb|bb|bb|` | `square` |
| 14-15 | `square` | `square` |
| 15-16 | `bb|bb|bb|bb|` | `square` |
| N = ∑f = 35 |
In a village, the milk was collected from 50 milkmen at a collection center in litres as given below:
27, 75, 5, 99, 70, 12, 15, 20, 30, 35, 45, 80, 77, 90, 92, 72, 4, 33, 22, 15, 20, 28, 29, 14, 16, 20, 72, 81, 85, 10, 16, 9, 25, 23, 26, 46, 55, 56, 66, 67, 51, 57, 44, 43, 6, 65, 42, 36, 7, 35.
By taking suitable classes, prepare grouped frequency distribution table.
38 people donated to an organisation working for differently abled persons. The amount in rupees were as follows:
101, 500, 401, 201, 301, 160, 210, 125, 175, 190, 450, 151, 101, 351, 251, 451, 151, 260, 360, 410, 150, 125, 161, 195, 351, 170, 225, 260, 290, 310, 360, 425, 420, 100, 105, 170, 250, 100.
- By taking classes 100-149, 150-199, 200-249... prepare grouped frequency distribution table.
- From the table, find the number of people who donated rupees 350 or more.
If the classes are 0-10, 10-20, 20-30... then in which class should the observation 10 be included?
Given below are the marks obtained by 30 students in an examination:
|
08 |
17 |
33 |
41 |
47 |
23 |
20 |
34 |
|
09 |
18 |
42 |
14 |
30 |
19 |
29 |
11 |
|
36 |
48 |
40 |
24 |
22 |
02 |
16 |
21 |
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15 |
32 |
47 |
44 |
33 |
01 |
Taking class intervals 1 - 10, 11 - 20, ....., 41 - 50; make a frequency table for the above distribution.
Construct a cumulative frequency distribution table from the frequency table given below:
| Class Interval | Frequency |
| 1 - 10 | 12 |
| 11 - 20 | 18 |
| 21 - 30 | 23 |
| 31 - 40 | 15 |
| 41 - 50 | 10 |
Construct a frequency distribution table from the following cumulative frequency distribution:
| C.I | C.F |
| 5 - 10 | 18 |
| 10 - 15 | 30 |
| 15 - 20 | 46 |
| 20 - 25 | 73 |
| 25 - 30 | 90 |
The height of 30 children in a class is given in centimetres. Draw up a frequency table of this data.
131, 135, 140, 138, 132, 133, 135, 133, 134, 135, 132, 133, 140, 139, 132, 131, 134, 133, 140, 140, 139, 136, 137, 136, 139, 137, 133, 134, 131, 140
In a certain colony, there are 50 families. The number of people in every family is given below. Draw up the frequency table.
5, 4, 5, 4, 5, 3, 3, 3, 4, 3, 4, 2, 3, 4, 2, 2, 2, 2, 4, 5, 1, 3, 2, 4, 5, 3, 3, 2, 4, 4, 2, 3, 4, 3, 4, 2, 3, 4, 5, 3, 2, 3, 2, 3, 4, 5, 3, 2, 3, 2
A dice was cast 40 times and each score noted is given below. Draw up a frequency table for this data.
3, 2, 5, 6, 4, 2, 3, 1, 6, 6, 2, 3, 5, 3, 5, 3, 4, 2, 4, 5, 4, 2, 6, 3, 3, 2, 4, 3, 3, 4, 1, 4, 3, 3, 2, 2, 5, 3, 3, 4
If a class size is 10 and range is 80 then the number of classes are ___________
In a frequency distribution with classes 0 – 10, 10 – 20 etc., the size of the class intervals is 10. The lower limit of fourth class is ______.
Upper limit of class interval 75 – 85 is ______.
The number of times a particular observation occurs in a given data is called its ______.
Using the following frequency table.
| Marks (obtained out of 10) | 4 | 5 | 7 | 8 | 9 | 10 |
| Frequency | 5 | 10 | 8 | 6 | 12 | 9 |
The frequency of more than 8 marks is 21.
If the fifth class interval is 60 – 65, fourth class interval is 55 – 60, then the first-class interval is 45 – 50.
Following are the number of members in 25 families of a village:
6, 8, 7, 7, 6, 5, 3, 2, 5, 6, 8, 7, 7, 4, 3, 6, 6, 6, 7, 5, 4, 3, 3, 2, 5.
Prepare a frequency distribution table for the data using class intervals 0 – 2, 2 – 4, etc.
The weights (in kg) of 30 students of a class are:
39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37, 31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26.
Prepare a frequency distribution table using one class interval as (30 – 35), 35 not included.
- Which class has the least frequency?
- Which class has the maximum frequency?
Construct a frequency distribution table for the following weights (in grams) 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.
- How many classes are there in the frequency distribution table?
- Which weight group has the highest frequency?
