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Question
The value of π upto 50 decimal places is given below:
3.14159265358979323846264338327950288419716939937510
From this information prepare an ungrouped frequency distribution table of digits appearing after the decimal point.
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Solution
| Digits | Tally Marks | Frequency |
| 0 | `bb|bb|` | 2 |
| 1 | `cancel(bb|bb|bb|bb|)` | 5 |
| 2 | `cancel(bb|bb|bb|bb|)` | 5 |
| 3 | `cancel(bb|bb|bb|bb|)` `bb|bb|bb|` | 8 |
| 4 | `bb|bb|bb|bb|` | 4 |
| 5 | `cancel(bb|bb|bb|bb|)` | 5 |
| 6 | `bb|bb|bb|bb|` | 4 |
| 7 | `bb|bb|bb|bb|` | 4 |
| 8 | `cancel(bb|bb|bb|bb|)` | 5 |
| 9 | `cancel(bb|bb|bb|bb|)` `bb|bb|bb|` | 8 |
| Total (N) = 50 |
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RELATED QUESTIONS
For class interval 20-25 write the lower class limit and the upper class limit.
Find the class-mark of the class 35 - 40.
If class mark is 10 and class width is 6 then find the class.
In the table given below, class-mark and frequencies are given. Construct the frequency table taking inclusive and exclusive classes.
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| 22 | 6 |
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The monthly maximum temperature of a city is given in degree celcius in the following data. By taking suitable classes, prepare the grouped frequency distribution table
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Given below are the marks obtained by 30 students in an examination:
| 08 | 17 | 33 | 41 | 47 | 23 | 20 | 34 |
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| 36 | 48 | 40 | 24 | 22 | 02 | 16 | 21 |
| 15 | 32 | 47 | 44 | 33 | 01 |
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| Marks | No. of students |
| less than 10 | 6 |
| less than 20 | 15 |
| less than 30 | 30 |
| less than 40 | 39 |
| less than 50 | 53 |
| less than 60 | 70 |
Construct a cumulative frequency distribution table from the frequency table given below:
( i )
| Class Interval | Frequency |
| 0 - 8 | 9 |
| 8 - 16 | 13 |
| 16 - 24 | 12 |
| 24 - 32 | 7 |
| 32 - 40 | 15 |
( ii )
| Class Interval | Frequency |
| 1 - 10 | 12 |
| 11 - 20 | 18 |
| 21 - 30 | 23 |
| 31 - 40 | 15 |
| 41 - 50 | 10 |
Construct a cumulative frequency distribution table from the frequency table given below:
| Class Interval | Frequency |
| 0 -8 | 9 |
| 8 - 16 | 13 |
| 16 - 24 | 12 |
| 24 - 32 | 7 |
| 32 - 40 | 15 |
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 |
|
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 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 |
Observe the given frequency table to answer the following:
| Class Interval | 20 - 24 | 25 29 | 30 - 34 | 35 - 39 | 40 - 44 | 45 - 49 |
| Frequency | 6 | 12 | 10 | 15 | 9 | 2 |
a. The true class limits of the fifth class.
b. The size of the second class.
c. The class boundaries of the fourth class.
d. The upper and lower limits of the sixth class.
e. The class mark of the third class.
The range of the data 200, 15, 20, 103, 3, 196, is _____________
Size of the class 150 – 175 is ______.
Tally marks are used to find ______.
Upper limit of class interval 75 – 85 is ______.
In the class interval 20 – 30, the lower class limit is ______.
Using the following frequency table.
| Marks (obtained out of 10) | 4 | 5 | 7 | 8 | 9 | 10 |
| Frequency | 5 | 10 | 8 | 6 | 12 | 9 |
10 marks the highest frequency.
