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Question
What is the upper class limit for the class 25-35?
Options
25
35
60
30
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Solution
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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.
In the table given below, class-mark and frequencies are given. Construct the frequency table taking inclusive and exclusive classes.
| Class width | Frequency |
| 22 | 6 |
| 24 | 7 |
| 26 | 13 |
| 28 | 4 |
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
29.2, 29.0, 28.1, 28.5, 32.9, 29.2, 34.2, 36.8, 32.0, 31.0, 30.5, 30.0, 33, 32.5, 35.5, 34.0, 32.9, 31.5, 30.3, 31.4, 30.3, 34.7, 35.0, 32.5, 33.5, 29.0, 29.5, 29.9, 33.2, 30.2
From the table, answer the following questions.
- For how many days the maximum temperature was less than 34oC?
- For how many days the maximum temperature was 34oC or more than 34oC?
The value of π up to 50 decimal place is
3.14159265358979323846264338327950288419716939937510
(i) Make a frequency distribution table of digits from 0 to 9 after the decimal place.
(ii) Which are the most and least occurring digits?
Construct the frequency distribution table from the following cumulative frequency table:
| Ages | No. of students |
| Below 4 | 0 |
| Below 7 | 85 |
| Below 10 | 140 |
| Below 13 | 243 |
| Below 16 | 300 |
(i) State the number of students in the age group 10 - 13.
(ii) State the age-group which has the least number of students.
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 |
The marks of 24 candidates in the subject mathematics are given below:
| 45 | 48 | 15 | 23 | 30 | 35 | 40 | 11 |
| 29 | 0 | 3 | 12 | 48 | 50 | 18 | 30 |
| 15 | 30 | 11 | 42 | 23 | 2 | 3 | 44 |
The maximum marks are 50. Make a frequency distribution taking class intervals 0 - 10, 10-20, .......
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
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.
If a class size is 10 and range is 80 then the number of classes are ___________
Form a continuous frequency distribution table for the marks obtained by 30 students in a X std public examination.
328, 470, 405, 375, 298, 326, 276, 362, 410, 255, 391, 370, 455, 229, 300, 183, 283, 366, 400, 495, 215, 157, 374, 306, 280, 409, 321, 269, 398, 200
The number of times an observation occurs in the given data is called ________
In a class interval the upper limit of one class is the lower limit of the other class. This is _________ series
In the class interval 20 – 30, the lower class limit is ______.
The number of times a particular observation occurs in a given data is called its ______.
The class size of the interval 80 – 85 is ______.
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.
The class size of the class interval 60 – 68 is 8.
Given below is a frequency distribution table. Read it and answer the questions that follow:
| Class Interval | Frequency |
| 10 – 20 | 5 |
| 20 – 30 | 10 |
| 30 – 40 | 4 |
| 40 – 50 | 15 |
| 50 – 60 | 12 |
- What is the lower limit of the second class interval?
- What is the upper limit of the last class interval?
- What is the frequency of the third class?
- Which interval has a frequency of 10?
- Which interval has the lowest frequency?
- What is the class size?
