Advertisements
Advertisements
Question
The marks obtained (out of 20) by 30 students of a class in a test are as follows:
14, 16, 15, 11, 15, 14, 13, 16, 8, 10, 7, 11, 18, 15, 14, 19, 20, 7, 10, 13, 12, 14, 15, 13, 16, 17, 14, 11, 10, 20.
Prepare a frequency distribution table for the above data using class intervals of equal width in which one class interval is 4 – 8 (excluding 8 and including 4).
Advertisements
Solution
| Class interval | Tally marks | Frequency |
| 4 – 8 | `bb|bb|` | 2 |
| 8 – 12 | `\cancel(bb|bb|bb|bb|) bb|bb|` | 7 |
| 12 – 16 | `\cancel(bb|bb|bb|bb|) \cancel(bb|bb|bb|bb|) bb|bb|bb|` | 13 |
| 16 – 20 | `\cancel(bb|bb|bb|bb|) bb|` | 6 |
| 20 – 24 | `bb|bb|` | 2 |
| Total | 30 |
APPEARS IN
RELATED QUESTIONS
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` | |
| 15 - 16 | `bb|bb|bb|bb|` | `square` |
| `bb(N = sumf = 35)` |
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.
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 number of chapatis that 30 children in a hostel need at every meal is given below. Make a frequency table for these scores.
3, 2, 2, 3, 4, 5, 4, 3, 4, 5, 2, 3, 4, 3, 2, 5, 4, 4, 4, 3, 3, 2, 2, 2, 3, 4, 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.
The upper limit of the class interval (25 - 35) is _____________
The number of times a particular observation occurs in a given data is called its ______.
If the fifth class interval is 60 – 65, fourth class interval is 55 – 60, then the first-class interval is 45 – 50.
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?
