Advertisements
Advertisements
Question
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?
Advertisements
Solution
- The lower limit of second class interval (20 – 30) is 20.
- The upper limit of the last class interval (50 – 60) is 60.
- The frequency of the third class (30 – 40) is 4.
- The interval (20 – 30) has a frequency of 10.
- The interval (30 – 40) has the lowest frequency, i.e. 4.
- We know that, Class size = Upper class limit – Lower class limit
Consider first class, i.e. 10 – 20, then class size = 20 – 10 = 10
APPEARS IN
RELATED QUESTIONS
In a ‘tree plantation’ project of a certain school there are 45 students of 'Harit Sena'. The record of trees planted by each student is given below:
3, 5, 7, 6, 4, 3, 5, 4, 3, 5, 4, 7, 5, 3, 6, 6, 5, 3, 4, 5, 7, 3, 5, 6, 4, 4, 3, 5, 6, 6, 4, 3, 5, 7, 3, 4, 5, 7, 6, 4, 3, 5, 4, 4, 7.
Prepare a frequency distribution table of the data.
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?
Construct a frequency distribution table from the following cumulative frequency distribution:
| Class Interval | Cumulative Frequency |
| 10 - 19 | 8 |
| 20 - 29 | 19 |
| 30- 39 | 23 |
| 40- 49 | 30 |
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 frequency distribution with classes 0 – 10, 10 – 20 etc., the size of the class intervals is 10. The lower limit of fourth class is ______.
In the class interval 26 – 33, 33 is known as ______.
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?
Complete the following table:
| Weights (in kg.) |
Tally Marks | Frequency (Number of persons) |
| 40 – 50 | `\cancel(bb|bb|bb|bb|) \cancel(bb|bb|bb|bb|) bb|bb|` | |
| 50 – 60 | `\cancel(bb|bb|bb|bb|) \cancel(bb|bb|bb|bb|) bb|bb|bb|bb|` | |
| 60 – 70 | `\cancel(bb|bb|bb|bb|) bb|` | |
| 70 – 80 | `bb|bb|` | |
| 80 – 90 | `bb|` |
Find the total number of persons whose weights are given in the above table.
