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प्रश्न
The scores (out of 100) obtained by 33 students in a mathematics test are as follows:
69, 48, 84, 58, 48, 73, 83, 48, 66, 58, 84, 66, 64, 71, 64, 66, 69, 66, 83, 66, 69, 71, 81, 71, 73, 69, 66, 66, 64, 58, 64, 69, 69
Represent this data in the form of a frequency distribution.
उत्तर
The number of students who have the same marks in mathematics is called the frequency of that mark.
A frequency distribution table for the given data is given below:
| Scores | Tally marks | Frequency |
| 48 | `bb|bb|bb|` | 3 |
| 58 | `bb|bb|bb|` | 3 |
| 64 | `bb|bb|bb|bb|` | 4 |
| 66 | `\cancel(bb|bb|bb|bb|) bb|bb|` | 7 |
| 69 | `\cancel(bb|bb|bb|bb|) bb|` | 6 |
| 71 | `bb|bb|bb|` | 3 |
| 73 | `bb|bb|` | 2 |
| 81 | `bb|` | 1 |
| 83 | `bb|bb|` | 2 |
| 84 | `bb|bb|` | 2 |
| Total | 33 |
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संबंधित प्रश्न
The blood groups of 30 students of Class VIII are recorded as follows:-
A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O, A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O.
Represent this data in the form of a frequency distribution table. Which is the most common, and which is the rarest, blood group among these students?
A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city. The data obtained for 30 days is as follows:-
| 0.03 | 0.08 | 0.08 | 0.09 | 0.04 | 0.17 |
| 0.16 | 0.05 | 0.02 | 0.06 | 0.18 | 0.20 |
| 0.11 | 0.08 | 0.12 | 0.13 | 0.22 | 0.07 |
| 0.08 | 0.01 | 0.10 | 0.06 | 0.09 | 0.18 |
| 0.11 | 0.07 | 0.05 | 0.07 | 0.01 | 0.04 |
(i) Make a grouped frequency distribution table for this data with class intervals as 0.00 - 0.04, 0.04 - 0.08, and so on.
(ii) For how many days, was the concentration of sulphur dioxide more than 0.11 parts per million?
The heights (in cm) of 30 students of class IX are given below:
155, 158, 154, 158, 160, 148, 149, 150, 153, 159, 161, 148, 157, 153, 157, 162, 159, 151, 154, 156, 152, 156, 160, 152, 147, 155, 163, 155, 157, 153
Prepare a frequency distribution table with 160-164 as one of the class intervals.
Three coins were tossed 30 times. Each time the number of head occurring was noted down
as follows:
0 1 2 2 1 2 3 1 3 0
1 3 1 1 2 2 0 1 2 1
3 0 0 1 1 2 3 2 2 0
The following cumulative frequency distribution table shows the daily electricity consumption (in kW) of 40 factories in an industrial state:
| Consumption (in kW) | No. of Factories |
| Below 240 | 1 |
| Below 270 | 4 |
| Below 300 | 8 |
| Below 330 | 24 |
| Below 360 | 33 |
| Below 390 | 38 |
| Below 420 | 40 |
(i) Represent this as a frequency distribution table.
(ii) Prepare a cumulative frequency table.
In a frequency distribution, the mid-value of a class is 15 and the class intervals is 4. The lower limit of the class is
The mid-value of a class interval is 42. If the class size is 10, then the upper and lower limits of the class are:
The width of each of nine classes in a frequency distribution is 2.5 and the lower class boundary of the lowest class 10.6. Then the upper class boundary of the highest class is
The following marks were obtained by the students in a test:
81, 72, 90, 90, 86, 85, 92, 70, 71, 83, 89, 95, 85, 79, 62
The range of the marks is
The width of each of five continuous classes in a frequency distribution is 5 and the lower class-limit of the lowest class is 10. The upper class-limit of the highest class is ______.
