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प्रश्न
Construct a frequency distribution table for the following marks obtained by 25 students in a history test in class VIII of a school:
9, 17, 12, 20, 9, 18, 25, 17, 19, 9, 12, 9, 12, 18, 17, 19, 20, 25, 9, 12, 17, 19, 19, 20, 9
(i) What is the range of marks?
(ii) What is the highest mark?
(iii) Which mark is occurring more frequently?
उत्तर
The frequency distribution table is given below:
| Age | Tally marks | Frequency |
| 9 | 6 | |
| 12 | |||| | 4 |
| 17 | |||| | 4 |
| 18 | || | 2 |
| 19 | |||| | 4 |
| 20 | ||| | 3 |
| 25 | || | 2 |
(i) The range of marks is 25-9, i.e. 16.
(ii) The highest mark is 25.
(iii) The mark that occurs most frequently is 9. It occurs 6 times.
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संबंधित प्रश्न
Define the following term:
Class-size
The weights of new born babies (in kg) in a hospital on a particular day are as follows:
2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4
(i) Rearrange the weights in descending order.
(ii) Determine the highest weight.
(iii) Determine the lowest weight.
(iv) Determine the range.
(v) How many babies were born on that day?
(vi) How many babies weigh below 2.5 kg?
(vii) How many babies weigh more than 2.8 kg?
(viii) How many babies weigh 2.8 kg?
The heights (in cm) of 30 students of class VIII 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.
The daily minimum temperatures in degrees Celsius recorded in a certain Arctic region are as follows:
−12.5, −10.8, −18.6, −8.4, −10.8, −4.2, −4.8, −6.7, −13.2, −11.8, −2.3, 1.2, 2.6, 0, −2.4, 0, 3.2, 2.7, 3.4, 0, −2.4, −2.4, 0, 3.2, 2.7, 3.4, 0, −2.4, −5.8, −8.9, −14.6, −12.3, −11.5, −7.8, −2.9
Represent them as frequency distribution table taking − 19.9 to − 15 as the first class interval.
The heights (in centimeters) of 40 children are.
| 110 | 112 | 112 | 116 | 119 | 111 | 113 | 115 | 118 | 120 |
| 110 | 113 | 114 | 111 | 114 | 113 | 110 | 120 | 118 | 115 |
| 112 | 110 | 116 | 111 | 115 | 120 | 113 | 111 | 113 | 120 |
| 115 | 111 | 116 | 112 | 110 | 111 | 120 | 111 | 120 | 111 |
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| Animal | Tally marks | Number |
| Cats |  |
24 |
| Dogs |  |
|
| Rabbits |  |
|
| Cows |  |
|
| Parrots |  |
|
| Goats |  |
|
| Squirrel |  |
- Look at the tally marks and write the number for each animal on the table. How many children in all did Yamini talk to?
- Which is the most favorite pet animal on this table?
- Which pet will you like to have? What will you name it? Which other animals can be kept at home? Discuss.
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In an examination, the grades achieved by 30 students of a class are given below. Arrange these grades in a table using tally marks:
B, C, C, E, A, C, B, B, D, D, D, D, B, C, C, C, A, C, B, E, A, D, C, B, E, C, B, E, C, D
Thirty students were interviewed to find out what they want to be in future. Their responses are listed as below:
doctor, engineer, doctor, pilot, officer, doctor, engineer, doctor, pilot, officer, pilot, engineer, officer, pilot, doctor, engineer, pilot, officer, doctor, officer, doctor, pilot, engineer, doctor, pilot, officer, doctor, pilot, doctor, engineer
Arrange the data in a table using tally marks.
Fill in the blanks in the following table which represents shirt size of 40 students of a school.
| Shirt size | Tally Marks | Number of students |
| 30 | ||| | 3 |
| 32 | `cancel(bb|bb|bb|bb|)` | ______ |
| 34 | ______ | 8 |
| 36 | `cancel(bb|bb|bb|bb|)` || | ______ |
| 38 | `cancel(bb|bb|bb|bb|)` ______ | 10 |
| 40 | ______ | 7 |
