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प्रश्न
Define the following term:
Frequency of an observation
उत्तर
Frequency of an observation is the number of times a certain value or a class of values occurs.
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संबंधित प्रश्न
Organise the following marks in a class assessment, in a tabular form.
4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7
- Which number is the highest?
- Which number is the lowest?
- What is the range of the data?
- Find the arithmetic mean.
Define the following term:
Observations
Define the following term:
Raw data
Define the following term:
Frequency distribution
Define the following term:
Discrete frequency distribution
In a study of number of accidents per day, the observations for 30 days were obtained as follows:
| 6, | 3, | 5, | 6, | 4, | 3, | 2, | 5, | 4, | 2, | 4, | 2, | 1, | 2, | 2, |
| 0, | 5, | 4, | 6, | 1, | 6, | 0, | 5, | 3, | 6, | 1, | 5, | 5, | 2, | 6 |
Prepare a frequency distribution table.
Prepare a frequency table of the following ages (in years) of 30 students of class VIII in your school:
13, 14, 13, 12, 14, 13, 14, 15, 13, 14, 13, 14, 16, 12, 14, 13, 14, 15, 16, 13, 14, 13, 12, 17, 13, 12, 13, 13, 13, 14
Construct a frequency table for the following weights (in gm) of 35 mangoes using the equal class intervals, one of them is 40-50 (45 not included):
30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37, 53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68.
(i) What is the class mark of the class interval 40-45?
(ii) What is the range of the above weights?
(iii) How many classes are there?
Construct a frequency table with class-intervals 0-5 (5 not included) of the following marks obtained by a group of 30 students in an examination.
0, 5, 7, 10, 12, 15, 20, 22, 25, 27, 8, 11, 17, 3, 6, 9, 17, 19, 21, 29, 31, 35, 37, 40, 42,45, 49, 4, 50, 16.
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 |
Prepare a tally marks table
Yamini did a project ‘Animals and Birds’. She asked each child in her class about one favorite pet animal.
She used tally marks to record each answer. For example, if someone said ‘cat’ she means 5 cats. In all 24 children said ‘cat’ was their favorite animal. Help Yamini complete the table.
| 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.
Using tally marks, which one of the following represents the number eight:
The choices of the fruits of 42 students in a class are as follows:
A, O, B, M, A, G, B, G, A, G, B, M, A, G, M, A, B, G, M, B, A, O, M, O, G, B, O, M, G, A, A, B, M, O, M, G, B, A, M, O, M, O, where A, B, G, M and O stand for the fruits Apple, Banana, Grapes, Mango and Orange respectively. Which two fruits are liked by an equal number of students?
An observation occurring seven times in a data is represented as ______ using tally marks.
The number of two wheelers owned individually by each of 50 families are listed below. Make a table using tally marks.
1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 3, 1, 2, 1, 1, 2, 1, 2, 3, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 4, 1, 3, 1, 1, 2, 1, 1, 1, 1, 2, 3, 2, 1, 1
Find the number of families having two or more, two wheelers.
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.
Following are the choices of games of 40 students of Class VI:
football, cricket, football, kho-kho, hockey, cricket, hockey, kho-kho, tennis, tennis, cricket, football, football, hockey, kho-kho, football, cricket, tennis, football, hockey, kho-kho, football, cricket, cricket, football, hockey, kho-kho, tennis, football, hockey, cricket, football, hockey, cricket, football, kho-kho, football, cricket, hockey, football.
(a) Arrange the choices of games in a table using tally marks.
(b) Which game is liked by most of the students?
(c) Which game is liked by minimum number of students?
In a Mathematics test, the following marks were obtained by 40 students. Arrange these marks in a table using tally marks.
| 8 | 1 | 3 | 7 | 6 | 5 | 5 | 4 | 4 | 2 |
| 4 | 9 | 5 | 3 | 7 | 1 | 6 | 5 | 2 | 7 |
| 7 | 3 | 8 | 4 | 2 | 8 | 9 | 5 | 8 | 6 |
| 7 | 4 | 5 | 6 | 9 | 6 | 4 | 4 | 6 | 6 |
How many students obtained marks below 4?
