Data Handling - I (Classification and Tabulation of Data) Maths - Data Handling - I (Classification and Tabulation of Data)

The following is the distribution of weights (in kg) of 52 persons:

Weight in kg	Persons
30-40	10
40-50	15
50-60	17
60-70	6
70-80	4

1. What is the lower limit of class 50-60?
2. Find the class marks of the classes 40-50, 50-60.
3. What is the class size?

The marks obtained by 40 students of class VIII in an examination are given below:
16, 17, 18, 3, 7, 23, 18, 13, 10, 21, 7, 1, 13, 21, 13, 15, 19, 24, 16, 3, 23, 5, 12, 18, 8, 12, 6, 8, 16, 5, 3, 5, 0, 7, 9, 12, 20, 10, 2, 23.
Divide the data into five groups, namely 0-5, 5-10, 10-15, 15-20 and 20-25 and prepare a grouped frequency table.

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.

A die was thrown 25 times and following scores were obtained:
1, 5, 2, 4, 3, 6, 1, 4, 2, 5, 1, 6, 2, 6, 3, 5, 4, 1, 3, 2, 3, 6, 1, 5, 2.
Prepare a frequency table of the scores.

The marks scored by 20 students in a test are given below:
54, 42, 68, 56, 62, 71, 78, 51, 72, 53, 44, 58, 47, 64, 41, 57, 89, 53, 84, 57.
Complete the following frequency table:

(Marks in class intervals)	Tally marks	Frequency (no. of children)
40-50
50-60
60-70
70-80
80-90

What is the class interval in which the greatest frequency occurs?

Following figures relate to the weekly wages (in Rs) of 15 workers in a factory: 300, 250, 200, 250, 200, 150, 350, 200, 250, 200, 150, 300, 150, 200, 250.Prepare a frequency table:

1. What is the range in wages (in Rs)?
2. How many workers are getting Rs 350?
3. How many workers are getting the minimum wages?

The final marks in mathematics of 30 students are as follows:
53, 61, 48, 60, 78, 68, 55, 100, 67, 90, 75, 88, 77, 37, 84, 58, 60, 48, 62, 56, 44, 58, 52, 64, 98, 59, 70, 39, 50, 60.
Now answer the following:

1. Arrange these marks in the ascending order, 30 to 39 one group, 40 to 49 second group etc.
2. What is the highest score?
3. What is the lowest score?
4. What is the range?
5. If 40 is the pass mark how many have failed?
6. How many have scored 75 or more?
7. Which observations between 50 and 60 have not actually appeared?
8. How many have scored less than 50?

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.

1. What is the class mark of the class interval 40-45?
2. What is the range of the above weights?
3. How many classes are there?

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.

1. Rearrange the weights in descending order.
2. Determine the highest weight.
3. Determine the lowest weight.
4. Determine the range.
5. How many babies were born on that day?
6. How many babies weigh below 2.5 kg?
7. How many babies weigh more than 2.8 kg?
8. How many babies weigh 2.8 kg?

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 marks scored by 40 students of class VIII in mathematics are given below:
81, 55, 68, 79, 85, 43, 29, 68, 54, 73, 47, 35, 72, 64, 95, 44, 50, 77, 64, 35, 79, 52, 45, 54, 70, 83, 62, 64, 72, 92, 84, 76, 63, 43, 54, 38, 73, 68, 52, 54.
Prepare a frequency distribution with class size of 10 marks.

Construct a frequency table with equal class intervals from the following data on the monthly wages (in rupees) of 28 labourers working in a factory, taking one of the class intervals as 210-230 (230 not included):
220, 268, 258, 242, 210, 268, 272, 242, 311, 290, 300, 320, 319, 304, 302, 318, 306, 292, 254, 278, 210, 240, 280, 316, 306, 215, 256, 236.

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.

1. What is the range of marks?
2. What is the highest mark?
3. Which mark is occurring more frequently?

The monthly wages of 30 workers in a factory are given below:
830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 836, 878, 840, 868, 890, 806, 840, 890.
Represent the data in the form of a frequency distribution with class size 10.

Define the following term:
Grouped frequency distribution.

Define the following term:
Frequency of an observation.

Define the following term:
Class-size.

Define the following term:
Discrete frequency distribution.

Define the following term:
Raw data.