In the Mathematical Practices for Working With Data Worksheet, we will solve many types of questions about data handling, frequency distribution, and grouping of data.
Data processing worksheet
1. Complete the field provided.
(i) __________ is the quick way to record the data.
(ii) A bar chart can be drawn with __________ or __________ bars.
(iii) Pictogram is the representation of data by __________.
(iv) __________ can be both numbers and words.
2.Carol wants to create a bar chart to show the number of 5, 20, 15, and 10. Which scale is better to use? Circle the correct answer.
(i) 1, 2, 3, 4, 5 ………… (ii) 5, 10, 15, 20 …………
3. Use a bar chart to view the data in the table. Use a suitable balance.
People who live in a colony

4th Ms. Thomas asked each of her students what their favorite dessert was. Based on her answers, she drew the bar graph.
Answer the following questions.
(i) What is the favorite dessert and how many students made this choice?
(ii) How can students choose Rasogolla as their favorite dessert?
(iii) What was the least popular dessert?
(iv) How many more students chose Jalebi as Barfi?
(v) How many students are there in the class?
Questions about frequency distribution and data analysis:
5. The number of members in 20 families is given below:
4, 6, 5, 5, 4, 6, 3, 3, 5, 5, 3, 5, 4, 4, 6, 7, 3, 5, 5, 7
Prepare a frequency distribution of the data.
6th A dice was thrown 30 times and the following results were recorded:
2, 1, 2, 4, 6, 1, 2, 3, 6, 5, 4, 4, 3, 1, 1, 3, 1, 1, 5, 6, 6, 2, 2, 3, 4, 2, 5, 5, 6, 4
Prepare a frequency table.
7th The following data indicate the number of children in 40 families:
1, 2, 6, 5, 1, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2, 2, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2, 2
Represent it in the form of a frequency distribution.
8th. The grades obtained by 40 students in a class on an exam are listed below:
8, 47, 22, 31, 17, 13, 38, 26, 3, 34, 29, 11, 22, 7, 15, 24, 38, 31, 21, 35, 42, 24, 45, 23, 21, 27, 29, 49, 25, 48, 21, 15, 18, 27, 19, 45, 14, 34, 37, 34
Prepare a frequency distribution table with equal class intervals from 0 to 10 (excluding 10).
9. The utility bills (in US dollars) for 25 homes in a given location for one month are shown below:
324, 700, 617, 400, 356, 365, 435, 506, 548, 736, 780, 378, 570, 685, 312, 630, 584, 674, 754, 776, 596, 745, 565, 763, 472
Arrange the above data in ascending order and form a frequency table with equal class intervals from 300 to 400, not including 400.
10. The weekly wages (in dollars) of 28 workers in a factory are shown below:
668, 610, 642, 658, 668, 620, 719, 720, 700, 690, 710, 642, 672, 654, 692, 706, 718, 702, 704, 678, 615, 640, 680, 716, 705, 615, 636, 656
Create a frequency table with equal class intervals, assuming the first of the class intervals to be 610630, not including 630.
Data processing worksheet
11. The weekly pocket cost (in US dollars) for 30 students in a class is shown below:
62, 80, 110, 75, 84, 73, 60, 62, 100, 87, 78, 94, 117, 86, 65, 68, 90, 80, 118, 72, 95, 72, 103, 96, 64, 94, 87, 85, 105, 115
Create a frequency table with class intervals 6070 (excluding 70) 7080, 8090, and so on.
12th The daily earnings (in US dollars) of 24 stores in a market were recorded as follows:
715, 650, 685, 550, 573, 530, 610, 525, 742, 680, 736, 524, 500, 585, 723, 545, 532, 560, 580, 545, 625, 630, 645, 700
Prepare a frequency table with equal class sizes. One such class is 500550, which does not include 550.
13th The heights (in cm) of 22 students were recorded as follows:
125, 132, 138, 144, 142, 136, 134, 125, 135, 130, 126, 132, 135, 142, 143, 128, 126, 136, 135, 130, 130, 133
Prepare a frequency distribution table, take equal class intervals, starting with 125130, not including 130.
14th Take a look at the bar graph below and choose the correct answer.
(i) Which festival do most students like?
(a) Holi (b) Diwali (c) Id (d) Christmas
(ii) Which festival do the minimum students like?
(a) Holi (b) Diwali (c) Id (d) Christmas
(iii) Which festivals like the same number of students?
(a) Diwali and Id (b) Holi and Christmas (c) Holi and Id (d) Diwali and Christmas
(iv) How many students like Holi?
(a) 3 (b) 4 (c) 6 (d) 20
(v) How many students do Id like?
(a) 2 (b) 4 (c) 6 (d) 10
(vi) Which festival do 10 students like?
(a) 2 (b) 4 (c) 6 (d) 10
Below are answers to the Data Processing Worksheet to help you review the exact answers to the data processing questions asked.
Reply:
1. (i) Counters
(ii) horizontal, vertical
(iii) images
(iv) data
2. (ii)
4th (i) Gulab Jamun, 14
(ii) 12
(iii) Barfi
(iv)
(v)
5.
Number of members  3  4th  5  6th  7th 
frequency 
6th
Result  1  2  3  4th  5  6th 
frequency 
7th
Wages (in dollars)  1  3  4th  5  6th  
frequency 
8th.
Markings  010  1020  2030  3040  4050 
frequency 
9.
Invoice amount (in dollars) 
300400  400500  500600  600700  700 – 800 
frequency 
10.
wage (in dollars) 
610630  630650  650670  670690  690710  710730 
frequency 
11.
costs (in dollars) 
6070  7080  8090  90100  100110  110120 
frequency 
12th
Daily income (in dollars) 
500550  550600  600650  650700  700750 
frequency 
13th
Height (in cm)  125130  130135  135140  140145 
frequency 
14th (i) (a)
(ii) (c)
(iii) (d)
(iv) (d)
(v) (d)
(vi) (c)
●Data processing
Data processing
Frequency distribution
Grouping of data
●Data processing worksheet
Data processing worksheet
8th grade math practice
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