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

 person Men Mrs children number 50 40 20th

4th Ms. Thomas asked each of her students what their favorite dessert was. Based on her answers, she drew the bar graph.

(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 610-630, 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 60-70 (excluding 70) 70-80, 80-90, 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 500-550, 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 125-130, 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

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 4th 4th 7th 3 2

6th

 Result 1 2 3 4th 5 6th frequency 6th 6th 4th 5 4th 5

7th

 Wages (in dollars) 1 2 3 4th 5 6th frequency 4th 7th 12th 5 6th 3 3

8th.

 Markings 0-10 10-20 20-30 30-40 40-50 frequency 3 8th 14th 9 6th

9.

 Invoice amount (in dollars) 300-400 400-500 500-600 600-700 700 – 800 frequency 5 3 6th 4th 7th

10.

 wage(in dollars) 610-630 630-650 650-670 670-690 690-710 710-730 frequency 4th 4th 5 3 7th 5

11.

 costs (in dollars) 60-70 70-80 80-90 90-100 100-110 110-120 frequency 6th 5 7th 5 3 4th

12th

 Daily income (in dollars) 500-550 550-600 600-650 650-700 700-750 frequency 7th 5 4th 3 5

13th

 Height (in cm) 125-130 130-135 135-140 140-145 frequency 5 7th 6th 4th

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