### Data Handling - Worksheets

CBSE Worksheet-1

Class 08 - Mathematics (Data Handling)

Class 08 - Mathematics (Data Handling)

General Instructions: All questions are compulsory. Q.1 to Q.2 carries one mark each. Q.3 to Q.7 carries two marks each. Q.8 and Q.9 carries three marks each. Q.10 to Q.12 carries four marks each.

- A coin is tossed 200 times and head appeared 120 times. What is the probability of getting a head in this experiment?
- Listed below are the temperature in oC for 10 days. -6,-8,0,3,2,0,1,5,4,4

What is the range of the data? - State true or false
- Tally are usually marked in a bunch of 5.
- The grouped data are called raw data.
- The number of classes depends upon class marks.
- A deck of playing cards has in all 54 cards.

- Fill Up the following:
- Data collected directly from source is known as__________.
- The branch of mathematics which deals with the collection, presentation, analysis and interpretation of the numerical data is called ________.
- A researcher is gathering data from four geographical areas designated: South = 1; North = 2; East = 3; West = 4. The designated geographical regions represent ________.
- Each sector of a pie chart shows a ____________ of the total.

- Match the following:
Column A Column B 1. Pictographs represent data through appropriate (a) pie chart 2. A representation of data with the help of bars or rectangles in a diagram (b) double bar graph 3. A graph showing two sets of data simultaneously (c) bar diagram 4. A circle divided into several sectors (d) pictures - Find the Probability of getting a red apple.
- The following questions based on the pie chart:

(i) Which type of programmes are viewed the most ?

(ii) Which two types of programmes have number of viewers equal to those watching sports channels ? - The weekly wages (in dollars) of 28 workers of a factory are given 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 - The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions.
- In which subject did the students score 105 marks ?
- How many more marks were obtained by the student in Mathematics than in Hindi ?
- Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.

- The bar graph given below shows the sales of books(in thousands)from six branches of a publishing company during two consecutive years 2000 and 2001.
- What is the ratio of the total sales of branch B2 for both years to the total sales of branch B4 for both years?
- What is the average sale of all the branches (in thousands numbers) for the year 2000?
- Total sales of branches B6 for both the years is what percentage of the total sales of branches B3 for both the years?

- The annual attendance of 58 girls in Std. VIII is given below:

169, 168, 171, 180, 165, 190, 195,159, 153, 185, 158, 156, 163, 167, 179, 157, 174, 164, 184, 184, 175,179, 174, 183, 197, 172, 188, 172, 161, 173, 166, 166, 162, 170, 178,182, 178, 177, 171, 177, 177, 193, 187, 192, 182, 176, 176, 180,186, 181, 171, 178, 192, 177, 187, 191, 176, 164

Prepare a frequency table for the data using the class intervals as:

150-155, 155-160, 160-165, 165-170, 170-175, 175-180, 180-185, 185-190, 190-195, 195-200 - Draw a pie chart showing the following information. The table shows the colours prefered by a group of people.
Colours Number of people Blue 18 Green 9 Red 6 Yellow 3 Total 36 Find the proportion of each sector. For example, Blue is Green is and so on.Use this to find the corresponding angles.

CBSE Worksheet-1

Class 08 - Mathematics (Data Handling)

Solution

Class 08 - Mathematics (Data Handling)

Solution

- The probability of getting a head = 120/200 = 12/20 = 3/5
- Range = 5 – (-8) = 5 + 8 = 13 oC
- True
- False
- False
- False

- raw data
- statistics
- heights
- fraction

- (d)
- (c)
- (b)
- (a)

- Let the probability of red apples be n

n=No of favourable outcome/No of possible outcome

No of red apple=4

No of possible outcome=7

P(n) [ There are in all 7 apples cut of which 4 are red.] - (i) Entertainment programmes are viewed the most.

(ii) none is equal. - Construct a frequency table with equal class intervals, taking the first of the class intervals as 610-630, where 630 is not included.
Wages

(in Dollars)610-630 630-650 650-670 670-690 690-710 710-730 Frequency 4 4 5 3 7 5 - For 540 marks, the central angle = 360°

∴ For 105 marks, the central angle hence, the student scored 105 marks in Hindi. - Marks obtained by the students in Mathematics

Marks obtained by the students in Hindi = 105. hence, the student obtained 135 – 105 = 30 marks more in Mathematics than in Hindi. - Some of the central angles for Social Science and Mathematics.

= 65° + 90°

= 155°

Sum of the central angles for Science and Hindi.

= 80° + 70°

= 150° hence, the sum of the marks obtained in Social Science and Mathematics is more than in Science and Hindi.

- For 540 marks, the central angle = 360°
- Sales of branch B2 for both years = 75 + 65 = 140

Sales of branch B4 for both years = 85 + 95 = 180

Required ratio = 140/180 = 7/9 = 7:9 - Average sales of all the six branches (in thousand numbers) for the year 2000 = 1/6 × (80 + 75 + 95 + 85 + 75+70) = 80
- Total sales of branch B6 for both the years = 70+ 80 = 150

Total sales of branch B3 for both the years = 95 + 110 = 205

Required percentage

- Sales of branch B2 for both years = 75 + 65 = 140
Frequency Distribution Table Class interval attendance Tally Marks Frequency 150 - 155 I 1 155 - 160 IIII 4 160 - 165 ~~IIII~~5 165 - 170 ~~IIII~~I6 170 - 175 ~~IIII~~~~IIII~~10 175 - 180 ~~IIII~~~~IIII~~IIII14 180 - 185 ~~IIII~~II7 185 - 190 ~~IIII~~5 190 -195 ~~IIII~~5 195 - 200 I 1 Total 58 Colours Number of people Proportion Correspon-ding angle Blue 18 × 360° = 180 Green 9 × 360° = 90 Red 6 × 360° = 60 Yellow 3 × 360° = 30