Height in cm | $$135-140$$ | $$140-145$$ | $$145-150$$ | $$150-155$$ | $$155-160$$ | $$160-165$$ | $$165-170$$ |

No. of boys | $$4$$ | $$8$$ | $$20$$ | $$14$$ | $$7$$ | $$6$$ | $$1$$ |

Class | Frequency |

$$15-20$$ | $$20$$ |

$$20-25$$ | $$30$$ |

$$25-30$$ | $$50$$ |

$$30-35$$ | $$40$$ |

$$35-40$$ | $$25$$ |

$$40-45$$ | $$10$$ |

$${32}^{o}$$ | $${34}^{o}$$ | $${36}^{o}$$ | $${37}^{o}$$ | $${38}^{o}$$ | |

$${34}^{o}$$ | $${31}^{o}$$ | $${34}^{o}$$ | $${37}^{o}$$ | $${37}^{o}$$ | |

$${37}^{o}$$ | $${35}^{o}$$ | $${32}^{o}$$ | $${34}^{o}$$ | $${38}^{o}$$ | |

$${39}^{o}$$ | $${31}^{o}$$ | $${36}^{o}$$ | $${36}^{o}$$ | $${39}^{o}$$ | |

$${34}^{o}$$ | $${33}^{o}$$ | $${35}^{o}$$ | $${34}^{o}$$ | $${33}^{o}$$ | |

$${37}^{o}$$ | $${33}^{o}$$ | $${32}^{o}$$ | $${34}^{o}$$ | $${38}^{o}$$ |

| Almond | Karanj | Neem | Ashok | Gulmohar | |

Nutan Vidyalaya | 40 | 60 | 72 | 15 | 42 | |

Bharat Vidyalaya | 42 | 38 | 60 | 25 | 40 |

Size$$2:20$$ Size$$3:30$$ Size$$4:28$$ Size$$5:14$$ Size$$6:8$$

Write this information in tabular form as done earlier and find the percentage of each shoe size available in the shop.

Units of a Good | $$1$$ | $$2$$ | $$3$$ | $$4$$ | $$5$$ | $$6$$ |

$$TR (Rs.)$$ | $$4$$ | $$7$$ | $$9$$ | $$10$$ | $$10$$ | $$9$$ |

Marks | No. of students |

$$1-20$$ | $$8$$ |

$$21-40$$ | $$12$$ |

$$41-50$$ | $$15$$ |

$$51-60$$ | $$20$$ |

$$61-70$$ | $$13$$ |

$$71-80$$ | $$17$$ |

$$81-90$$ | $$5$$ |

What percentage of the total number of students have their heights more than 149 cm?

$$16, 15, 7, 4.5, 8.5, 5.5, 5, 6.5, 6, 10, 12, 13, 4.5, 4.9, 16, 11, 9.2, 7.3, 11.4, 12.7, 13.9, 16, 5.5, 9.9, 8.4, 11.4, 13.1, 15, 4.8, 10, 7.5, 8.5, 6.5, 7.2, 4.5, 5.7, 16, 5.7, 6.9, 8.9, 9.2, 10.2, 12.3, 13.7, 14.5, 10$$.

By taking inclusive classes $$0-5, 5-10, 10-15....$$ prepare a grouped frequency distribution table.

$$\text{years - months:}$$

$$8-6,9-0,8-4,9-3,7-8,8-11,8-7,9-2,7-10,8-8$$

What is the lowest age?

The following are the favorite cartoon characters of $$15$$ children.

Doraemon, Jerry, Mickey mouse, Jerry, Tom, Doraemon, Doraemon, Mickey Mouse, Mickey mouse, Jerry, Jerry, Jerry, Doraemon, Doraemon, Doraemon.Arrange the names of the cartoon characters in a table using tally marks.

The school wants to provide a particular type of tonic to each student below the height of 150 cm to improve his height. If the cost of the tonic for each student comes out to be Rs 55, how much amount of money is required?

On which day was the temperature highest for the second week?

study the bar graph and answer the following question:

State the language other than english in which the number of newspaper published is between 2500 and 3500.

Observe the table and answer the following questions.

During which hour was there a constant temperature?

Using the Bar graph, answer the following question:

What is the average number of tickets sold per student?

Find the percentage occupied by the music which is least liked?

Sl. No | Marks | No of students |

$$1$$ | $$0 - 5$$ | $$5$$ |

$$2$$ | $$5 - 10$$ | $$7$$ |

$$3$$ | $$10 - 15$$ | $$10$$ |

$$4$$ | $$15 - 20$$ | $$6$$ |

$$5$$ | $$20 - 25$$ | $$2$$ |

Sl. No | Marks | No of students |

$$1$$ | $$0 - 5$$ | $$5$$ |

$$2$$ | $$5 - 10$$ | $$7$$ |

$$3$$ | $$10 - 15$$ | $$10$$ |

$$4$$ | $$15 - 20$$ | $$6$$ |

$$5$$ | $$20 - 25$$ | $$2$$ |

Class | $$60-70$$ | $$70-80$$ | $$80-90$$ | $$90-100$$ | Total |

Frequency | $$\dfrac{a}{2}$$ | $$\dfrac{3a}{2}$$ | $$2a$$ | $$a$$ | $$50$$ |

Modes of Transport | Number of Students |

Bicycle | $$140$$ |

Bus | $$100$$ |

Walk | $$70$$ |

Train | $$40$$ |

Car | $$10$$ |

Years | Wheat | Barley | Oats |

1991 | 34 | 18 | 27 |

1992 | 43 | 14 | 24 |

1993 | 43 | 16 | 27 |

1994 | 45 | 13 | 34 |

Simple Bar Diagram and Multiple Bar Diagram

Histogram is a type of diagram.

Simple Bar Diagram and Multiple Bar Diagram.

Percentage Bar

What is a Multiple Bar Diagram?

Prepare a Multiple Bar Diagram from the following data.

Product | Production (in million tonnes) | ||

2008 | 2009 | 2010 | |

Rice | 300 | 350 | 400 |

Wheat | 200 | 275 | 300 |

Sugar | 100 | 120 | 160 |

There is a only one type of diagram.

What are the general principles for the construction of a diagram?

Distance in km | Distance in km | |

From/ To | $$A$$ | $$B$$ |

$$D$$ | $$7$$ | $$3$$ |

$$E$$ | $$6$$ | $$4$$ |

$$F$$ | $$3$$ | $$2$$ |

What is a Simple Bar Diagram?

Construct a Simple bar diagram from the following data

Year | 2001 | 2002 | 2003 | 2004 | 2005 |

No of Workers | 40 | 80 | 120 | 160 | 240 |

Multiple Bar Diagram

What is a sub divided bar diagram?

Draw a sub divided bar diagram from the following data?

Stream | No of Students | |||

2009 | 2010 | 2011 | ||

Arts | 50 | 70 | 75 | |

Science | 200 | 250 | 300 | |

Commerce | 100 | 120 | 130 |

Units of Labour | $$TP$$ | $$AP$$ | $$MP$$ |

$$1$$ $$2$$ $$3$$ $$4$$ $$5$$ $$6$$ $$7$$ $$8$$ | $$4$$ $$12$$ $$24$$ $$32$$ $$36$$ $$36$$ $$28$$ $$16$$ | - - - - - - - - | - - - - - - - - |

Price (Rs.) | Quantity Demanded by Isla (Units) | Quantity Demanded by Ifraah (Units) | Quantity Demanded by Ila (Units) | Quantity Demanded by Ibema (Units) |

$$1$$ $$2$$ $$3$$ $$4$$ $$5$$ $$6$$ | $$16$$ $$11$$ $$7$$ $$4$$ $$2$$ $$1$$ | $$7$$ $$6$$ $$5$$ $$4$$ $$3$$ $$2$$ | $$15$$ $$12$$ $$9$$ $$6$$ $$3$$ $$0$$ | $$8$$ $$6$$ $$4$$ $$2$$ $$0$$ $$0$$ |

Price (Rs.) | Demand Schedule of Mohan (Units) | Demand Schedule of Rohan (Units) | Demand Schedule of Mitu (Units) |

$$1$$ $$2$$ $$3$$ $$4$$ $$5$$ | $$60$$ $$50$$ $$40$$ $$30$$ $$20$$ | $$55$$ $$40$$ $$25$$ $$10$$ $$0$$ | $$24$$ $$13$$ $$5$$ $$0$$ $$0$$ |

Price (Rs.) | Household $$A$$ (Units) | Household $$B$$ (Units) | Household $$C$$ (Units) | Market Demand (Units) |

$$7$$ $$6$$ $$5$$ $$4$$ $$3$$ | $$6$$ $$8$$ $$12$$ $$17$$ $$24$$ | - - - - - | $$11$$ $$16$$ $$22$$ $$30$$ $$42$$ | $$26$$ $$36$$ $$51$$ $$71$$ $$98$$ |

Employment of Variable Factor (Units) | Employment of Fixed Factor (Units) | Total Physical Product (Units) |

$$0$$ $$1$$ $$2$$ $$3$$ $$4$$ $$5$$ $$6$$ $$7$$ | $$5$$ $$5$$ $$5$$ $$5$$ $$5$$ $$5$$ $$5$$ $$5$$ | $$0$$ $$10$$ $$24$$ $$40$$ $$56$$ $$70$$ $$80$$ $$84$$ |

Units of Labour | $$1$$ | $$2$$ | $$3$$ | $$4$$ | $$5$ | $$6$$ | $$7$$ | $$8$$ |

Units of output | $$4$$ | $$12$$ | $$24$$ | $$32$$ | $$36$$ | $$36$$ | $$28$$ | $$16$$ |

Output (Units) | Total Cost (Rs.) | Average Variable Cost (Rs.) | Marginal Cost (Rs.) | Average Fixed Cost (Rs.) |

$$0$$ $$1$$ $$2$$ $$3$$ $$4$$ $$5$$ | $$30$$ - $$68$$ $$84$$ - $$125$$ | - - - $$18$$ - $$19$$ | - $$20$$ - - $$18$$ - | - - - - - $$6$$ |

Price of Commodity - $$X (Rs.)$$ | Demand of $$A$$ (Units) | Demand of $$B$$ (Units) |

$$1$$ $$2$$ $$3$$ $$4$$ $$5$$ | $$9$$ $$7$$ $$6$$ $$4$$ $$3$$ | $$7$$ $$6$$ $$5$$ $$4$$ $$3$$ |

Units Sold | Price (Rs.) | Total Revenue (Rs.) | Marginal Revenue (Rs.) |

$$5$$ $$4$$ $$3$$ | $$6$$ $$7$$ $$8$$ | - - - | - - - |

Units of Production | Total Revenue (Rs.) | Average Revenue (Rs.) | Marginal Revenue (Rs.) |

$$1$$ $$2$$ $$3$$ $$4$$ $$5$$ $$6$$ $$7$$ | $$20$$ $$36$$ $$48$$ $$56$$ $$60$$ $$60$$ $$56$$ | - | - |

Output (Units) | Average Fixed Cost (Rs.) | Average Variable Cost (Rs.) | Marginal Cost (Rs.) | Total Cost (Rs.) |

$$1$$ $$2$$ $$3$$ $$4$$ $$5$$ | $$120$$ $$60$$ - $$30$$ - | $$40$$ $$56$$ $$54$$ - - | - - - $$54$$ - | - $$232$$ - - - |

Output (Units) | Price (Rs.) | Total Revenue (Rs.) | Marginal Revenue (Rs.) |

$$1$$ $$2$$ $$3$$ $$4$$ | - - - - | $$6$$ - - - | - $$2$$ $$-2$$ $$-2$$ |

Output (Units) | Total Cost (Rs.) | Average Variable Cost (Rs.) | Marginal Cost (Rs.) | Average Fixed Cost (Rs.) |

$$0$$ $$1$$ $$2$$ $$3$$ $$4$$ $$5$$ | $$30$$ - $$78$$ - - $$150$$ | - - - $$23$$ - - | - $$25$$ - - $$23$$ - | - $$30$$ - $$10$$ - $$6$$ |

Output (Units) | Average Revenue (Rs.) | Marginal Revenue (Rs.) | Total Revenue (Rs.) |

$$1$$ $$2$$ $$3$$ $$4$$ | - - $$11$$ - | $$15$$ - - $$3$$ | - $$26$$ - - |

Output (Units) | Marginal Cost (Rs.) | Average Variable Cost (Rs.) | Total Cost (Rs.) | Average Fixed Cost (Rs.) |

$$1$$ $$2$$ $$3$$ $$4$$ $$5$$ | $$60$$ - - $$54$$ - | - - $$54$$ - $$57$$ | $$120$$ $$174$$ - - $$345$$ | - - - $$15$$ - |

Output (Units) | Average Fixed Cost (Rs.) | Marginal Cost (Rs.) | Average Variable Cost (Rs.) | Average Cost (Rs.) |

$$1$$ $$2$$ $$3$$ $$4$$ $$5$$ | $$60$$ - $$20$$ - $$12$$ | $$20$$ - - $$18$$ - | - $$19$$ $$18$$ - - | - - - - $$31$$ |

Price (Rs.) | $$10$$ | $$9$$ |

Sale/ Demand (Units) | $$100$$ | $$110$$ |

Output (Units) | Price (Rs.) | Marginal Revenue (Rs.) | Total Revenue (Rs.) |

$$1$$ $$2$$ $$3$$ $$4$$ | - - $$22$$ - | $$30$$ - - $$6$$ | - $$52$$ - - |

Quantity Sold (Units) | Total Revenue (Rs.) | Total Cost (Rs.) |

$$5$$ $$6$$ $$7$$ $$8$$ $$9$$ $$10$$ | $$15$$ $$20$$ $$25$$ $$30$$ $$35$$ $$40$$ | $$18$$ $$22$$ $$26$$ $$27$$ $$32$$ $$38$$ |

Daily income (in Rupees) | $$250-300$$ | $$300-350$$ | $$350-400$$ | $$400-450$$ | $$450-500$$ |

Number of workers | $$12$$ | $$14$$ | $$8$$ | $$6$$ | $$10$$ |

Quantity Sold (Units) | Total Revenue (Rs.) | Marginal Cost (Rs.) |

$$1$$ $$2$$ $$3$$ $$4$$ $$5$$ | $$12$$ $$26$$ $$34$$ $$40$$ $$42$$ | $$15$$ $$9$$ $$6$$ $$2$$ $$3$$ |

Quantity Sold (Units) | Price (Rs. per unit) | Average Cost (Rs.) |

$$1$$ $$2$$ $$3$$ $$4$$ $$5$$ | $$15$$ $$16$$ $$17$$ $$18$$ $$19$$ | $$15$$ $$12$$ $$10$$ $$12$$ $$14$$ |

Profit (in lakhs in Rs.) | Number of shops (Frequency) |

More than or equal to $$5$$ | $$30$$ |

More than or equal to $$10$$ | $$28$$ |

More than or equal to $$15$$ | $$16$$ |

More than or equal to $$20$$ | $$14$$ |

More than or equal to $$25$$ | $$10$$ |

More than or equal to $$30$$ | $$7$$ |

More than or equal to $$35$$ | $$3$$ |

Height | No. of trees |

Less than $$7$$ | $$26$$ |

Less than $$14$$ | $$57$$ |

Less than $$21$$ | $$92$$ |

Less than $$28$$ | $$134$$ |

Less than $$35$$ | $$216$$ |

Less than $$42$$ | $$287$$ |

Less than $$49$$ | $$341$$ |

Less than $$56$$ | $$360$$ |

Output (Units) | Price (Rs.) | Total Revenue (Rs.) | Marginal Revenue (Rs.) |

- - - - | $$10$$ $$7$$ $$5$$ $$3$$ | - - - - | $$10$$ $$4$$ $$1$$ $$-3$$ |

Units of Output | Total Revenue (Rs.) | Average Revenue (Rs.) | Marginal Revenue (Rs.) |

$$1$$ $$2$$ $$3$$ | - - - | $$10$$ $$8$$ $$6$$ | - - - |

Price (Rs.) | Output (Units) | Total Revenue (Rs.) | Marginal Revenue (Rs.) |

$$7$$ - - $$1$$ | - $$2$$ $$3$$ - | $$7$$ $$10$$ - - | - - $$-1$$ $$-5$$ |

Marks | 0 or more | 10 or more | 20 or more | 30 or more | 40 or more | 50 or more |

Number of Students | 63 | 58 | 55 | 51 | 48 | 42 |

(b) Calculate the class mark of the class 10 - 20.

Weight (in $$kg$$) | Number of students |

Less than $$38$$ | $$0$$ |

Less than $$40$$ | $$3$$ |

Less than $$42$$ | $$5$$ |

Less than $$44$$ | $$9$$ |

Less than $$46$$ | $$14$$ |

Less than $$48$$ | $$28$$ |

Less than $$50$$ | $$32$$ |

Less than $$52$$ | $$35$$ |

$$4,6,7,5,6,5,4,5,2,6,2,5,1,9,6,5,8,4,6,7$$

Items | Quantity | Price for $$1$$ kilogram (in rupees) | Total price |

Tomato | $$2$$ kg | $$20\dfrac{1}{2}$$ | $$41$$ rupees |

Potato | $$3\dfrac{1}{2}$$ kg | $$25$$ | - |

Peas | $$5$$ kg | $$30\dfrac{1}{2}$$ | - |

Dal | $$2\dfrac{1}{4}$$ kg | $$32$$ | - |

Amount | Number of students |

$$0-10$$ | $$3$$ |

$$10-20$$ | $$4$$ |

$$20-30$$ | $$5$$ |

$$30-40$$ | $$2$$ |

$$40-50$$ | $$1$$ |

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

(a) How many babies were born on that day?

(b) How many babies weigh below 2.5 kg?

(c) How many babies weigh more than 2.8 kg?

(D) How many babies weigh 2.8?

Production yield/hect | $$40-45$$ | $$45-50$$ | $$50-55$$ | $$55-60$$ | $$60-65$$ | $$65-70$$ |

No. of farms | $$4$$ | $$6$$ | $$16$$ | $$20$$ | $$30$$ | $$24$$ |

The following is the favourite cartoon characters of $$15$$ children.

Doraemon, Jerry, Mickey mouse, Jerry, Tom, Doraemon, Doraemon, Mickey mouse, Mickey mouse, Jerry,, Jerry,, Jerry, Doraemon, Doraemon, Doraemon.

The following are the favorite cartoon characters of $$15$$ children.

Doraemon, Jerry, Mickey mouse, Jerry, Tom, Doraemon, Doraemon, Mickey Mouse, Mickey mouse, Jerry, Jerry, Jerry, Doraemon, Doraemon, Doraemon.

$$8-6,9-0,8-4,9-3,7-8,8-11,8-7,9-2,7-10,8-8$$

What is the highest age?

Rs. 45, Rs. 30, Rs. 40, Rs. 50, Rs. 25, Rs. 45

What is the highest pocket money?

Rs. 45, Rs. 30, Rs. 40, Rs. 50, Rs. 25, Rs. 45

What is the lowest pocket money?

What information does it give?

Refinery : | Barauni | Koyali | Mathura | Mumbai | Florida |

Production of oil (in lakh tonnes ) | 30 | 70 | 40 | 45 | 25 |

$$8-6,9-0,8-4,9-3,7-8,8-11,8-7,9-2,7-10,8-8$$

Determine the range?

Rs. 45, Rs. 30, Rs. 40, Rs. 50, Rs. 25, Rs. 45

What is the range?

Wheat

Sugar.

Gram

$$(1,3), (2,3), (3,3), (4,3)$$

Maize

What is the total number of students?

Rice

How much she spend on rent ? (in Rs)

$$(1,4), (2,4), (3,4), (4,4)$$

In which year the export is minimum?

Of which state, were the maximum number of tickets sold?

In which year the import is maximum?

The school wants to provide a particular type of tonic to each student below the height of 150 cm to improve his height. If the cost of the tonic for each student comes out to be Rs 55, how much amount of money is required?

Room number | $$I$$ | $$II$$ | $$III$$ | $$IV$$ | $$V$$ |

Number of stools | $$30$$ | $$40$$ | $$60$$ | $$50$$ | $$20$$ |

Day | Monday | Tuesday | Wednesday | Thursday | Friday |

No. of absentees | $$6$$ | $$2$$ | $$4$$ | $$2$$ | $$8$$ |

Subject | English | Mathematics | Hindi | Drawing |

Number of students passes | $$15$$ | $$25$$ | $$10$$ | $$20$$ |

Tabulation of data

No. of children | $$0$$ | $$1$$ | $$2$$ | $$3$$ | $$4$$ | $$5$$ |

No. of families | $$5$$ | $$11$$ | $$25$$ | $$12$$ | $$5$$ | $$2$$ |

Arranging the data in the form of a table is called ................ of data.

Age (in years) | $$5-15$$ | $$15-25$$ | $$25-35$$ | $$35-45$$ | $$45-55$$ | $$55-65$$ |

Number of patients | $$6$$ | $$11$$ | $$21$$ | $$23$$ | $$14$$ | $$5$$ |

(a) the cost of $$7$$ notebooks.

(b) the number of notebooks that can be purchased with Rs$$50$$.

Second table:

Number of pages written per day | 16-18 | 19-21 | 22-24 | 25-27 | 28-30 |

Number of days | 1 | 3 | 4 | 9 | 13 |

(a) What information does the above bar graph represent?

(b) In which year was production the least?

(c) After which year was the maximum rise in the production?

(d) Find the average production of rice during the 5 years.

(e) Find the difference of rice production between years $$2006\, and\, 2008$$.

This list ranks buildings in India that stand at least 150m (492 ft.) tall, based on standard height measurement. This includes spires and architectural details but does not include antenna marks. Following data is given as per the available information tillSince new buildings are always under construction, go on-line to check new taller buildings.

Use the information given in the table about skyscrapers to answer the following questions:

Name | City | Height | Floors | Year |

Planet UB Tower Ashok Towers The Imperial I The Imperial II RNA Mirage Oberoi Woods Tower I Oberoi Woods Tower II Oberoi Woods Tower III MVRDC | | |

(a). Using histogram

(b). Without using histogram

(i)

$$C.I$$ | $$10-30$$ | $$30-50$$ | $$50-70$$ | $$70-90$$ | $$90-110$$ | $$110-130$$ | $$130-150$$ |

$$f$$ | $$4$$ | $$7$$ | $$5$$ | $$9$$ | $$5$$ | $$6$$ | $$4$$ |

Class-intervals | $$10-20$$ | $$20-30$$ | $$30-40$$ | $$40-50$$ | $$50-60$$ |

Frequency | $$3$$ | $$5$$ | $$6$$ | $$4$$ | $$2$$ |

Age (in yrs) | 12 | 13 | 14 | 15 | 16 | 17 | 18 |

Frequency | 2 | 4 | 6 | 9 | 8 | 7 | 4 |

C.I. | $$0-5$$ | $$5-10$$ | $$10-15$$ | $$15-20$$ | $$20-25$$ |

Frequency | $$4$$ | $$8$$ | $$6$$ | $$4$$ | $$2$$ |

Marks obtained | $$2-4$$ | $$4-6$$ | $$4-6$$ | $$6-8$$ | $$8-10$$ |

No. of students | $$7$$ | $$8$$ | $$4$$ | $$9$$ | $$2$$ |

S.No. | Section | Number of Girls per thousand Boys |

1 | Scheduled Caste (SC) | 940 |

2 | Scheduled Tribe (ST) | 970 |

3 | Non SC/ST | 920 |

4 | Backward districts | 950 |

5 | Non-backward districts | 920 |

6 | Rural | 930 |

7 | Urban | 910 |

(i) Represent the information above by a bar graph.

(ii) In the class room, discuss what conclusions can be arrived from the graph.

Class Interval (C.I) | $$0-5$$ | $$5-10$$ | $$10-15$$ | $$15-20$$ | $$20-25$$ | $$25-30$$ | $$30-35$$ |

Frequency | $$1$$ | $$2$$ | $$4$$ | $$6$$ | $$5$$ | $$3$$ | $$2$$ |

Height (in cm) | 135 - 140 | 140 - 145 | 145 - 150 | 150 - 155 | 155 - 160 |

Frequency | 8 | 20 | 12 | 11 | 9 |

42 | 88 | 37 | 75 | 98 | 93 | 73 | 62 | 96 | 80 |

52 | 76 | 66 | 54 | 73 | 69 | 83 | 62 | 53 | 79 |

69 | 56 | 81 | 75 | 52 | 65 | 49 | 80 | 67 | 59 |

88 | 80 | 44 | 71 | 72 | 87 | 91 | 82 | 89 | 79 |

for these data using a class interval of 5.

Clas Interval : | $$30 - 40$$ | $$40 - 50$$ | $$50 - 60$$ | $$60 - 70$$ | $$70 - 80$$ | $$80 - 90$$ | $$90 - 100$$ |

Frequency : | $$7$$ | $$5$$ | $$8$$ | $$10$$ | $$6$$ | $$6$$ | $$8$$ |

Marks |
Students |

0-10 |
5 |

10-20 |
12 |

20-30 |
20 |

30-40 |
11 |

40-50 |
9 |

50-60 |
7 |

Marks | No. of Students |

0-5 | 4 |

5-10 | 6 |

10-15 | 10 |

15-20 | 10 |

20-25 | 25 |

25-30 | 22 |

30-35 | 18 |

35-40 | 5 |

Year | 1970 | 1980 | 1990 | 2000 |

Production of Wheat (million tonnes) | 100 | 210 | 350 | 500 |

$$53,61,48,60,78,68,55,100,67,90$$

$$75,88,77,37,84,58,60,48,62,56$$

$$44,58,52,64,98,59,70,39,50,60$$

If 40 is the pass mark how many have failed?

What is the total number of persons living in the town in the age-groups 10-15 and 60-65?

Daily Income (in rupee) | 250-300 | 300-350 | 350-400 | 400-450 | 450-500 |

Number of workers | 14 | 16 | 10 | 8 | 12 |

$$2.3,2.2,2.1,2.7,2.6,3.0,2.5,2.9,2.8,3.1,2.5,2.8,2.7,2.9,2.4$$

How many babies weigh 2.8 kg?

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

Find how many students obtained marks equal to or more than 7?

Overs: | $$I$$ | $$II$$ | $$III$$ | $$IV$$ | $$V$$ | $$VI$$ | $$VII$$ | $$VIII$$ | $$IX$$ | $$X$$ | $$XI$$ | $$XII$$ | $$XIII$$ | $$XIV$$ | $$XV$$ |

Runs: | $$2$$ | $$1$$ | $$4$$ | $$2$$ | $$6$$ | $$8$$ | $$10$$ | $$21$$ | $$5$$ | $$8$$ | $$3$$ | $$2$$ | $$6$$ | $$8$$ | $$12$$ |

Number of persons: | $$2$$ | $$4$$ | $$6$$ | $$8$$ |

Time taken(in days): | $$12$$ | $$6$$ | $$4$$ | $$3$$ |

What is the number of students belonging to the highest mark group?

Which state has the total production of wheat and rice minimum?

Which state has total production of rice and wheat as its maximum?

Every student belonging to the lowest mark-group has to solve $$5$$ problems per day. How many problems, in all, will be solved by the students of this group per day?

Every student belonging to the highest mark group is entitled to get a prize of Rs. $$10.$$ How much amount of money is required for distributing the prize money?

What percentage of the total number of students have their heights more than 149 cm?

Copy and complete the table

Do the points lie on line?

- Collection Of Data Extra Questions
- Correlation Extra Questions
- Index Numbers Extra Questions
- Introduction To Economics Extra Questions
- Introduction To Microeconomics Extra Questions
- Market Equilibrium Extra Questions
- Measures Of Central Tendency Extra Questions
- Measures Of Dispersion Extra Questions
- Non-Competitive Markets Extra Questions
- Organisation Of Data Extra Questions
- Presentation Of Data Extra Questions
- Production And Costs Extra Questions
- Theory Of Consumer Behaviour Extra Questions
- The Theory Of The Firm Under Perfect Competition Extra Questions
- Use Of Statistical Tools Extra Questions