In a village three different crops are cultivated in four successive years. The profit (in rupees) on the crops, per acre is shown in the table below- Crop Year 2005 2006 2007 2008 Ground nuts 7000 8000 7500 7500 Jawar 6000 1000 8000 1000 Milets 9000 5000 3000 4000 Calculate the mean profit for each crop over the 4 years.

We need to find the mean profit of each crop in 4 years. First, we need to find the mean profit of Ground nuts in four years. Mean profit = Total profit of Ground nuts Number of years = 7000 + 8000 + 7500 + 7500 4 = 30000 4 = 7500 Next, we need to find the mean profit of Jawar in 4 years. Mean profit = Total profit of Jawar Number of years = 6000 + 1000 + 8000 + 1000 4 = 16000 4 = 4000 Finally, we need to find the mean profit of Millets in 4 years. Mean profit = Total profit of Millets Number of years = 9000 + 5000 + 3000 + 4000 4 = 21000 5 = 4200 Hence, the mean profit of Ground nuts in four years is 7500 rupees . The mean profit of Jawar in four years is 4000 rupees . The mean profit of Millets in four years is 5250 rupees .

Draw a pie chart for the following data. Item of expenditure Food Health Clothing Education Savings Amount spent in rupees 3750 1875 1875 1200 7500

We can find the ratio between Item of expenditure to the total expenditure. For food, ratio between Item of expenditure to the total expenditure is 3750 3750 + 1875 + 1875 + 1200 + 7500 = 3750 16200 = 25 108 For health, ratio between Item of expenditure to the total expenditure is 1875 3750 + 1875 + 1875 + 1200 + 7500 = 1875 16200 = 25 216 For clothing, ratio between Item of expenditure to the total expenditure is 1875 3750 + 1875 + 1875 + 1200 + 7500 = 1875 16200 = 25 216 For education, ratio between Item of expenditure to the total expenditure is 1200 3750 + 1875 + 1875 + 1200 + 7500 = 1200 16200 = 2 27 For savings, ratio between Item of expenditure to the total expenditure is 7500 3750 + 1875 + 1875 + 1200 + 7500 = 7500 16200 = 25 54 So, tabulating the data, Item of expenditure Amount spent in rupees Ratio between Item of expenditure to the total expenditure Angle of sector Food 3750 25 108 25 108 × 360 ° = 83 . 3 ° Health 1875 25 216 25 216 × 360 ° = 41 . 6 ° Clothing 1875 25 216 25 216 × 360 ° = 41 . 6 ° Education 1200 2 27 2 27 × 360 ° = 26 . 6 ° Savings 7500 25 54 25 54 × 360 ° = 166 . 6 ° Let us draw the pie chart according to the angles obtained.

Draw a pie chart for the following data. Time spent by a child during a day- Time spent for Sleep School Play Others Time spent 8 hrs 6 hrs 2 hrs 8 hrs

A pie chart makes use of sectors in a circle. The angle of sector is proportional to the frequency of the data. Formula to find the angle of sector in a pie chart is: Angle of sector = Frequency of data Total frequency × 360 ° We can tabulate the given data for finding the angles of the sectors. Time spent for Time spent Ratio between Time spent on each activity to the total time spent Angle of sector Sleep 8 hrs 8 24 = 1 3 1 3 × 360 ° = 120 ° School 6 hrs 6 24 = 1 4 1 4 × 360 ° = 90 ° Play 2 hrs 2 24 = 1 12 1 12 × 360 ° = 30 ° Others 8 hrs 8 24 = 1 3 1 3 × 360 ° = 120 ° Let us draw the pie chart according to the angles obtained.

E M B I B E

Mathematics Class 7>Chapter 7 - Data Handling>Exercise - 4>Q 1

HARD

7th Telangana Board

IMPORTANT

Earn 100

Draw a bar graph for the following data.

Population of India in successive census years-

Year $1941$ $1951$ $1961$ $1971$ $1981$ $1991$ $2001$

Population
(in millions)(approx) $320$ $360$ $440$ $550$ $680$ $850$ $1000$

Source: Data from census of India $1991$ and $2001$ .

Important Questions on Data Handling

EASY

7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 7 - Data Handling>Try This>Q 1

The ages (in years) of players are in a team of $16, 16, 16, 14, 17, 18$ . Then find the mean age of the players. (Write the answer to two decimal places)

EASY

7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 7 - Data Handling>Try This>Q 1

A data of

10

observations has a minimum value

15

and maximum value

25

. What is the mean of the data?

EASY

7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 7 - Data Handling>Try This>Q 2

Observations of a data are

23, 45, 33, 21, 48, 30, 34, 36

and

35

. Without actual calculation choose the mean of the data.

EASY

7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 7 - Data Handling>Exercise - 1>Q 1

Maximum daytime temperatures of Hyderabad in a week(from $26^{th}$ February to $4^{th}$ March, $2011$ ) are recorded as $26 ° C, 27 ° C, 30 ° C, 30 ° C, 32 ° C, 33 ° C$ and $32 ° C$ . What is the average temperatures of the week?

MEDIUM

7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 7 - Data Handling>Exercise - 1>Q 2

Rice consumed in a school under the mid-day meal program for

5

consecutive days is

15.750 kg, 14.850 kg, 16.500 kg, 14.700 kg

and

17.700 kg

. Find the average rice consumption for the

5

days.

HARD

7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 7 - Data Handling>Exercise - 1>Q 3

In a village three different crops are cultivated in four successive years. The profit (in rupees) on the crops, per acre is shown in the table below-