The following graph shows the temperature of a patient in a hospital, recorded every hour:

                                    

(a) What was the patient’s temperature at 1 p.m.?

(b) When was the patient’s temperature 38.5° C?

(c) The patient’s temperature was the same two times during the period given.

What were these two times?

(d) What was the temperature at 1.30 p.m.? How did you arrive at your answer?

(e) During which periods did the patients’ temperature showed an upward trend?

For which of these would you use a histogram to show the data:

(a) The number of letters for different areas in a postman’s bag.

(b) The height of competitors in an athletics meet.

(c) The number cassettes produced by 5 companies.

(d) The number of passengers boarding trains from 7.00 a.m. to 7.00 p.m. at a station. Give reason for each.

The shoppers who come to a departmental store are marked as: man (M), woman (W), boy (B) or girl (G). The following list gives the shoppers who came during the first hour in the morning.

W W W G B W W M G G M M W W W W G B M W B G G M W W M M W W W M W B W G M W W W W G W M M W M W G W M G W M M B G G W.                                                            

Make a frequency distribution table using tally marks. Draw a bar graph to illustrate it.

The following line graph shows the yearly sales figures for a manufacturing company.

                                        

(a) What were the sales in 1. 2002 2. 2006?

(b) What were the sales in 1. 2003 2. 2005?

(c) Compute the difference between the sales in 2002 and 2006.

(d)In which year was there the greatest difference between the sales as compared to its previous year?

For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.

                            

(a) How high was Plant A after 1. 2 weeks 2. 3 weeks?

(b) How high was Plant B after 1. 2 weeks 2. 3 weeks?

(c) How much did Plant A grow during the 3rd week?

(d) How much did Plant B grow from the end of the 2nd week to the end of the 3rd week?

(e) During which week did Plant A grow most?

(f) During which week did Plant B grow least?

(g) Were the two plants of the same height during any week shown here? Specify.

The weekly wages (in ₹) of 30 workers in a factory are:                                                                   

830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840.                                                                

Using tally marks, make a frequency table with intervals as 800 – 810, 810 – 820 and so on.

Draw a histogram for the frequency table made for the data in Question 3 and answer the following questions.

(i) Which group has the maximum number of workers?

(ii) How many workers earn ₹ 850 and more?

(iii) How many workers earn less than ₹ 850?

The following graph shows the temperature forecast and the actual temperature for each day of a week.

                   

(a) On which days was the forecast temperature the same as the actual temperature?

(b) What was the maximum forecast temperature during the week?

(c) What was the minimum actual temperature during the week?

(d) On which day did the actual temperature differ the most from the forecast temperature?

The number of hours for which students of a particular class watched television during holidays is shown through the given graph.                                                                                    Answer the following:

(i) For how many hours did the maximum number of students watch T.V.?

(ii) How many students watched TV for less than 4 hours?

(iii) How many students spent more than 5 hours in watching TV?

                                         

Use the tables below to draw linear graphs.

(a) The number of days a hill side city received snow in different years.

                                       

(b) Population (in thousands) of men and women in a village in different years.

                     

A survey was made to find the type of music that a certain group of young people liked in a city. Adjoining pie chart shows the findings of this survey.

From this pie chart, answer the following:

(i) If 20 people liked classical music, how many young people were surveyed?

(ii) Which type of music is liked by the maximum number of people?

(iii) If a cassette company were to make 1000 CD’s, how many of each type would they make?

                      

A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph.

                                    

(a) What is the scale taken for the time axis?

(b) How much time did the person take for the travel?

(c) How far is the place of the merchant from the town?

(d) Did the person stop on his way? Explain.

(e) During which period did he ride fastest?

A group of 360 people were asked to vote for their favorite season from the three seasons rainy, winter and summer.

(i) Which season got the most votes?

(ii) Find the central angle of each sector.

(iii) Draw a pie chart to show this information.

                                                   

Can there be a time-temperature graph as follows? Justify your answer.

                                     

 

Draw a pie chart showing the following information. The table shows the colours preferred by a group of people.

                                                  

Plot the following points on a graph sheet. Verify if they lie on a line

(a) A (4, 0), B (4, 2), C (4, 6), D (4, 2.5)

(b) P (1, 1), Q (2, 2), R (3, 3), S (4, 4)

(c) K (2, 3), L (5, 3), M (5, 5), N (2, 5)

Draw the line passing through (2, 3) and (3, 2).

Find the coordinates of the points at which this line meets the x-axis and y-axis.

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:

                                                                

(i) In which subject did the student score 105 marks?

(Hint: for 540 marks, the central angle = 360⁰. So, for 105 marks, what is the central angle?)

(ii) How many more marks were obtained by the student in Mathematics than in Hindi?

(iii) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.                                                                                                

(Hint: Just study the central angles)

Write the coordinates of the vertices of each of these adjoining figures.

 

 

 

The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart.

               

State whether True or False. Correct that are false.

1. A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y axis.

2. A point whose y coordinate is zero and x-coordinate is 5 will lie on y-axis.

3. The coordinates of the origin are (0, 0).

 

List the outcomes you can see in these experiments.

(a) Spinning a wheel                            

(b) Tossing two coins together

                                                            

Draw the graphs for the following tables of values, with suitable scales on the axes.

(a) Cost of apples

               

 

 (b) Distance travelled by a car

            

1.  How much distance did the car cover during the period 7.30 a.m. to 8 a.m.?

2.  What was the time when the car had covered a distance of 100 km since its start?

 

(c) Interest on deposits for a year.

          

 1. Does the graph pass through the origin?

 2. Use the graph to find the interest on ₹ 2500 for a year.

 3. To get an interest of ₹ 280 per year, how much money should be deposited?

 

When a die is thrown, list the outcomes of an event of getting:

(i) (a) a prime number (b) not a prime number

(ii) (a) a number greater than 5 (b) a number not greater than 5

Draw a graph for the following.

1.

 

 

 

Is it a linear graph?

2.  

 

 

Is it a linear graph?

Find the:

(a) Probability of the pointer stopping on D in (Question 1 (a)).

(b) Probability of getting an ace from a well shuffled deck of 52 playing cards.

(c) Probability of getting a red apple. (See figure below)

Numbers 1 to 10 are written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of:

(i) getting a number 6.                                     

(ii) getting a number less than 6.

(iii) getting a number greater than 6.           

(iv) getting a 1-digit number.

If you have a spinning wheel with 3 green sectors, 1 blue sector and 1 red sector, what is the probability of getting a green sector? What is the probability of getting a none-blue sector?

Find the probability of the events given in Question 2.