**1. **Sol.

Range = Highest height – Lowest height

= 5.3 – 4.2

= 1.1 feet.

**2. ** Sol.

(i) The highest number is 9.

(ii) The lowest number is 1.

(iii) The range of the data is 9 – 1 = 8.

**3. ** The first five whole numbers are 0, 1, 2, 3 and 4.

Therefore, Mean of first five whole numbers

Thus, the mean of first five whole numbers is 5.

**4. ** Number of innings = 8

Thus, the means score is 50.

(ii) We should divide the total points by 3 because player C played only three games.

(iii) Player B played in all the four games.

(iv) To find the best performer, we should know the mean of all players.

Mean of player A = 12.5

Mean of player B = 4.5

**6.** (i) Highest marks obtained by the student = 95

Lowest marks obtained by the student = 39

(ii) Range or marks = Highest marks – Lowest marks = 95 – 39 = 56

Thus, mean marks obtained by the group of students is 73.

Thus, the mean enrolment of the school is 2058.

**8. ** (i) The range of the rainfall = Highest rainfall – Lowest rainfall = 20.5 – 0.0 = 20.5 mm

(iii) 5 days i.e., Monday, Wednesday, Thursday, Saturday and Sunday rainfalls were less than the mean rainfall.

**9. ** (i) The height of the tallest girl = 151 cm.

(ii) The height of the shortest girl = 128 cm

(iii) The range of the data = Highest height – Lowest height = 151 – 128= 23 cm.

(v) Five girls, i.e., 150, 151, 146, 149, 143 have heights (in cm) more than the mean height.

**10. **Arranging the given data in ascending order,

5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25

Mode is the observation occurred the highest number of times. Therefore, Mode = 20

Median is the middle observation = 20

Yes, Mode and Median are same of given observation.

**11. ** Arranging the given data in ascending order,

6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120

Mode is the observation occurred the highest number of times = 15

Median is the middle observation = 15

Therefore, Mode and Median is 15.

No, the mean, median and mode are not same.

**12. ** Arranging the given data in ascending order.

32, 35, 36, 37, 38, 38, 38, 40, 42, 43, 43, 43, 45, 47, 50

(i) Mode is the observation occurred the highest number of times.

Therefore, Mode = 38 and 43

Median is the middle observation = 40

(ii) Yes, there are 2 modes.

**13. ** Arranging the given data in ascending order,

12, 12, 13, 13, 14, 14, 14, 16, 19

Mode is the observation occurred the highest number of times = 14

Median is the middle observation = 14

**14. ** (i) True (ii) False (iii) True (iv) False

**15. ** (a) Cat is the most popular pet. (b) 8 students have dog as a pet.

**16. ** According to the given bar graph,

(i) (a) In 1989, 180 books were sold.

(b) In 1990, 475 books were sold.

(c) In 1992, 225 books were sold.

(ii) In 1990, about 475 books were sold and in 1992, about 225 books were sold.

(iii) In 1989 and 1992 fewer than 250 books were sold.

(iv) By reading the graph, we calculate that 180 books were sold in 1989.

**17.** Data represented by the bar graph is as follows:

(a) Scale : 1 unit = 25 children

(b) (i) Fifth class has the maximum number of children and

Tenth class has the minimum number of children.

**18. ** Data represented by bar graph is as follows:

Difference of marks of 1st term and 2nd term

English = 70 – 67 = 3 Hindi = 65 – 72 = -7 Maths = 95 – 88 = 7

Science = 85 – 81 = 4 S. Science = 75 – 73 = 2

(i) He has most improved in Maths subject.

(ii) In S. Science subject, his improvement is less.

(iii) Yes, in Hindi subject, his performance has gone down

**19. ** Data represented by the double bar graph is as follows:

(i) This bar graph represents the number of persons who are watching and participating in their favourite sports.

(ii) Cricket is most popular.

(iii) Watching sports is more preferred.

**20. ** Data represented by double bar graph is as follow:

(i) Jammu has the largest difference in temperature i.e., Maximum temperature = 41°C and Minimum temperature = 26°C.

∴ Difference = 41°C – 26°C = 15°C

(ii) Jammu is the hottest city due to maximum temperature is high and Bangalore is the coldest city due to maximum temperature is low.

(iii) Maximum temperature of Bangalore – 28°C

Minimum temperature of two cities whose minimum temperature is higher than the maximum temperature of Bangalore are Ahemedabad and Jaipur = 29°C

(iv) Mumbai has the least difference in temperature i.e., Maximum temperature = 32°C and Minimum temperature = 27°C

∴ Difference = 32°C – 27°C = 5°C

**21.** (i) It is certain to happen.

(ii) It can happen but not certain.

(iii) It is impossible.

(iv) It can happen but not certain.

(v) It can happen but not certain.

**22. ** Total marbles from 1 to 6 marked in a box = 6

(i) The probability of drawing a marble with number 2.

(ii) The probability of drawing a marble with number 5.

**23. ** A coin has two possible outcomes Head and Tail.

Probability of getting Head or Tail is equal.