RS Aggarwal Solutions Class 9 Chapter 14 Statistics Solution

EXERCISE 14G

Question 1:
(i) Arranging the data in accending order, we have
2,2,3, 5, 7, 9, 9, 10, 11
Here n = 9, which is odd

(ii) Arranging the data in ascending order , we have
6, 8, 9, 15, 16, 18, 21, 22, 25
Here n = 9, which is odd

(iii) Arranging data in ascending order:
6, 8, 9, 13, 15, 16, 18, 20, 21, 22, 25
Here n = 11 odd

(iv) Arranging the data in ascending order , we have
0, 1, 2, 2, 3, 4, 4, 5, 5, 7, 8, 9, 10
Here n = 13, which is odd

Question 2:
(i) Arranging the data in ascending order , we have
9, 10, 17, 19, 21, 22, 32, 35
Here n = 8, which is even

(ii) Arranging the data in ascending order , we have
29, 35, 51, 55, 60, 63, 72, 82, 85, 91
Here n = 10, which is even

(iii) Arranging the data in ascending order , we have
3, 4, 9, 10, 12, 15, 17, 27, 47, 48, 75, 81 Here n = 12, which is even

Question 3:
Arranging the data in ascending order , we have
17, 17, 19, 19, 20, 21, 22, 23, 24, 25, 26, 29, 31, 35, 40
Here n = 15, which is odd

Thus, the median score is 23.

Question 4:
Arranging the heights of 9 girls in ascending order , we have
143.7, 144.2, 145, 146.5, 147.3, 148.5, 149.6, 150, 152.1
Here n = 9, which is odd

Question 5:
Arranging the weights of 8 children in ascending order, we have
9.8, 10.6, 12.7, 13.4, 14.3, 15, 16.5, 17.2
Here , n= 8 , which is even

Question 6:
Arranging the ages of teachers in ascending order , we have
32, 34, 36, 37, 40, 44, 47, 50, 53, 54
Here, n =10, which is even

Question 7:
The ten observations in ascending order:
10, 13, 15, 18, x+1, x+3, 30, 32, 35, 41
Here, n =10, which is even

Question 8:

Question 9:
Arrange the terms in an ascending order, we have

Variate	15	17	20	22	25	30
Frequency	3	5	9	4	6	10

Now preparing the cumulative frequency , we have

Variate	Frequency	Cumulative Frequency
15 17 20 22 25 30	3 5 9 4 6 10	3 8 17 21 27 37

Question 10:
Arrange the terms in an ascending order, we have

Marks	9	20	25	40	50	80
No. of students	4	6	16	8	7	2

Now preparing the cumulative frequency , we have

Marks	No of students(Frequency)	Cumulative Frequency
9 20 25 40 50 80	4 6 16 8 7 2	4 10 26 34 41 43

Question 11:
Arranging the terms in an ascending order, we have

Height(in cm)	151	152	153	154	155	156	157
No. of students	6	3	12	4	10	8	7

Now preparing the cumulative frequency , we have

Height (in cm)	No of students Frequency	Cumulative Frequency
151 152 153 154 155 156 157	6 3 12 4 10 8 7	6 9 21 25 35 43 50

Question 12:
Arrange the terms in an ascending order, we have

Variate	16	18	20	23	25	26	28	30
Frequency	9	8	13	4	4	6	11	5

Now preparing the cumulative frequency , we have

Variate	Frequency	Cumulative Frequency
16 18 20 23 25 26 28 30	9 8 13 4 4 6 11 5	9 17 30 34 38 44 55 60