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GSEB Solutions for Class 9 Mathematics – Statistics

GSEB Solutions for Class 9 Mathematics – Statistics (English Medium)

GSEB SolutionsMathsScience
Exercise – 16

Solution 1:

gseb-solutions-class-9-mathematics-statistics-1

Solution 2:

gseb-solutions-class-9-mathematics-statistics-2

Solution 3:

gseb-solutions-class-9-mathematics-statistics-3

Solution 4:

gseb-solutions-class-9-mathematics-statistics-4

Solution 5:

gseb-solutions-class-9-mathematics-statistics-5

Solution 6:

gseb-solutions-class-9-mathematics-statistics-6

Solution 7:

gseb-solutions-class-9-mathematics-statistics-7

Solution 8:

gseb-solutions-class-9-mathematics-statistics-8

Solution 9:

gseb-solutions-class-9-mathematics-statistics-9

Solution 10:

gseb-solutions-class-9-mathematics-statistics-10

Solution 11:

gseb-solutions-class-9-mathematics-statistics-11

Solution 12:

gseb-solutions-class-9-mathematics-statistics-12

Solution 13:

gseb-solutions-class-9-mathematics-statistics-13

Solution 14(1):

a. primary
Data is collected by the investigator himself or herself and hence it is primary data.

Solution 14(2):

b. secondary data
Data is collected from the records stored in a library and hence it is secondary data.

Solution 14(3):

b. secondary data
Data is collected from sources like print media and hence it is secondary data.

Solution 14(4):

b. secondary data
Data is collected from a company report and hence it is secondary data.

Solution 14(5):

b. 38
Maximum marks = 49
Minimum marks = 11
Thus, Range = 49 – 11 = 38

Solution 14(6):

gseb-solutions-class-9-mathematics-statistics-14(6)

Solution 14(7):

b. 50
50 is the upper limit of the class 41 – 50.

Solution 14(8):

d. 20
20 is the lower limit of the class 20 – 29.

Solution 14(9):

d. 4
The observation 7 occurs four times in the given data and hence its frequency is 4.

Solution 14(10):

c. 20 – 30
The observation 20 will be included in the class 20 – 30.

Solution 14(11):

gseb-solutions-class-9-mathematics-statistics-14(11)

Solution 14(12):

gseb-solutions-class-9-mathematics-statistics-14(12)

Solution 14(13):

gseb-solutions-class-9-mathematics-statistics-14(13)

Solution 14(14):

gseb-solutions-class-9-mathematics-statistics-14(14)

Solution 14(15):

d. 15
Class width = Upper limit – Lower limit = 45 – 30 = 15

Solution 14(16):

b. 5
Class width = Upper limit – Lower limit = 60.5 – 55.5 = 5

Solution 14(17):

gseb-solutions-class-9-mathematics-statistics-14(17)

Solution 14(18):

gseb-solutions-class-9-mathematics-statistics-14(18)

Solution 14(19):

gseb-solutions-class-9-mathematics-statistics-14(19)

Solution 14(20):

gseb-solutions-class-9-mathematics-statistics-14(20)

Solution 14(21):

gseb-solutions-class-9-mathematics-statistics-14(21)

Solution 14(22):

gseb-solutions-class-9-mathematics-statistics-14(22)

Solution 14(23):

gseb-solutions-class-9-mathematics-statistics-14(23)

Solution 14(24):

gseb-solutions-class-9-mathematics-statistics-14(24)

Solution 14(25):

c. 8
8 occurs maximum number of times, i.e. three times, and hence, the mode is 8.

Solution 14(26):

d. 9000
If each worker has a salary of Rs. 9000, then the mean, median and mode of the data will be same, i.e. 9000.

Solution 14(27):

d. 2 and 3
Observations 2 and 3 occur two times each. Hence, the modes are 2 and 3.

Solution 14(28):

d. 7, 13, 15
Observations 7, 13 and 15 occur three times each. Hence, the modes are 7, 13, and 15.

Solution 14(29):

d. multimodal
Since the data has three modes, it is multimodal data.

Solution 14(30):

gseb-solutions-class-9-mathematics-statistics-14(30)

Solution 14(31):

gseb-solutions-class-9-mathematics-statistics-14(31)

Solution 14(32):

gseb-solutions-class-9-mathematics-statistics-14(32)

Solution 14(33):

gseb-solutions-class-9-mathematics-statistics-14(33)

Solution 14(34):

gseb-solutions-class-9-mathematics-statistics-14(34)

Solution 14(35):

gseb-solutions-class-9-mathematics-statistics-14(35)

Solution 14(36):

gseb-solutions-class-9-mathematics-statistics-14(36)

Solution 14(37):

gseb-solutions-class-9-mathematics-statistics-14(37)

Exercise – 16.1

Solution 1:

  1. Number of students in the class – Primary data
  2. Election results obtained from print media or television news channels – Secondary data
  3. Literacy rate figures obtained from educational survey – Secondary data
  4. Number of trees in the school campus – Primary data
  5. Amount of telephone bills of our home for last one year – Primary data
  6. Profit or loss of any company obtained from its annual report – Secondary dat

Exercise – 16.2

Solution 1:

gseb-solutions-class-9-mathematics-statistics-1

Solution 2:

gseb-solutions-class-9-mathematics-statistics-2

Solution 3:

gseb-solutions-class-9-mathematics-statistics-3

Solution 4:

gseb-solutions-class-9-mathematics-statistics-4

Solution 5:

gseb-solutions-class-9-mathematics-statistics-5

Solution 6:

gseb-solutions-class-9-mathematics-statistics-6

Solution 7:

gseb-solutions-class-9-mathematics-statistics-7

Solution 8:

gseb-solutions-class-9-mathematics-statistics-8

Solution 9:

gseb-solutions-class-9-mathematics-statistics-9

Exercise – 16.3

Solution 1:

The bar diagram is as follows:
gseb-solutions-class-9-mathematics-statistics-1

Solution 2:

The bar diagram is as follows:
gseb-solutions-class-9-mathematics-statistics-2

Solution 3:

The bar diagram is as follows:
gseb-solutions-class-9-mathematics-statistics-3

Solution 4:

The bar diagram is as follows:
gseb-solutions-class-9-mathematics-statistics-4

Solution 5:

The histogram is as follows:
gseb-solutions-class-9-mathematics-statistics-5

Solution 6:

gseb-solutions-class-9-mathematics-statistics-6.1
gseb-solutions-class-9-mathematics-statistics-6.2

Solution 7:

gseb-solutions-class-9-mathematics-statistics-7.1
gseb-solutions-class-9-mathematics-statistics-7.2

Solution 8:

gseb-solutions-class-9-mathematics-statistics-8

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