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

GSEB SolutionsMathsScience

**Exercise – 16**

**Solution 1:**

**Solution 2:**

**Solution 3:**

**Solution 4:**

**Solution 5:**

**Solution 6:**

**Solution 7:**

**Solution 8:**

**Solution 9:**

**Solution 10:**

**Solution 11:**

**Solution 12:**

**Solution 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):**

**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):**

**Solution 14(12):**

**Solution 14(13):**

**Solution 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):**

**Solution 14(18):**

**Solution 14(19):**

**Solution 14(20):**

**Solution 14(21):**

**Solution 14(22):**

**Solution 14(23):**

**Solution 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):**

**Solution 14(31):**

**Solution 14(32):**

**Solution 14(33):**

**Solution 14(34):**

**Solution 14(35):**

**Solution 14(36):**

**Solution 14(37):**

**Exercise – 16.1**

**Solution 1:**

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

**Exercise – 16.2**

**Solution 1:**

**Solution 2:**

**Solution 3:**

**Solution 4:**

**Solution 5:**

**Solution 6:**

**Solution 7:**

**Solution 8:**

**Solution 9:**

**Exercise – 16.3**

**Solution 1:**

The bar diagram is as follows:

**Solution 2:**

The bar diagram is as follows:

**Solution 3:**

The bar diagram is as follows:

**Solution 4:**

The bar diagram is as follows:

**Solution 5:**

The histogram is as follows:

**Solution 6:**

**Solution 7:**

**Solution 8:**