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i. If P represents the matrix of number of units of each type produced by factory A for both boys and girls, then
P is given by
Boys Girls Boys Girls
I 85 50 I II III 80 75 90 I II III I 80 80
a. II 65 55 b. Boys 50 55 80 c. Boys d. II 70 75
Girls
III 72 80 Girls 85 65 72 80 70 65 III 65 90
ii. The total production of toys of each type for boys is given by the matrix
I II III I II III I II III I II III
a. b. c. d.
[165 130 137] [130 165 137] [165 135 137] [137 135 165]
2. A city municipal council noted the number of malaria cases in two zones in 2022. The information is given as follows:
Table 1
Age (in years) 5-15 15-25 25-35 25-45 45-55 55-65
No. of cases 6 11 21 23 14 5
Table 2
Age (in years) 5-15 15-25 25-35 35-45 45-55 55-65
No. of cases 8 16 10 42 24 12
i. The mean of the given data is
a. 26.2 b. 32.4
c. 33.5 d. 35.4
ii. The upper limit of modal class is
a. 15 b. 25
c. 35 d. 45
Lab Interdisciplinary
Collect data from atleast 20 students on “Daily Time spent on Netflix/Mobile Gaming”. Arrange in a tabular
form as follows.
Student Name No. of hours
A 3
B 5
C 2
D 10
Calculate variance and standard deviation of this data. What can you infer from the variance?
Answers
Exercise (Section A)
A. 1. b 2. b 3. d 4. c 5. c 6. c 7. b 8. a 9. d 10. b
B. 1. matrices 2. vector 3. least squares 4. statistics 5. Standard deviation 6. frequency bin
C. 1. False 2. True 3. False 4. False 5. True 6. True 7. True
Maths for AI 195

