Assertion (A) : The mean of 19 numbers is 38. If the mean of the first 10 numbers is 36 and that of the last 10 is 40, then the 10th number is 38.

Reason (R) : Mean = $\dfrac{\text{Sum of observations}}{\text{Number of observations}}$

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false

Assertion (A) : The mean of 15 observations was found to be 21. Later it was detected that one value 15 was wrongly copied as 18, while calculating the mean. The correct mean is 20.

Reason (R) : The mean of n observations x₁, x₂, x₃, ….., x_n is $\bar{x}$. If each observation is increased by p, then the new mean is increased by p, i.e., the new mean is $\bar{x}$ + p.

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false

Average marks obtained by students of a class in an exam is 70. Which of the following is definitely incorrect?

(i) One of the students scored more than 100 marks.

(ii) One of the students scored less than 10 marks.

1. Only (i)

2. Only (ii)

3. Both (i) and (ii)

4. None of these

A government agency collected the data of individual incomes of 10,625 people and decided that the individual that have less income than the median of the data are economically poor. Assuming that all the individuals have different incomes, which of the following is correct?

1. The number of economically poor people is less than the number of rich people.

2. The number of economically poor people is more than the number of rich people.

3. Exactly half of the people are economically poor.

4. We can't say anything about the number of economically poor people.