An ogive curve is used to determine

1. range

2. mean

3. mode

4. median

The median of the following observations arranged in ascending order is 64. Find the value of x :

27, 31, 46, 52, x, x + 4, 71, 79, 85, 90

1. 60

2. 61

3. 62

4. 66

Assertion (A): A survey was conducted by a group of student as a part of their environment awareness program in which they collected the following data regarding the number of plants in 10 houses in a locality.

The mean of the data is 6.9.

Reason (R): If the observation x₁, x₂, x₃,………, x_k has frequencies f₁, f₂, f₃, …….., f_k, then mean = $\dfrac{f$1x1 + f2x2 + f3x3 + …….. + fkxk}{f1 + f2 + f3 + …….. + fk}

1. Assertion (A) is true, but Reason (R) is false.

2. Assertion (A) is false, but Reason (R) is true.

3. Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).

Assertion (A): The number of goals scored by a football team in a series of matches are 3, 1, 0, 7, 5, 3, 3, 4, 1, 2, 0, 2

The median of the data is 2.5.

Reason (R): Median of an ungrouped data is the variate which has maximum frequency.

1. Assertion (A) is true, but Reason (R) is false.

2. Assertion (A) is false, but Reason (R) is true.

3. Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).