Mathematics
Assertion (A): Runs scored by batsman A are 55, 60, 30, 80 while runs scored by batsman B are 81, 87, 76, 92. Then B has higher range than A.
Reason (R): Range is the difference between maximum and minimum values of a variable.
Assertion (A) is true, Reason (R) is false.
Assertion (A) is false, Reason (R) is true.
Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).
Answer
Range = Maximum Value - Minimum Value.
∴ Reason (R) is true.
For Batsman A:
Runs: 55, 60, 30, 80
Minimum value (Min) = 30
Maximum value (Max) = 80
Range of A = Max − Min = 80 − 30 = 50.
For Batsman B:
Runs: 81, 87, 76, 92
Minimum value (Min) = 76
Maximum value (Max) = 92
Range of B = Max − Min = 92 − 76 = 16.
Thus, B does not have higher range than A.
∴ Assertion (A) is false.
∴ Assertion (A) is false, Reason (R) is true.
Hence, option 2 is the correct option.
Related Questions
In a data, 10 numbers are arranged in ascending order. If the 8th entry is increased by 6, then the median increases by
0
2
3
6
Consider the following two statements.
Statement 1: A histogram consists of a set of adjacent rectangles whose bases are equal to class size, and heights are equal to class frequencies.
Statement 2: In a bar graph, the breadth of a rectangle has no significance, whereas in a histogram, the breadth of a rectangle is meaningful and it represents the class size.
Which of the following is valid?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and Statement 2 is false.
Statement 1 is false, and Statement 2 is true.
Assertion (A): Mean of first 5 odd natural numbers is 5.
Reason (R): Mean is the middle value of a set of observations.
Assertion (A) is true, Reason (R) is false.
Assertion (A) is false, Reason (R) is true.
Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).