Mathematics
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.
Answer
In a histogram, there are no gaps between the bars, indicating the continuous nature of the data.
The width of each bar (its base) represents the class interval or class size.
The height of each bar represents the frequency (or count) of observations falling within that specific class interval.
∴ Statement 1 is true.
In a bar graph, the bars have arbitrary width and does not represent any numerical quantity.
∴ Statement 2 is true.
∴ Both the statements are true.
Hence, option 1 is correct option.
Related Questions
The median of the data
78, 56, 22, 34, 45, 54, 39, 68, 54, 84 is
45
49.5
54
56
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
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).
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).