Question

Which of the following determines the height of each column in a histogram?

• A. The number of intervals
• B. The frequency of datapoints within the range
• C. The x-axis values
• D. The y-axis values

Hint:

Height of a histogram bar = number of data points (frequency) in that bin.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
A histogram splits the data range into intervals called bins. For each bin, it draws a column. The height of a column shows how many data points fall inside that bin, which is the frequency.

Step 2: Check option 1.
The number of intervals (bins) decides how many columns there are and how wide they are. It does not set the height of one column. So option 1 is wrong.

Step 3: Check option 2.
The frequency of data points inside the range of that bin sets the column height. So option 2 is correct.

Step 4: Check option 3.
The x-axis values mark the bin boundaries. They give the position and width, not the height. So option 3 is wrong.

Step 5: Check option 4.
The y-axis values are only the scale on which the height is read. They do not determine the height. The frequency does. So option 4 is wrong.

Step 6: Final Answer:
The height of each column is determined by the frequency of data points in its range, which is option 2. \[ \boxed{\text{Frequency of datapoints within the range}} \]