An ogive is used to determine

Options

A. mean
B. median
C. mode
D. HM

Answer

To solve the question "An ogive is used to determine," we will analyze the options provided and understand the concept of an ogive in statistics.

### Step-by-Step Solution:

1. **Understanding Ogive**: An ogive is a graphical representation of cumulative frequency. It can be used to visualize the distribution of data and to find certain statistical measures.

2. **Types of Ogives**: There are two types of ogives:
- **Less than Ogive**: This represents the cumulative frequency of data points that are less than or equal to a particular value.
- **More than Ogive**: This represents the cumulative frequency of data points that are greater than or equal to a particular value.

3. **Purpose of Ogives**: The primary purpose of an ogive is to determine the median of a data set. The median is the value that separates the higher half from the lower half of the data set.

4. **Finding the Median**:
- To find the median using an ogive, you locate the point on the y-axis that corresponds to half of the total number of observations (N/2).
- Then, draw a horizontal line from this point to intersect the ogive.
- From the point of intersection, draw a vertical line down to the x-axis. The value on the x-axis at this point is the median.

5. **Evaluating the Options**:
- Option 1: Mean – Not determined by an ogive.
- Option 2: Median – Correct, as explained.
- Option 3: Mode – Not determined by an ogive.
- Option 4: Harmonic Mean (HM) – Not determined by an ogive.

### Conclusion:
The correct answer is **Option 2: Median**.