What are median and mode and how do you find them?
Median- The middle number in a set of data. You find it by simply couting to the center of the set of data.
Mode- The number that occurrs the most times in a set of data.
To find the median:
1. Organize the given set of data in ascending order.
2. If the number of data points is odd, the median is the middle number in the ordered set.
3. If the number of data points is even, the median is the average of the two middle numbers.
For example, let's find the median of the data set: 3, 5, 2, 8, 6, 4, 9
1. Arrange the data in ascending order: 2, 3, 4, 5, 6, 8, 9
2. Since there are 7 data points, which is an odd number, the median is the middle number, which is 5.
To find the mode:
1. Count the frequency of each number in the data set.
2. Identify the number(s) with the highest frequency.
For example, let's find the mode of the following data set: 2, 4, 6, 4, 7, 2, 4, 3
1. Count the frequency of each number:
- 2 occurs 2 times
- 3 occurs 1 time
- 4 occurs 3 times
- 6 occurs 1 time
- 7 occurs 1 time
2. The number with the highest frequency is 4, so the mode of the data set is 4.