How do I find the Mean, Median and Mode from a frequency table?
Mean = Σx/n
Mode = most frequently observed (set of ) scores, therefore the value below the highest vertical point.
Median = value for which 50% of scores have a higher value and 50% have a lower value.
I hope this helps.
To find the mean, median, and mode from a frequency table, you will first need to understand what each of these terms represents.
Mean: The mean is also known as the average. It is obtained by adding up all the values in a set of data and then dividing the sum by the number of values. In the case of a frequency table, you will need to calculate the weighted mean by multiplying each value by its corresponding frequency.
Median: The median is the middle value of a set of data when it is arranged in ascending or descending order. If there is an odd number of data points, the median is the value in the exact middle. If there is an even number of data points, the median is the average of the two middle values.
Mode: The mode is the value that appears the most frequently in a set of data. It represents the peak or most common value in the dataset.
Now, let's go through the steps to find the mean, median, and mode from a frequency table:
1. Examine the frequency table and identify the values and corresponding frequencies.
2. To find the mean, multiply each value by its frequency. Then, sum up all the products. Finally, divide the sum by the total frequency (the sum of all frequencies).
3. To find the median, determine the cumulative frequency by adding up the frequencies as you move down the table. Identify the middle position of the cumulative frequency, and find the corresponding value in the table. If the middle position falls between two values, take their average to find the median.
4. To find the mode, select the value(s) with the highest frequency. If there is only one value with the highest frequency, it is the mode. If multiple values have the same highest frequency, the data set is multimodal.
By following these steps, you should be able to find the mean, median, and mode from a frequency table.