The table in the image consists of two columns:

1. الرّقم (Numbers): 2, 3, 5, 7, 8, 9
2. التكرار (Frequencies): 8, 10, 20, 20, 6, 6

This data likely represents a frequency distribution where each number in the "الرّقم" column has a corresponding frequency from the "التكرار" column. Here's how this can be analyzed further:

Key Insights and Calculations:

1. Total Observations: Sum the frequencies: $8 + 10 + 20 + 20 + 6 + 6 = 70$

2. Mean (Expected Value): Calculate the mean by multiplying each number by its frequency, summing the products, and dividing by the total observations: $\text{Mean} = \frac{(2 \times 8) + (3 \times 10) + (5 \times 20) + (7 \times 20) + (8 \times 6) + (9 \times 6)}{70}$

3. Mode: The mode is the number with the highest frequency. Here, both $5$ and $7$ have a frequency of $20$, making this a bimodal distribution.

4. Median: The median is the middle value when all observations are arranged in ascending order. Since there are $70$ total observations, the median will be the average of the 35th and 36th values in the ordered dataset.

Would you like a detailed solution for any specific aspect, such as the mean, median, or another type of analysis?

Related Questions:

1. How do you calculate the standard deviation for this dataset?
2. What are the cumulative frequencies for the numbers in the table?
3. How would you visualize this frequency distribution?
4. What is the range of the data represented here?
5. Could we calculate the probability of randomly selecting each number?

Tip:

When working with frequency distributions, always cross-check calculations with cumulative frequencies to ensure data consistency.