What happens when we add, subtract, multiply, or divide all values in the distribution?

✏️ Example: All employees receive a ₪1,000 bonus

• The mean increases by ₪1,000
• The standard deviation remains unchanged

✏️ Example: All employees get a 10% raise (multiply by 1.1)

• The mean is multiplied by 1.1
• The standard deviation is multiplied by 1.1

💡 Why does the height change?

The total area must remain 100%. If the width increases, the height must decrease!

Not every distribution is normal! In an asymmetric distribution the mean, median, and mode are not at the same point.

💡 Rule of thumb: The mean is "pulled" toward the tail!

Right tail → mean > median

Left tail → mean < median

1️⃣ Mode – always at the highest point

2️⃣ Median – divides the area 50%-50%

3️⃣ Mean – "pulled" toward extreme values

✏️ Example: Salary distribution with median ₪8,500

If the distribution is right-skewed (due to managers with high salaries):

• The mode will be below ₪8,500
• The mean will be above ₪8,500