Averages and spread: mean, median, mode, range and standard deviation

1. There are 8 values adding to 40.
   $$\bar{x} = \frac{40}{8} = 5$$
2. The middle two values are 4 and 5.
   $$\text{median} = \frac{4 + 5}{2} = 4.5$$
3. 4 appears most often; the range is 9 − 2.
   $$\text{mode} = 4,\quad \text{range} = 7$$

উত্তর: Mean 5, median 4.5, mode 4, range 7

✓ Sumzo-র ম্যাথ ইঞ্জিনে যাচাই করা

1. The squared distances from the mean 5 add up to 32.
   $$9 + 1 + 1 + 1 + 0 + 0 + 4 + 16 = 32$$
2. Divide by 8 for the variance, then take the square root.
   $$\sigma^2 = \frac{32}{8} = 4,\quad \sigma = 2$$

উত্তর: 2

✓ Sumzo-র ম্যাথ ইঞ্জিনে যাচাই করা