Question

whs mathematics of personal finance t1 expenses data calculating standard deviation matteo is continuing his calculations for his weekly expenses. what value will go into cell d14? 5 10 3.16 8.37

Explanation:

Step1: Calculate the mean

The data set for expenses is \(12,15,10,18,20,16,14,15\). The sum of these values is \(12 + 15+10 + 18+20+16+14+15=120\). There are \(n = 8\) data - points. The mean \(\bar{x}=\frac{120}{8}=15\).

Step2: Identify the value for the 14th - day calculation

We assume the pattern continues. For the 14th - day (if we consider the sequence of days), we need to find \((x_i-\text{mean})^2\). Since the mean is \(15\), and if we assume the 14th - day value is \(10\) (as it seems to be part of the sequence pattern in the context of calculating standard deviation), then \((x_{14}-\text{mean})^2=(10 - 15)^2=(- 5)^2 = 25\).

Answer:

25