Question

type the correct answer in each box.

day	amount
2	$23
3	$31
4	$26
5	$34

the table shows the amount bill spent on 5 days last week.

the mean of the amount he spent is $ \boxed{} . the mean absolute deviation is $ \boxed{} .

Explanation:

Step1: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Here, \(n = 5\), \(x_1=26\), \(x_2 = 23\), \(x_3=31\), \(x_4=26\), \(x_5 = 34\).
\(\sum_{i=1}^{5}x_{i}=26 + 23+31+26+34=140\)
\(\bar{x}=\frac{140}{5}=28\)

Step2: Calculate the mean - absolute - deviation

The formula for the mean - absolute - deviation \(MAD=\frac{\sum_{i = 1}^{n}|x_{i}-\bar{x}|}{n}\)
\(\vert26 - 28\vert=2\), \(\vert23 - 28\vert=5\), \(\vert31 - 28\vert=3\), \(\vert26 - 28\vert=2\), \(\vert34 - 28\vert=6\)
\(\sum_{i = 1}^{5}|x_{i}-\bar{x}|=2 + 5+3+2+6=18\)
\(MAD=\frac{18}{5}=3.6\)

Answer:

The mean of the amount he spent is \(\$28\). The mean absolute deviation is \(\$3.6\)