Question

the table gives a car dealers weekly sales for the first 26 weeks of a year. the mean number of cars sold per week is \boxed{}.
week | cars sold
1 | 1
2 | 1
3 | 4
4 | 2
5 | 4
6 | 10
7 | 8
8 | 5
9 | 9
10 | 6
11 | 2
12 | 5
13 | 6
14 | 5
15 | 7
16 | 1
17 | 4
18 | 6
19 | 8
20 | 9
21 | 2
22 | 5
23 | 9
24 | 5
25 | 3
26 | 3

Explanation:

Step1: Sum all cars sold

Add each value in "Cars Sold" column:
\(1 + 1 + 4 + 2 + 4 + 10 + 8 + 5 + 9 + 6 + 2 + 5 + 6 + 5 + 7 + 1 + 4 + 6 + 8 + 9 + 2 + 5 + 9 + 5 + 3 + 3\)
Calculate step - by - step:
Start with \(1+1 = 2\); \(2 + 4 = 6\); \(6 + 2 = 8\); \(8 + 4 = 12\); \(12 + 10 = 22\); \(22 + 8 = 30\); \(30 + 5 = 35\); \(35 + 9 = 44\); \(44 + 6 = 50\); \(50 + 2 = 52\); \(52 + 5 = 57\); \(57 + 6 = 63\); \(63 + 5 = 68\); \(68 + 7 = 75\); \(75 + 1 = 76\); \(76 + 4 = 80\); \(80 + 6 = 86\); \(86 + 8 = 94\); \(94 + 9 = 103\); \(103 + 2 = 105\); \(105 + 5 = 110\); \(110 + 9 = 119\); \(119 + 5 = 124\); \(124 + 3 = 127\); \(127 + 3 = 130\).

Step2: Calculate the mean

Mean formula: \(\bar{x}=\frac{\sum x}{n}\), where \(n = 26\) (number of weeks), \(\sum x = 130\).
So, \(\bar{x}=\frac{130}{26}=5\).

Answer:

5