The table below gives sample data of seven full time students. The data is number of hours they worked in a week during the semester. Calculate the mean and standard deviation.
10, 12, 20, 25, 8, 12, 9
Solution:
x | x2 |
10 | 100 |
12 | 144 |
20 | 400 |
25 | 625 |
8 | 64 |
12 | 144 |
9 | 81 |
x= 96 | x2=1558 |
Mean
= (x
/ n) )
=(10+12+20+25+8+12+9)7
=96 /7
=13.7143
Mean = 13.71
The sample standard is S
S =
(
x2 ) - ((
x)2 / n ) n -1
=1558-(96)276
=*1558-1316.5714
) 6
=241.42866
=40.2381
=6.3434
The sample standard is 6.34
Get Answers For Free
Most questions answered within 1 hours.