1.
xi |
fi |
fixi |
|xi-14| |
|xi-14|fi |
5 |
7 |
35 |
9 |
63 |
10 |
4 |
40 |
4 |
16 |
15 |
6 |
90 |
1 |
6 |
20 |
3 |
60 |
6 |
18 |
25 |
5 |
125 |
11 |
55 |
|
25 |
350 |
|
158 |
Mean = \(\bar{x}\) = \(\frac{\displaystyle\sum_{i=1}^{n} x_i f_i}{\displaystyle\sum_{i=1}^{n} f_i}\) = \(\frac{350}{25}\) = 14
M.D( \(\bar x\)) = \(\frac{\displaystyle\sum_{i=1}^{n} f_i|x_i - \bar x|}{\displaystyle\sum_{i=1}^{n} f_i}\) =\(\frac{158}{25}\) = 6.32
2.
xi |
fi |
fixi |
|xi-14| |
|xi-14|fi |
10 |
4 |
40 |
40 |
160 |
30 |
24 |
720 |
20 |
480 |
50 |
28 |
1400 |
0 |
0 |
70 |
16 |
1120 |
20 |
320 |
90 |
8 |
720 |
40 |
320 |
|
80 |
4000 |
|
1280 |
Mean = \(\bar{x}\) = \(\frac{\displaystyle\sum_{i=1}^{n} x_i f_i}{\displaystyle\sum_{i=1}^{n} f_i}\) = \(\frac{4000}{80} = 50\)
M.D( \(\bar x\)) = \(\frac{\displaystyle\sum_{i=1}^{n} f_i|x_i - \bar x|}{\displaystyle\sum_{i=1}^{n} f_i}\) = \(\frac{1280}{80} = 16\)