5

Complete the missing data in the following statistical table:

xi fi Fi ni
1 4   0.08
2 4    
3   16 0.16
4 7   0.14
5 5 28  
6   38  
7 7 45  
8      

Also, calculate the mean, median and mode of this distribution.


Table

First row:

F1 = 4Statistical Operations

Second row:

F2 = 4 + 4 = 8      Statistical Operations

Third row:

Statistical Operations

Fourth row:

N4 = 16 + 7 = 23

Fifth row:

Statistical Operations

Sixth row:

28 + n8 = 38      n8 = 10 formulas

Seventh row:

Statistical Operations

Eighth row:

N8 = N = 50 n8 = 50 − 45 = 5 Statistical Operations


xi fi Fi ni xi · fi
1 4 4 0.08 4
2 4 8 0.08 8
3 8 16 0.16 24
4 7 23 0.14 28
5 5 28 0.1 25
6 10 38 0.2 60
7 7 45 0.14 49
8 5 50 0.1 40
  50     238

Arithmetic Mean

Statistical Operations

Median

50/2 = 25 Me = 5

Mode

Mo = 6