Finding: The Mean from Grouped Frequency Table - Mr Kim
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Finding: The Mean from Grouped Frequency Table
- Mr Kim
Finding the Mean from Grouped Data
Class Frequency, f
0-9 810-19 720-29 530-39 840-49 450-59 1
Finding the Mean from Grouped Data
Class Frequency, f
0-9 810-19 720-29 530-39 840-49 450-59 1
This is a Grouped Frequency Table
Finding the Mean from Grouped Data
To calculate the Mean, the c.c and fx column must be
added and filled in
Class Frequency, f
0-9 810-19 720-29 530-39 840-49 450-59 1
Class Frequency, f Class centre, c.c
fx
0-9 810-19 720-29 530-39 840-49 450-59 1
Finding the Mean from Grouped Data
To calculate the Mean, the c.c and fx column must be
added and filled in
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 810-19 720-29 530-39 840-49 450-59 1
Start with c.c column
Class Frequency, f Class centre, c.c
fx
0-9 810-19 720-29 530-39 840-49 450-59 1
Finding the Mean from Grouped Data
0
Class Frequency, f Class centre, c.c
fx
0-9 810-19 720-29 530-39 840-49 450-59 1
Finding the Mean from Grouped Data
90
Class Frequency, f Class centre, c.c
fx
0-9 810-19 720-29 530-39 840-49 450-59 1
Finding the Mean from Grouped Data
290
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 720-29 530-39 840-49 450-59 1
5.4290
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 720-29 530-39 840-49 450-59 1
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 720-29 530-39 840-49 450-59 1
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 720-29 530-39 840-49 450-59 1
Finding the Mean from Grouped Data
10
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 720-29 530-39 840-49 450-59 1
Finding the Mean from Grouped Data
1910
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 720-29 530-39 840-49 450-59 1
Finding the Mean from Grouped Data
21910
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 7 14.520-29 530-39 840-49 450-59 1
Finding the Mean from Grouped Data
5.1421910
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 7 14.520-29 530-39 840-49 450-59 1
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 7 14.520-29 530-39 840-49 450-59 1
Finding the Mean from Grouped Data
2920
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 7 14.520-29 530-39 840-49 450-59 1
Finding the Mean from Grouped Data
22920
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 7 14.520-29 5 24.530-39 840-49 450-59 1
Finding the Mean from Grouped Data
5.2422920
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 7 14.520-29 5 24.530-39 840-49 450-59 1
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 7 14.520-29 5 24.530-39 840-49 450-59 1
Finding the Mean from Grouped Data
39303930
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 7 14.520-29 5 24.530-39 840-49 450-59 1
Finding the Mean from Grouped Data
23930
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 7 14.520-29 5 24.530-39 8 34.540-49 450-59 1
Finding the Mean from Grouped Data
5.3423930
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 7 14.520-29 5 24.530-39 8 34.540-49 450-59 1
Finding the Mean from Grouped Data
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 7 14.520-29 5 24.530-39 8 34.540-49 450-59 1
24940
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 7 14.520-29 5 24.530-39 8 34.540-49 4 44.550-59 1
5.4424940
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 7 14.520-29 5 24.530-39 8 34.540-49 4 44.550-59 1
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 7 14.520-29 5 24.530-39 8 34.540-49 4 44.550-59 1
25950
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 7 14.520-29 5 24.530-39 8 34.540-49 4 44.550-59 1 54.5
25950 5.5425950
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 7 14.520-29 5 24.530-39 8 34.540-49 4 44.550-59 1 54.5
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 7 14.520-29 5 24.530-39 8 34.540-49 4 44.550-59 1 54.5
Now, fill in the fx column
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 7 14.520-29 5 24.530-39 8 34.540-49 4 44.550-59 1 54.5
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.510-19 7 14.520-29 5 24.530-39 8 34.540-49 4 44.550-59 1 54.5
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.520-29 5 24.530-39 8 34.540-49 4 44.550-59 1 54.5
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.520-29 5 24.530-39 8 34.540-49 4 44.550-59 1 54.5
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.520-29 5 24.530-39 8 34.540-49 4 44.550-59 1 54.5
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.530-39 8 34.540-49 4 44.550-59 1 54.5
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.530-39 8 34.540-49 4 44.550-59 1 54.5
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.540-49 4 44.550-59 1 54.5
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.540-49 4 44.550-59 1 54.5
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.550-59 1 54.5
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Now, calculate the Total fx
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Now, calculate the Total fx
Total fx =
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Total fx =
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Total fx = 36+
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Total fx = 36+
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Total fx = 36+101.5+
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Total fx = 36+101.5+122.5+
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Total fx = 36+101.5+122.5+276+
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Total fx = 36+101.5+122.5+276+178+
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Total fx = 36+101.5+122.5+276+178+54.5
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Total fx = 36+101.5+122.5+276+178+54.5= 768.5
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Total fx = 768.5
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Now, calculate the Total Frequency
Total fx = 768.5
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Now, calculate the Total Frequency
Total fx = 768.5Total f =
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Total fx = 768.5Total f = 8+
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Total fx = 768.5Total f = 8+7+
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Total fx = 768.5Total f = 8+7+5+
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Total fx = 768.5Total f = 8+7+5+8+
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Total fx = 768.5Total f = 8+7+5+8+4+
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Total fx = 768.5Total f = 8+7+5+8+4+1
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Total fx = 768.5Total f = 8+7+5+8+4+1= 33
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Total fx = 768.5Total f = 8+7+5+8+4+1= 33
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Mean = Total fx ÷ Total f
Total fx = 768.5Total f = 8+7+5+8+4+1= 33
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Mean = Total fx ÷ Total f 768.6 ÷
Total fx = 768.5Total f = 8+7+5+8+4+1= 33
Finding the Mean from Grouped Data
Class Frequency, f Class centre, c.c
fx
0-9 8 4.5 3610-19 7 14.5 101.520-29 5 24.5 122.530-39 8 34.5 27640-49 4 44.5 17850-59 1 54.5 54.5
Mean = Total fx ÷ Total f768.6 ÷ 33 = 23.3
Our Final Answer!
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