Mr Daniels Maths
Grouped Data

Set 1

Set 2

Set 3

Q1) Estimate the mean from

xFrequency
00 < x ≤ 10 100
10 < x ≤ 20 160
20 < x ≤ 30 255
30 < x ≤ 50 405
50 < x ≤ 70 130
[ mean =31.69]

Q1) Calculate the variance from

xFrequency
00 < x ≤ 10 55
10 < x ≤ 30 180
30 < x ≤ 50 150
50 < x ≤ 60 270
60 < x ≤ 80 170
[ var =408.7]

Q1) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 115
10 < x ≤ 30 160
30 < x ≤ 50 240
50 < x ≤ 60 270
60 < x ≤ 70 120
[ Standard Deviation =19.40]

Q2) Estimate the mean from

xFrequency
00 < x ≤ 10 150
10 < x ≤ 30 270
30 < x ≤ 40 345
40 < x ≤ 60 390
60 < x ≤ 70 140
[ mean =36.16]

Q2) Calculate the variance from

xFrequency
00 < x ≤ 10 140
10 < x ≤ 30 170
30 < x ≤ 40 180
40 < x ≤ 50 225
50 < x ≤ 70 250
[ var =352.2]

Q2) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 110
10 < x ≤ 20 180
20 < x ≤ 40 390
40 < x ≤ 60 375
60 < x ≤ 70 130
[ Standard Deviation =17.95]

Q3) Estimate the mean from

xFrequency
00 < x ≤ 10 90
10 < x ≤ 20 100
20 < x ≤ 30 435
30 < x ≤ 40 330
40 < x ≤ 60 130
[ mean =28.46]

Q3) Calculate the variance from

xFrequency
00 < x ≤ 10 110
10 < x ≤ 20 280
20 < x ≤ 40 435
40 < x ≤ 50 405
50 < x ≤ 70 180
[ var =262.7]

Q3) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 110
10 < x ≤ 30 200
30 < x ≤ 40 450
40 < x ≤ 60 240
60 < x ≤ 80 230
[ Standard Deviation =19.26]

Q4) Estimate the mean from

xFrequency
00 < x ≤ 10 70
10 < x ≤ 30 100
30 < x ≤ 40 435
40 < x ≤ 60 210
60 < x ≤ 70 200
[ mean =40.47]

Q4) Calculate the variance from

xFrequency
00 < x ≤ 10 110
10 < x ≤ 20 100
20 < x ≤ 40 300
40 < x ≤ 60 225
60 < x ≤ 70 120
[ var =356.8]

Q4) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 85
10 < x ≤ 20 130
20 < x ≤ 40 315
40 < x ≤ 60 435
60 < x ≤ 80 270
[ Standard Deviation =20.03]

Q5) Estimate the mean from

xFrequency
00 < x ≤ 10 65
10 < x ≤ 20 250
20 < x ≤ 30 195
30 < x ≤ 40 330
40 < x ≤ 50 170
[ mean =27.87]

Q5) Calculate the variance from

xFrequency
00 < x ≤ 10 130
10 < x ≤ 30 180
30 < x ≤ 40 315
40 < x ≤ 60 450
60 < x ≤ 80 120
[ var =326.3]

Q5) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 90
10 < x ≤ 20 180
20 < x ≤ 30 150
30 < x ≤ 50 300
50 < x ≤ 60 170
[ Standard Deviation =16.22]