Mr Daniels Maths
Grouped Data

Set 1

Set 2

Set 3

Q1) Estimate the mean from

xFrequency
00 < x ≤ 10 70
10 < x ≤ 30 250
30 < x ≤ 50 300
50 < x ≤ 70 315
70 < x ≤ 80 260
[ mean =46.65]

Q1) Calculate the variance from

xFrequency
00 < x ≤ 10 125
10 < x ≤ 30 290
30 < x ≤ 40 300
40 < x ≤ 50 330
50 < x ≤ 60 130
[ var =220.1]

Q1) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 50
10 < x ≤ 20 220
20 < x ≤ 30 195
30 < x ≤ 50 225
50 < x ≤ 70 300
[ Standard Deviation =18.67]

Q2) Estimate the mean from

xFrequency
00 < x ≤ 10 100
10 < x ≤ 30 190
30 < x ≤ 50 150
50 < x ≤ 60 240
60 < x ≤ 70 290
[ mean =43.66]

Q2) Calculate the variance from

xFrequency
00 < x ≤ 10 70
10 < x ≤ 30 200
30 < x ≤ 50 210
50 < x ≤ 60 195
60 < x ≤ 80 100
[ var =386.2]

Q2) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 65
10 < x ≤ 30 240
30 < x ≤ 50 300
50 < x ≤ 60 255
60 < x ≤ 80 130
[ Standard Deviation =18.79]

Q3) Estimate the mean from

xFrequency
00 < x ≤ 10 70
10 < x ≤ 20 290
20 < x ≤ 30 450
30 < x ≤ 50 360
50 < x ≤ 70 200
[ mean =30.91]

Q3) Calculate the variance from

xFrequency
00 < x ≤ 10 75
10 < x ≤ 20 150
20 < x ≤ 30 240
30 < x ≤ 50 210
50 < x ≤ 70 250
[ var =338.2]

Q3) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 60
10 < x ≤ 30 270
30 < x ≤ 40 225
40 < x ≤ 60 450
60 < x ≤ 70 300
[ Standard Deviation =17.74]

Q4) Estimate the mean from

xFrequency
00 < x ≤ 10 70
10 < x ≤ 30 290
30 < x ≤ 50 315
50 < x ≤ 70 420
70 < x ≤ 80 240
[ mean =46.40]

Q4) Calculate the variance from

xFrequency
00 < x ≤ 10 140
10 < x ≤ 30 160
30 < x ≤ 50 300
50 < x ≤ 70 375
70 < x ≤ 90 190
[ var =555.7]

Q4) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 75
10 < x ≤ 20 200
20 < x ≤ 40 285
40 < x ≤ 60 405
60 < x ≤ 70 210
[ Standard Deviation =18.81]

Q5) Estimate the mean from

xFrequency
00 < x ≤ 10 140
10 < x ≤ 20 180
20 < x ≤ 30 435
30 < x ≤ 50 315
50 < x ≤ 60 280
[ mean =31.31]

Q5) Calculate the variance from

xFrequency
00 < x ≤ 10 140
10 < x ≤ 30 150
30 < x ≤ 40 300
40 < x ≤ 50 300
50 < x ≤ 60 270
[ var =253.9]

Q5) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 50
10 < x ≤ 20 130
20 < x ≤ 40 180
40 < x ≤ 50 375
50 < x ≤ 60 210
[ Standard Deviation =15.04]