Mr Daniels Maths
Grouped Data

Set 1

Set 2

Set 3

Q1) Estimate the mean from

xFrequency
00 < x ≤ 10 65
10 < x ≤ 20 300
20 < x ≤ 40 405
40 < x ≤ 50 270
50 < x ≤ 60 130
[ mean =31.00]

Q1) Calculate the variance from

xFrequency
00 < x ≤ 10 145
10 < x ≤ 20 110
20 < x ≤ 30 390
30 < x ≤ 40 420
40 < x ≤ 50 150
[ var =133.8]

Q1) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 50
10 < x ≤ 20 210
20 < x ≤ 40 180
40 < x ≤ 60 240
60 < x ≤ 70 200
[ Standard Deviation =20.15]

Q2) Estimate the mean from

xFrequency
00 < x ≤ 10 85
10 < x ≤ 30 110
30 < x ≤ 40 165
40 < x ≤ 60 330
60 < x ≤ 80 290
[ mean =46.12]

Q2) Calculate the variance from

xFrequency
00 < x ≤ 10 125
10 < x ≤ 30 280
30 < x ≤ 40 285
40 < x ≤ 60 345
60 < x ≤ 80 180
[ var =381.4]

Q2) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 115
10 < x ≤ 20 200
20 < x ≤ 30 390
30 < x ≤ 50 225
50 < x ≤ 70 250
[ Standard Deviation =17.73]

Q3) Estimate the mean from

xFrequency
00 < x ≤ 10 125
10 < x ≤ 20 130
20 < x ≤ 40 405
40 < x ≤ 60 240
60 < x ≤ 70 290
[ mean =38.30]

Q3) Calculate the variance from

xFrequency
00 < x ≤ 10 75
10 < x ≤ 30 120
30 < x ≤ 50 420
50 < x ≤ 60 210
60 < x ≤ 70 190
[ var =293.3]

Q3) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 60
10 < x ≤ 20 130
20 < x ≤ 40 390
40 < x ≤ 50 450
50 < x ≤ 60 160
[ Standard Deviation =13.70]

Q4) Estimate the mean from

xFrequency
00 < x ≤ 10 135
10 < x ≤ 20 210
20 < x ≤ 40 435
40 < x ≤ 50 435
50 < x ≤ 60 160
[ mean =32.91]

Q4) Calculate the variance from

xFrequency
00 < x ≤ 10 70
10 < x ≤ 30 280
30 < x ≤ 50 240
50 < x ≤ 60 150
60 < x ≤ 70 110
[ var =340.4]

Q4) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 130
10 < x ≤ 30 160
30 < x ≤ 40 180
40 < x ≤ 60 240
60 < x ≤ 80 210
[ Standard Deviation =21.89]

Q5) Estimate the mean from

xFrequency
00 < x ≤ 10 65
10 < x ≤ 20 220
20 < x ≤ 30 315
30 < x ≤ 50 450
50 < x ≤ 70 240
[ mean =34.03]

Q5) Calculate the variance from

xFrequency
00 < x ≤ 10 105
10 < x ≤ 20 230
20 < x ≤ 40 375
40 < x ≤ 60 345
60 < x ≤ 80 280
[ var =445.7]

Q5) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 145
10 < x ≤ 20 130
20 < x ≤ 30 450
30 < x ≤ 40 180
40 < x ≤ 60 250
[ Standard Deviation =14.19]