Mr Daniels Maths
Grouped Data

Set 1

Set 2

Set 3

Q1) Estimate the mean from

xFrequency
00 < x ≤ 10 55
10 < x ≤ 30 180
30 < x ≤ 50 195
50 < x ≤ 60 270
60 < x ≤ 80 300
[ mean =47.53]

Q1) Calculate the variance from

xFrequency
00 < x ≤ 10 135
10 < x ≤ 30 180
30 < x ≤ 50 165
50 < x ≤ 60 270
60 < x ≤ 80 230
[ var =508.3]

Q1) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 90
10 < x ≤ 30 220
30 < x ≤ 50 210
50 < x ≤ 60 225
60 < x ≤ 80 240
[ Standard Deviation =21.51]

Q2) Estimate the mean from

xFrequency
00 < x ≤ 10 100
10 < x ≤ 30 250
30 < x ≤ 50 180
50 < x ≤ 70 375
70 < x ≤ 90 230
[ mean =47.22]

Q2) Calculate the variance from

xFrequency
00 < x ≤ 10 150
10 < x ≤ 20 130
20 < x ≤ 40 240
40 < x ≤ 50 390
50 < x ≤ 60 220
[ var =283.2]

Q2) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 95
10 < x ≤ 30 160
30 < x ≤ 50 315
50 < x ≤ 60 240
60 < x ≤ 70 150
[ Standard Deviation =18.47]

Q3) Estimate the mean from

xFrequency
00 < x ≤ 10 125
10 < x ≤ 30 170
30 < x ≤ 40 210
40 < x ≤ 50 255
50 < x ≤ 60 220
[ mean =35.66]

Q3) Calculate the variance from

xFrequency
00 < x ≤ 10 145
10 < x ≤ 20 160
20 < x ≤ 40 420
40 < x ≤ 60 420
60 < x ≤ 70 240
[ var =364.5]

Q3) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 105
10 < x ≤ 20 270
20 < x ≤ 40 195
40 < x ≤ 60 435
60 < x ≤ 70 110
[ Standard Deviation =19.04]

Q4) Estimate the mean from

xFrequency
00 < x ≤ 10 55
10 < x ≤ 30 280
30 < x ≤ 40 195
40 < x ≤ 60 435
60 < x ≤ 80 180
[ mean =41.09]

Q4) Calculate the variance from

xFrequency
00 < x ≤ 10 75
10 < x ≤ 30 200
30 < x ≤ 40 390
40 < x ≤ 50 180
50 < x ≤ 60 180
[ var =197.5]

Q4) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 145
10 < x ≤ 30 130
30 < x ≤ 40 405
40 < x ≤ 60 315
60 < x ≤ 80 250
[ Standard Deviation =19.95]

Q5) Estimate the mean from

xFrequency
00 < x ≤ 10 65
10 < x ≤ 20 210
20 < x ≤ 40 375
40 < x ≤ 50 330
50 < x ≤ 60 140
[ mean =33.28]

Q5) Calculate the variance from

xFrequency
00 < x ≤ 10 135
10 < x ≤ 20 270
20 < x ≤ 30 450
30 < x ≤ 40 255
40 < x ≤ 60 160
[ var =161.8]

Q5) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 120
10 < x ≤ 20 220
20 < x ≤ 40 270
40 < x ≤ 60 405
60 < x ≤ 70 200
[ Standard Deviation =19.62]