Mr Daniels Maths
Grouped Data

Set 1

Set 2

Set 3

Q1) Estimate the mean from

xFrequency
00 < x ≤ 10 130
10 < x ≤ 30 250
30 < x ≤ 40 195
40 < x ≤ 60 315
60 < x ≤ 80 160
[ mean =37.55]

Q1) Calculate the variance from

xFrequency
00 < x ≤ 10 75
10 < x ≤ 30 250
30 < x ≤ 40 165
40 < x ≤ 50 150
50 < x ≤ 60 160
[ var =250.8]

Q1) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 95
10 < x ≤ 20 300
20 < x ≤ 30 210
30 < x ≤ 40 150
40 < x ≤ 60 260
[ Standard Deviation =15.25]

Q2) Estimate the mean from

xFrequency
00 < x ≤ 10 140
10 < x ≤ 30 160
30 < x ≤ 40 255
40 < x ≤ 60 270
60 < x ≤ 70 240
[ mean =39.37]

Q2) Calculate the variance from

xFrequency
00 < x ≤ 10 90
10 < x ≤ 30 290
30 < x ≤ 40 270
40 < x ≤ 50 330
50 < x ≤ 60 210
[ var =221.1]

Q2) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 95
10 < x ≤ 30 140
30 < x ≤ 50 330
50 < x ≤ 60 270
60 < x ≤ 80 100
[ Standard Deviation =18.56]

Q3) Estimate the mean from

xFrequency
00 < x ≤ 10 120
10 < x ≤ 20 280
20 < x ≤ 30 420
30 < x ≤ 40 150
40 < x ≤ 50 170
[ mean =24.74]

Q3) Calculate the variance from

xFrequency
00 < x ≤ 10 115
10 < x ≤ 20 190
20 < x ≤ 40 285
40 < x ≤ 50 375
50 < x ≤ 70 280
[ var =317.8]

Q3) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 70
10 < x ≤ 30 160
30 < x ≤ 40 180
40 < x ≤ 60 315
60 < x ≤ 70 200
[ Standard Deviation =18.25]

Q4) Estimate the mean from

xFrequency
00 < x ≤ 10 80
10 < x ≤ 30 140
30 < x ≤ 40 315
40 < x ≤ 50 315
50 < x ≤ 60 180
[ mean =37.18]

Q4) Calculate the variance from

xFrequency
00 < x ≤ 10 150
10 < x ≤ 20 190
20 < x ≤ 40 420
40 < x ≤ 50 180
50 < x ≤ 60 250
[ var =276.1]

Q4) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 135
10 < x ≤ 30 200
30 < x ≤ 50 330
50 < x ≤ 60 285
60 < x ≤ 70 250
[ Standard Deviation =19.64]

Q5) Estimate the mean from

xFrequency
00 < x ≤ 10 55
10 < x ≤ 30 150
30 < x ≤ 50 345
50 < x ≤ 70 330
70 < x ≤ 80 180
[ mean =47.52]

Q5) Calculate the variance from

xFrequency
00 < x ≤ 10 95
10 < x ≤ 20 110
20 < x ≤ 40 450
40 < x ≤ 50 420
50 < x ≤ 60 300
[ var =215.7]

Q5) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 125
10 < x ≤ 20 250
20 < x ≤ 40 375
40 < x ≤ 60 300
60 < x ≤ 80 190
[ Standard Deviation =20.52]