Mr Daniels Maths
Grouped Data

Set 1

Set 2

Set 3

Q1) Estimate the mean from

xFrequency
00 < x ≤ 10 50
10 < x ≤ 30 230
30 < x ≤ 40 375
40 < x ≤ 50 330
50 < x ≤ 60 160
[ mean =36.35]

Q1) Calculate the variance from

xFrequency
00 < x ≤ 10 145
10 < x ≤ 30 170
30 < x ≤ 40 450
40 < x ≤ 50 210
50 < x ≤ 70 140
[ var =247.3]

Q1) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 100
10 < x ≤ 30 150
30 < x ≤ 40 270
40 < x ≤ 60 150
60 < x ≤ 70 180
[ Standard Deviation =19.18]

Q2) Estimate the mean from

xFrequency
00 < x ≤ 10 70
10 < x ≤ 30 210
30 < x ≤ 50 255
50 < x ≤ 60 420
60 < x ≤ 70 290
[ mean =45.54]

Q2) Calculate the variance from

xFrequency
00 < x ≤ 10 80
10 < x ≤ 30 300
30 < x ≤ 40 270
40 < x ≤ 50 270
50 < x ≤ 70 190
[ var =256.7]

Q2) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 70
10 < x ≤ 20 160
20 < x ≤ 30 240
30 < x ≤ 50 360
50 < x ≤ 70 290
[ Standard Deviation =17.41]

Q3) Estimate the mean from

xFrequency
00 < x ≤ 10 100
10 < x ≤ 20 250
20 < x ≤ 30 405
30 < x ≤ 40 240
40 < x ≤ 60 100
[ mean =25.37]

Q3) Calculate the variance from

xFrequency
00 < x ≤ 10 70
10 < x ≤ 30 120
30 < x ≤ 50 300
50 < x ≤ 70 300
70 < x ≤ 90 250
[ var =513.7]

Q3) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 120
10 < x ≤ 20 180
20 < x ≤ 30 450
30 < x ≤ 50 450
50 < x ≤ 60 150
[ Standard Deviation =14.02]

Q4) Estimate the mean from

xFrequency
00 < x ≤ 10 120
10 < x ≤ 30 120
30 < x ≤ 50 210
50 < x ≤ 70 210
70 < x ≤ 80 190
[ mean =45.00]

Q4) Calculate the variance from

xFrequency
00 < x ≤ 10 60
10 < x ≤ 30 200
30 < x ≤ 40 450
40 < x ≤ 50 300
50 < x ≤ 60 190
[ var =168.1]

Q4) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 125
10 < x ≤ 30 200
30 < x ≤ 50 375
50 < x ≤ 70 150
70 < x ≤ 80 230
[ Standard Deviation =22.94]

Q5) Estimate the mean from

xFrequency
00 < x ≤ 10 90
10 < x ≤ 30 190
30 < x ≤ 40 360
40 < x ≤ 50 375
50 < x ≤ 70 100
[ mean =35.63]

Q5) Calculate the variance from

xFrequency
00 < x ≤ 10 125
10 < x ≤ 30 160
30 < x ≤ 40 390
40 < x ≤ 60 435
60 < x ≤ 70 280
[ var =318.7]

Q5) Calculate the Standard Deviation from

xFrequency
00 < x ≤ 10 125
10 < x ≤ 20 190
20 < x ≤ 30 225
30 < x ≤ 40 255
40 < x ≤ 50 260
[ Standard Deviation =13.34]