Density = mass/volume = 32 g /4 cm3 = 8 g/cm3 Solution Density = mass/volume = 32 g /4 cm3 = 8 g/cm3.

1. Mean = xf/f
S = Sqrt((x-x')2f/n)
interval
Midpoint(x)
frequency(f)
xf
Mean(x')
(x-x')
(x-x')2
(x-x')2f
1.95
2.15
2.05
25
51.25
2.715079
-0.66508
0.44233
11.05825
2.15
2.35
2.25
18
40.5
-0.46508
0.216298
3.893373
2.35
2.55
2.45
20
49
-0.26508
0.070267
1.405338

2. 2.55
2.75
2.65
8
21.2
-0.06508
0.004235
0.033882
2.75
2.95
2.85
9
25.65
0.134921
0.018204
0.163833
2.95
3.15
3.05
14
42.7
0.334921
0.112172
1.570409
3.15
3.35
3.25
15
48.75
0.534921
0.28614
4.292107
3.35
3.55
3.45
2

3. 6.9
0.734921
0.540109
1.080218
3.55
3.75
3.65
8
29.2
0.934921
0.874077
6.992618
3.75
3.95
3.85
7
26.95
1.134921
1.288046
9.01632
126
342.1
39.50635
Mean = 2.715079
Varience = 0.313542
Standard Deviation = 0.559948617
interval
Midpoint(x)
frequency(f)
xf
Mean(x')
(x-x')
(x-x')2
(x-x')2f
1.95
2.15

4. 2.05
25
51.25
2.715079
-0.66508
0.44233
11.05825
2.15
2.35
2.25
18
40.5
-0.46508
0.216298
3.893373
2.35
2.55
2.45
20
49
-0.26508
0.070267
1.405338
2.55
2.75
2.65
8
21.2
-0.06508
0.004235
0.033882
2.75
2.95
2.85
9
25.65

5. 0.134921
0.018204
0.163833
2.95
3.15
3.05
14
42.7
0.334921
0.112172
1.570409
3.15
3.35
3.25
15
48.75
0.534921
0.28614
4.292107
3.35
3.55
3.45
2
6.9
0.734921
0.540109
1.080218
3.55
3.75
3.65
8
29.2
0.934921
0.874077
6.992618
3.75

6. 3.95
3.85
7
26.95
1.134921
1.288046
9.01632
126
342.1
39.50635
Solution
Mean = xf/f
S = Sqrt((x-x')2f/n)
interval
Midpoint(x)
frequency(f)
xf
Mean(x')
(x-x')
(x-x')2
(x-x')2f
1.95
2.15
2.05
25
51.25
2.715079
-0.66508
0.44233
11.05825
2.15
2.35
2.25
18

7. 40.5
-0.46508
0.216298
3.893373
2.35
2.55
2.45
20
49
-0.26508
0.070267
1.405338
2.55
2.75
2.65
8
21.2
-0.06508
0.004235
0.033882
2.75
2.95
2.85
9
25.65
0.134921
0.018204
0.163833
2.95
3.15
3.05
14
42.7
0.334921
0.112172
1.570409

8. 3.15
3.35
3.25
15
48.75
0.534921
0.28614
4.292107
3.35
3.55
3.45
2
6.9
0.734921
0.540109
1.080218
3.55
3.75
3.65
8
29.2
0.934921
0.874077
6.992618
3.75
3.95
3.85
7
26.95
1.134921
1.288046
9.01632
126
342.1
39.50635
Mean = 2.715079

9. Varience = 0.313542
Standard Deviation = 0.559948617
interval
Midpoint(x)
frequency(f)
xf
Mean(x')
(x-x')
(x-x')2
(x-x')2f
1.95
2.15
2.05
25
51.25
2.715079
-0.66508
0.44233
11.05825
2.15
2.35
2.25
18
40.5
-0.46508
0.216298
3.893373
2.35
2.55
2.45
20
49
-0.26508
0.070267
1.405338
2.55

10. 2.75
2.65
8
21.2
-0.06508
0.004235
0.033882
2.75
2.95
2.85
9
25.65
0.134921
0.018204
0.163833
2.95
3.15
3.05
14
42.7
0.334921
0.112172
1.570409
3.15
3.35
3.25
15
48.75
0.534921
0.28614
4.292107
3.35
3.55
3.45
2
6.9

11. 0.734921
0.540109
1.080218
3.55
3.75
3.65
8
29.2
0.934921
0.874077
6.992618
3.75
3.95
3.85
7
26.95
1.134921
1.288046
9.01632
126
342.1
39.50635