1.
|
(i) |
(a) 4 |
(b) 3 |
(c) 5 |
|
(ii) |
(a) 100.5 |
(b) 101 |
(c) 100 |
|
(iii) |
(a) 12 |
(b) 12 |
(c) 13.2 |
|
(iv) |
(a) 20 |
(b) 20 |
(c) 22.5 |
2. (a) Mean = 69.4 (to 1 d.p.) Median = 70 Mode = 62
(b) The mode
3.
|
(a) $10.43 |
(b) $11.25 |
(c) $8.60 |
4. (a) 40 (b) 40 cm (c) 37 ± 2% (d) 21 ± 2% (e) 7 ± 1
5.(a)
|
Score (x) |
Frequency (f) |
x.f |
|
0 |
1 |
0 |
|
1 |
1 |
1 |
|
2 |
2 |
4 |
|
3 |
2 |
6 |
|
4 |
2 |
8 |
|
5 |
3 |
15 |
|
6 |
5 |
30 |
|
7 |
3 |
21 |
|
8 |
1 |
8 |
|
9 |
0 |
0 |
|
10 |
0 |
0 |
|
Totals |
20 |
93 |
(b) Histogram of test results
(c) Frequency curve of test results.
Marks
(d) 4.65 (e) 5 (f) 6
(g) (i) 0.15 (ii) 0.4
6. (a)
|
Time (t) (seconds) |
Cumulative frequency |
|
|
0 |
|
|
5 |
|
|
12 |
|
|
26 |
|
|
54 |
|
|
75 |
|
|
88 |
|
|
97 |
|
|
100 |
(b) 
(c) 75 (d) 0.12 (e) 88%
7. (a) Continuous (b) Discrete
(c) Continuous (d) Discrete
8. (a)
|
Temp oC |
Frequency |
Midpoint |
f. x |
|
15 − 17 |
2 |
16 |
32 |
|
18 − 20 |
2 |
19 |
38 |
|
21 − 23 |
5 |
22 |
110 |
|
24 − 26 |
7 |
25 |
175 |
|
27 − 29 |
4 |
28 |
112 |
|
20 |
467 |
(b) Histogram of temperatures
(c) 24 − 26oC (d) 23.35oC (e) 24oC (f) 0.8
9. (a) 200
(b) (i) 140 ± 5 (ii) 100 (iii) 170 ± 5
(c) 0.7
(d) 2800
(e) 340 mL
10.
11. (a)
(b) There are 19 results in each class , therefore the10th score is the median, the 5th score is the lower quartile and the 15th score is the upper quartile.
From diagram:
|
First class:
|
median = 56 |
Second class:
|
median = 55 |
|
upper quartile = 73 |
upper quartile = 66 |
||
|
lower quartile = 43 |
lower quartile = 42 |
(c)
|
|
 |
Medians are similar, the first class has a wider spread and range of marks although the second class has the lowest mark.
