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)

 First class    Second class

Medians are similar, the first class has a wider spread and range of marks although the second class has the lowest mark.