1. Mean = 5.2 kg
Median = 5.2 kg
Mode = 5.1 kg

2. a. Mean = 6.8 (to 2 s.f.)
b. Mean = 476.3 (to 4 s.f.)
c. Mean = 0.7663 (to 4 s.f.)

3. Mean = 6.6
Median = 7
Mode = 7

4.

Heights (cm)
Midpoint (x)
Frequency (f)
f.x
130 -
135
7
945
140 -
145
13
1885
150 -
155
21
3255
160 -
165
28
4620
170 -
175
13
2275
180 -
185
10
1850
190 − 200
195
8
1560
 
Totals
100
16 390

a. The modal interval is 160 − 170

b. The mean is 163.9

c. The median interval is 160 − 170

5. a. Discrete
b. Continuous
c. Discrete
d. Discrete
e. Continuous

6. The mean is an approximation because each value is place into an interval and given the value of the midpoint of that interval.

7. The new number is 42

8. The mean of all 10 numbers is 8

9. The value of x is 18