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