1.

Number of cars (x)
Tally
frequency (f)
f . x
1

1111  1111  1111 1

16
16
2
1111  1111
9
18
3
1111 11
7
21
4
1111
5
20
5
11
2
10
6
1
1
6
Totals
 
40
91

a. Mean number of cars = 91 ÷ 40 = 2.275

b.

2.

Number of students
Frequency (f)

Midpoint
(x)

f . x
1 − 20
87
10.5

913.5

21 − 40
324
30.5
9882
41 − 60
158
50.5
7979
61 − 80
23
70.5
1621.5
81 -100
8
90.5
724
Totals
600
 
21120

a. 

b. Mean = 35.2

Modal class is 21 − 40

3. a.

Height (cm)
Frequency (f)
Midpoint (x)
f.x
160 − 170
2
165
330
170 − 180
3
175
525
180 − 190
4
185
740
190 − 200
7
195
1365
200 − 210
4
205
820
 
20
 
3780

b.

c. The mean is 189

d. The modal class is 190 − 200

e.

Height (cm)

Cumulative Frequency
(less than x)

160
0
170
2
180
5
190
9
200
16
210
20

 

f.(i) median = 192 cm

(ii) upper quartile = 198 cm

(iii) lower quartile = 180 cm

(iv) 80th percentile = 200 cm

(v) 10th percentile = 170 cm