Cumulative frequency diagrams and box and whisker plots
For each of the following tables of data a) Copy
and complete the tables and the draw the cumulative frequency diagram b) Find
the median and the upper and lower quartiles c)
Construct the corresponding box and whisker
plot directly.
|
Weight (kg) |
frequency |
New label |
Cumulative Frequency |
|
0≤w<5 |
4 |
<5 |
4 |
|
5≤w<10 |
3 |
<10 |
7 |
|
10≤w<15 |
2 |
<15 |
9 |
|
15≤w<20 |
1 |
<20 |
10 |
|
Weight (g) |
frequency |
New label |
Cumulative Frequency |
|
0≤w<25 |
5 |
<25 |
5 |
|
25≤w<50 |
2 |
<50 |
7 |
|
50≤w<75 |
6 |
<75 |
|
|
75≤w<100 |
7 |
|
|
|
100≤w<125 |
8 |
|
|
|
Height (m) |
frequency |
New label |
Cumulative Frequency |
|
1.2≤h<1.4 |
8 |
<1.4 |
|
|
1.4≤h<1.6 |
12 |
<1.6 |
|
|
1.6≤h<1.8 |
4 |
<1.8 |
|
|
1.8≤h<2.1 |
1 |
<2.1 |
|
|
Time (s) |
frequency |
New label |
Cumulative Frequency |
|
0≤t<5 |
40 |
|
40 |
|
5≤t<15 |
20 |
|
|
|
15≤t<30 |
90 |
|
|
|
30≤t<50 |
120 |
|
|
|
50≤t<90 |
200 |
|
|
|
90≤t<100 |
30 |
|
|