Question

20 plants were measured and their heights recorded in cm.

Here are the heights:
8.5
12.6
13.2
17 11.1
7.7
4.8 9.9 13.5
15.6 17.4
14
12 14.7 9.5
9.8
10
11.3
5 10 15 6.9
5

please answer :
a)
and
b)

Answer 1

`\begin{array}{ \rule{3cm}0cm}&{ \rule{3cm}0cm} \\ \bf Height, h cm& \bf Frequency\\{ \rule{3cm}0cm}&{ \rule{3cm}0cm}\\ \\ 0 < h \leqslant 5 & 2 \\{ \rule{3cm}0cm}&{ \rule{3cm}0cm} \\5 < h \leqslant 10& 7 \\{ \rule{3cm}0cm}&{ \rule{3cm}0cm} \\ 10 < h \leqslant 15&8 \\{ \rule{3cm}0cm}&{ \rule{3cm}0cm} \\ 15 < h \leqslant 20&3 \\ { \rule{3cm}0cm}&{ \rule{3cm}0cm}\end{array}`

Explanation:

According to the topic,

We know the number of following height, h cm :-

• The number of 0 < h ≤ 15 are 4.8 , 5
• The number of 5 < h ≤ 10 are 8.5 , 9.8 , 7.7 , 10 , 9.9 , 6.9 , 9.5
• The number of 10 < h ≤ 15 are 13.2 , 12.6 , 11.1 , 13.5 , 11.3 , 14 , 14.7 , 12
• The number of 15 < h ≤ 20 are 17, 15.4 , 17.4