Question

How can I construct a tally table to represent the data?

Answer 1

a)

To construct a tally table, we will have to present the table ranging from 150 to 156

b)

The probability of choosing a student not more than 153 in height means

`\begin{gathered} Pr(h\leq153) \\ Pr(h\leq153)=(n(h\leq153))/(n(S)) \\ (h\leq153)=1+5+10+16=32 \\ n(S)=50 \\ Pr(h\leq153)=(n(h\leq153))/(n(S))=(32)/(50)=(16)/(25) \end{gathered}`

Hence,

The probability of picking not more than 153cm in height is = 16/25

b ii)

To figure out the probability greater than 153cm in height

`\begin{gathered} Pr(h>153) \\ Pr(h>153)=(n(h>153))/(n(S)) \\ n(h>153)=10+6+2=18 \\ n(S)=50 \\ Pr(h>153)=(n(h>153))/(n(S))=(18)/(50)=(9)/(25) \end{gathered}`

Hence,

The probability of height greater than 153cm = 9/25