The table below shows the age distribution of the researchers in an institute. Age range$20 - 29$

Question

The table below shows the age distribution of the researchers in an institute.

Age range	$20 - 29$	$30 - 39$	$40 - 49$	$> 49$
Number of researchers	$35$	$30$	$20$	$x$

Given that $15%$ of the researchers are aged above $49$, find the value of $x$.
Determine which age range does each sector represents in the pie chart below, hence express each part as a percentage of the whole and find the angles of each sector.
Construct a bar graph using the grids below to illustrate the data.

The institute then hires a certain number of researchers aged between $40$ and $49$, such that the new number of researchers aged between $40$ and $49$ is $\frac{1}{3}$ of the new total number of researchers of the institute.

Given that there is no other change in the number of researchers of the institute, express the number of researchers aged between $30$ and $39$ as a percentage of the new total number of researchers of the institute.

Accepted Answer

(i) $x=15$ (ii) $20\text{–}29:35\%,126^\circ$, $30\text{–}39:30\%,108^\circ$, $40\text{–}49:20\%,72^\circ$, above $49:15\%,54^\circ$ (iii) Bar heights $35,30,20,15$, respectively (iv) $25\%$

Pie Charts, Line Graphs

Pie Charts, Line Graphs

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