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Maths 5 Marks Questions

Data Handling · Jharkhand Board (JAC) STD 8 (Jharkhand - English Medium). 2 questions.

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Question 15 Marks
The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart.
Language Hindi English Marathi Tamil Bengali Total
Number of Students $40$ $12$ $9$ $7$ $4$ $72$
Answer
Language Number of students In Fraction Central angle
Hindi $40$ $\frac{40}{72} = \frac{5}{9}$ $\frac{5}{9} \times$ $360^\circ = 200$
English $12$ $\frac{12}{72} = \frac{1}{6}$ $\frac{1}{6} \times$ $360^\circ = 60$
Marathi $9$ $\frac{9}{72} = \frac{1}{8}$ $\frac{1}{8} \times$ $360^\circ = 45$
Tamil $7$ $\frac{7}{22}$ $\frac{7}{22} \times$ $360^\circ = 35$
Bengali $4$ $\frac{4}{72} = \frac{1}{18}$ $\frac{1}{18} \times$ $360^\circ = 20$
Total $72$ $1$ $360^\circ$
The pie chart accordingly:
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Question 25 Marks
On a particular day, the sales (in rupees) of different items of a baker’s shop are given below.
ordinary bread $320$
fruit bread $80$
cakes and pastries $160$
biscuits $120$
others $40$
Total $720$
Draw a pie chart for this data
Answer
We find the central angle of each sector. Here the total sale $= ₹720$. We thus have this table.
Item Sales (in ₹) In Fraction Central Angle
ordinary bread $320$ $\frac{320}{720}=\frac{4}{9}$ $\frac{4}{9} \times 360^{\circ}=160^{\circ}$
fruit bread $80$ $\frac{120}{720}=\frac{1}{6}$ $\frac{1}{6} \times 360^{\circ}=60^{\circ}$
cakes and pastries $160$ $\frac{160}{720}=\frac{2}{9}$ $\frac{2}{9} \times 360^{\circ}=80^{\circ}$
biscuits $120$ $\frac{80}{720}=\frac{1}{9}$ $\frac{1}{9} \times 360^{\circ}=40^{\circ}$
others $40$ $\frac{40}{720}=\frac{1}{18}$ $\frac{1}{18} \times 360^{\circ}=20^{\circ}$
Now, we make the pie chart (fig)
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