6.7 SPM Practice (Long Questions)


Question 9 (12 marks):
The data in the Diagram shows the mass, in g, of 30 strawberries plucked by a tourist from a farm.

Diagram

(a)
Based on the Diagram, complete Table 3 in the answer space.

(b)
Based on Table, calculate the estimated mean mass of a strawberry.

(c)
For this part of the question, use graph paper.
By using the scale of 2 cm to 10 g on the horizontal axis and 2 cm to 1 strawberry on the vertical axis, draw a histogram for the data.

(d)
Based on the histogram drawn in 14(c), state the number of strawberries with the mass of more than 50 g.

Answer:




Solution:
(a)


(b)
Estimated mean mass = Total [ midpoint×frequency ] Total frequencies = 2( 14.5 )+5( 24.5 )+10( 34.5 )+8( 44.5 )+ 3( 54.5 )+2( 64.5 ) 2+5+10+8+3+2 = 1145 30 =38.17


(c)


(d)
Number of strawberries with the mass more than 50 g
= 3 + 2
= 5