[lower bound products are: 0, 200, 160, 150, 160] [sum of lower bound products is: 670]
[products using 3, 8, 13, 18, 23 are: 78, 320, 208, 180, 184] [sum of products using 3, 8, 13, 18, 23 is: 970]
[upper bound products are: 130, 400, 240, 200, 200] [sum of upper bound products is: 1170]
M2
“920” ÷ “100”
M1
Correct answer scores full marks (unless from obvious incorrect working) Answer: 9.2
A1
(4)
(5 marks)
Notes
M2: for at least 4 correct products added (need not be evaluated ie can be in the form 2.5 × 26 + 7.5 × 40 +…)
If not M2 then award:
M1 for consistent use of values within interval (including end points) for at least 4 products added (need not be evaluated ie can be in the form 5 × 26 + 10 × 40 +…)
or
correct midpoints used for at least 4 products and not added
M1: (dep on at least M1) Allow division by their \(\Sigma f\) provided addition or total under column seen
Sum of lower bound products = 1020 Sum of upper bound products = 1320
Sum of products using 11, 16, 21, 26 and 31 = 1080 Sum of products using 12, 17, 22, 27 and 32 = 1140 Sum of products using 13, 18, 23, 28 and 33 = 1200 Sum of products using 14, 19, 24, 29 and 34 = 1260
M2
“1170” ÷ 60
M1
Correct answer scores full marks (unless from obvious incorrect working) Answer: 19.5
A1
(4)
(5 marks)
Notes
M2: for at least 4 correct products added (need not be evaluated) or
If not M2 then award:
M1 for consistent use of value within interval (including end points) for at least 4 products which must be added
or
correct midpoints used for at least 4 products and not added
M1: dep on at least M1
Allow division by their \(\Sigma f\) provided addition or total under column seen