Question 1 /13/
1.1 State whether the following statements are true or false (7)
Choose the correct option by marking with an (X)
Statements True False
a. The symbol ∑means add together X
n n n
X
∑ ( ai bi )=∑ ( ai ) ∑ ( b i )
i=1 i=1 i=1
b.
c. point where the x axis meets the y axis is called the origin X
d. The independent variable is always represented on the y axis X
e. In a bar chart, the x axis indicates the categories and the y X
axis indicates the size of the categories
f. The scales on the x and y axis should always be the same X
g. Word sums can’t be generalized using equations X
1.2 Given the following data, calculate the following: (6)
i 1 2 3 4 5
Xi 1 0 2 0 3
Yi 2 8 5 16 2
a. (2)
5
∑ ( X i )=1+ 0+¿ ¿2+ 3= 6
i=1
b. (4)
5 5 5
∑ ( X i Y i+3 )=∑ ( X i Y i ) +∑ ( 3 )
i=1 i=1 i=1
= ( 1∗2+ 0∗8+2∗5+ 0∗16+ 3∗2 ) + ( 5∗3 )
= 2+10+6+ 15=33
1.1 State whether the following statements are true or false (7)
Choose the correct option by marking with an (X)
Statements True False
a. The symbol ∑means add together X
n n n
X
∑ ( ai bi )=∑ ( ai ) ∑ ( b i )
i=1 i=1 i=1
b.
c. point where the x axis meets the y axis is called the origin X
d. The independent variable is always represented on the y axis X
e. In a bar chart, the x axis indicates the categories and the y X
axis indicates the size of the categories
f. The scales on the x and y axis should always be the same X
g. Word sums can’t be generalized using equations X
1.2 Given the following data, calculate the following: (6)
i 1 2 3 4 5
Xi 1 0 2 0 3
Yi 2 8 5 16 2
a. (2)
5
∑ ( X i )=1+ 0+¿ ¿2+ 3= 6
i=1
b. (4)
5 5 5
∑ ( X i Y i+3 )=∑ ( X i Y i ) +∑ ( 3 )
i=1 i=1 i=1
= ( 1∗2+ 0∗8+2∗5+ 0∗16+ 3∗2 ) + ( 5∗3 )
= 2+10+6+ 15=33