Final Assignment
1) Melina recorded the number of passengers in each car of the first
100 cars that passed in front of her house on Sunday morning. The
outcomes are shown in the table below:
Number of 1 2 3 4 5
Passengers
(𝑥𝑖 )
Number of 44 30 15 4 7
Cars (𝑓𝑖 )
̃) value?
a) Find the mode(𝑴𝟎 ) and median(𝒙
Mode = 1 passenger
Median = 2 Passengers
̅)?
b) Find the mean value(𝒙
1(44)+2(30)+3(15)+4 (4)+5 (7)
=
100
44+60+45+16+35
=
100
200
=
100
=2
c) Find the standard deviation (𝝈)? (Give your answer in two
decimal places).
, X ft Xt -ft (Xt-x)2
1 44 44 1 44
2 30 60 0 0
3 15 45 1 15
4 4 16 4 16
5 7 35 9 63
∑𝒇𝒕 = 𝟏𝟎𝟎 ∑ = 200 ∑= 138
Mean = 200/100 = 2
138
STD = √
100
= √1.38
= 1,17
d) What is the probability a car to contain:
i) exactly 3 passengers?
15
=
100
𝟑
= 𝟐𝟎 OR 0.15
ii) at least 2 passengers?
56
=
100
28
=
50
1) Melina recorded the number of passengers in each car of the first
100 cars that passed in front of her house on Sunday morning. The
outcomes are shown in the table below:
Number of 1 2 3 4 5
Passengers
(𝑥𝑖 )
Number of 44 30 15 4 7
Cars (𝑓𝑖 )
̃) value?
a) Find the mode(𝑴𝟎 ) and median(𝒙
Mode = 1 passenger
Median = 2 Passengers
̅)?
b) Find the mean value(𝒙
1(44)+2(30)+3(15)+4 (4)+5 (7)
=
100
44+60+45+16+35
=
100
200
=
100
=2
c) Find the standard deviation (𝝈)? (Give your answer in two
decimal places).
, X ft Xt -ft (Xt-x)2
1 44 44 1 44
2 30 60 0 0
3 15 45 1 15
4 4 16 4 16
5 7 35 9 63
∑𝒇𝒕 = 𝟏𝟎𝟎 ∑ = 200 ∑= 138
Mean = 200/100 = 2
138
STD = √
100
= √1.38
= 1,17
d) What is the probability a car to contain:
i) exactly 3 passengers?
15
=
100
𝟑
= 𝟐𝟎 OR 0.15
ii) at least 2 passengers?
56
=
100
28
=
50
