Edexcel IGCSE Math B 10 statistics and probability

Use this Statistics and Probability hub to move from grouped means and modal classes into probability language, rules, conditional probability and expected frequency.

Covered syllabus points

10.A Graphical representation of data 10.B Mean, median and mode 10.C Grouped mean estimates 10.D Modal class and median class 10.E Probability language 10.F Addition rule 10.G Product rule 10.H Independent event probability 10.I Conditional probability 10.J Simple conditional probability 10.K Expected frequency

[Maximum number: 7]

Chetan owns a fruit shop.
In January, Chetan sold 560 kg of citrus fruit.
In February, Chetan sold 518 kg of citrus fruit.

The table below shows the weight of citrus fruit, berries and tropical fruit Chetan sold in March.

Table for Question 10 Statistics and probability question 1 — Edexcel IGCSE Math B

The table below gives information about the weight, in kg, of berries sold on each of the 30 days in April.

Chetan wants to buy 60 kg of apples for his shop from US traders or French traders.
US traders: 12 kg box of apples for $29.50, free delivery, buy 4 boxes and get a 5th box free.
French traders: 1.72 euros per kg of apples, total delivery cost of 22.80 euros, special offer of 15% off the cost of apples and delivery.
Exchange rate: $\$1=0.92$ euros.

(a)

Chetan is going to draw a pie chart for this information.
Calculate the size, in degrees, of the angle of the sector in the pie chart for the weight of berries sold in March.

[ 2 ]

$\frac{126}{508+126+86}\times360=63$

Final answer:
$63^\circ$

M1 for a method to find the angle.
A1 cao.

(b)

Find the class interval that contains the median weight.

[ 1 ]

Final answer:
$5<w\leq10$

B1; allow $5\text{--}10$ or 5<w<10.

(c)

Calculate an estimate for the mean weight, in kg, of berries sold on each day in April.

[ 4 ]

$2.5\times10=25$ $7.5\times7=52.5$ $12.5\times6=75$ $17.5\times5=87.5$ $22.5\times2=45$ 25+52.5+75+87.5+45=285 $\frac{285}{30}=9.5$

Final answer:
$9.5\text{ kg}$

M2 for at least 3 correct products added, or M1 for partial midpoint-frequency work.
M1 for dividing their sum by 30, dependent on previous working.
A1 oe.

[Maximum number: 5]

Here are the weights, in kilograms, of 12 children.

\begin{array}{llllllllllll} 19 & 25 & 28 & 21 & 22 & 21 & 26 & 28 & 24 & 20 & 29 & 28 \end{array}

Calculate

(a)

the median weight,

[ 2 ]

Rearranged weights:
19,20,21,21,22,24,25,26,28,28,28,29 $\text{Median}=\frac{24+25}{2}=24.5$

Answer: 24.5 kg.

Marks: M1 for ordered list and middle-pair method; A1.

(b)

the mean weight.

[ 2 ]

$\text{Mean}=\frac{19+25+28+21+22+21+26+28+24+20+29+28}{12}=24.25$

Answer: 24.25 kg.

Marks: M1, A1.

(c)

One of these 12 children is chosen at random.

Find the probability that this child has a weight that is less than 28 kg.

[ 1 ]

There are 8 weights less than 28 kg out of 12.
$\frac8{12}=\frac23$

Answer: $\frac23$ .

Marks: B1.

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Covered syllabus points

10 Statistics and probability question 1

Question (a)

Question (b)

Question (c)

10 Statistics and probability question 2

Question (a)

Question (b)

Question (c)