S1 Mean past paper questions

Document of all the Mean past paper questions, S1, Edexcel

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  • Created on: 09-02-14 13:10
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2. Cotinine is a chemical that is made by the body from nicotine which is found in cigarette
smoke. A doctor tested the blood of 12 patients, who claimed to smoke a packet of
cigarettes a day, for cotinine. The results, in appropriate units, are shown below.
Patient A B C D E F G H I J K L
Cotinine 160 390 169 175 125 420 171 250 210 258 186 243
level, x
[You may use x 2
= 724 961 ]
(a) Find the mean and standard deviation of the level of cotinine in a patient's blood.
(4)
(b) Find the median, upper and lower quartiles of these data.
(3)
A doctor suspects that some of his patients have been smoking more than a packet of
cigarettes per day. He decides to use Q3+1.5(Q3­Q1) to determine if any of the cotinine
results are far enough away from the upper quartile to be outliers.
(c) Identify which patient(s) may have been smoking more than a packet of cigarettes a
day. Show your working clearly.
(4)
Research suggests that cotinine levels in the blood form a skewed distribution.
(Q1 - 2Q 2 + Q3 )
One measure of skewness is found using (Q3 - Q1 ) .
(d) Evaluate this measure and describe the skewness of these data.
(3)
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January 2011
a) Discrete data
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2. Keith records the amount of rainfall, in mm, at his school, each day for a week. The results
are given below.
2.8 5.6 2.3 9.4 0.0 0.5 1.8
Jenny then records the amount of rainfall, x mm, at the school each day for the following
21 days. The results for the 21 days are summarised below.
x = 84.6
(a) Calculate the mean amount of rainfall during the whole 28 days.…read more

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January 2011
b) Continous data
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5. On a randomly chosen day, each of the 32 students in a class recorded the time, t minutes
to the nearest minute, they spent on their homework. The data for the class is summarised
in the following table.
Time, t Number of students
10 ­ 19 2
20 ­ 29 4
30 ­ 39 8
40 ­ 49 11
50 ­ 69 5
70 ­ 79 2
(a) Use interpolation to estimate the value of the median.…read more

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January 2013
b)Continous data
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5.
Frequency
density
0 5 10 15 20 25 30 35 40 45 50
Speed of car
Figure 2
A policeman records the speed of the traffic on a busy road with a 30 mph speed limit.
He records the speeds of a sample of 450 cars. The histogram in Figure 2 represents the
results.
(a) Calculate the number of cars that were exceeding the speed limit by at least 5 mph in
the sample.…read more

Comments

daviesg

A good set of exam questions on mean and variance (also reading from a histogram)

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