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QUESTION 1 a) The following data represents the age of 40 randomly selected OUM graduates in the seventh convocation. XXXXXXXXXX 27 XXXXXXXXXX 31 XXXXXXXXXX 44 XXXXXXXXXX 48 XXXXXXXXXX 39 Given that...

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QUESTION 1
a) The following data represents the age of 40 randomly selected OUM graduates in the seventh convocation.
XXXXXXXXXX 27
XXXXXXXXXX 31
XXXXXXXXXX 44
XXXXXXXXXX 48
XXXXXXXXXX 39
Given that the first class has a lower limit of 23 and a class width of 4.
  1. Prepare a frequency and relative frequency distribution table of the data.
  2. Construct a histogram of the data.
  3. Construct a cumulative frequency polygon of the type “”.
  4. Use your graph in iii) to estimate of the first, second and third quartiles.

b) The following are prices of tiger prawn (RM/kg) sold at two different markets for 9
consecutive days.
Market A 23 21 24 23 24 23 22 22 23
Market B 20 20 21 22 22 23 21 21 23

For both data set,
i. Calculate mean and standard deviation.
ii. Compare their data spread using the coefficient of variation.
QUESTION 2
The following data shows the weight (in kilogram) of 12 randomly selected bags of rice which are supposed to have a weight of 5 kilograms each.
XXXXXXXXXX XXXXXXXXXX00
XXXXXXXXXX XXXXXXXXXX00
a) Calculate the following:
i) Mean.
ii) Mode.
iii) Median.
iv) Variance.
v) Standard deviation.
b) State the type of distribution using location relationship.
QUESTION 3
a) Let .
  1. Obtain the partial fractions for.

b) Prove that the difference of the roots of a quadratic equation
is .
QUESTION 4
  1. Let. Obtain and hence verify that .
  2. Use a) to solve the system .
Answered Same Day Dec 22, 2021

Solution

Robert answered on Dec 22 2021
117 Votes
QUESTION 2
a)
i)
Mean ( )=



=



Mean: 5.0008 (Show in details step by step how get CV value)
ii)
Mode: The value that occu
ed highest number of times is
called mode. If two or more values have occu
ed highest
number of times then, all those values are modes.
As, 5.00 is repeated for highest number of times(4).
Mode : 5.00 (Show in details step by step how get CV value)
iii)
Median: To find median, first a
ange values in ascending
or descending...
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