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Math 00322: Statistics Question Paper
Math 00322: Statistics
Course:Certificate In Animal Health And Production
Institution: Chuka University question papers
Exam Year:2013
CHUKA
UNIVERSITY
UNIVERSITY EXAMINATIONS
FIRST YEAR EXAMINATIONS FOR THE AWARD OF CERTIFICATE IN ANIMAL HEALTH AND PRODUCTION
MATH 00322: STATISTICS
STREAMS: CERT (ANHP) YIS2 TIME: 2 HOURS
DAY/DATE: THURSDAY 25/4/2013 2.30 PM – 4.30 PM
INSTRUCTIONS:
Answer question ONE and any other TWO
Adhere to the instructions on the answer booklet
Do not write on the question paper.
QUESTION ONE (COMPULSORY) -30 MARKS
(a) Distinguish the following statistical terms.
(i) Census and sample survey
(ii) Continuous variable and discrete variable
(iii) Primary source and secondary source of obtaining data
(iv) Class limits and class boundaries
(v) Descriptive statistics and inference statistics. [10 Marks]
(b) The following are weights in (kgs) recorded for 50 pigs during last years Embu Annual ASK show.
160 155 178 90 101 105 124 118 126 176
135 157 134 99 112 115 104 108 128 159
175 147 129 117 128 151 140 169 120 165
98 107 119 93 170 144 154 164 174 160
95 105 113 123 138 168 172 149 179 97
Arrange the above data in a frequency distribution table with tally weights consisting of 9 class intervals. Hence draw up the cumulative frequency table (less than) for the data.
[5 Marks]
(c) (i) Give three advantages of diagrammatic representation of statistical data over
tabular presentation [3 Marks]
(ii) Name any three different types of diagrams commonly used in representation of
data. [3 Marks]
(d) Calculate the mean absolute deviation of the following data set.
12,18,20,10,36 hence find its standard deviation. [5 Marks]
(e) The following table gives details of prices and quantities sold for two particular items in a department store over the last two years.
2011 2012
Item Price (UsD) No. sold Price (UsD No. sold
P 348 42 450 25
Q 280 36 340 45
Calculate the price and quantity relatives for each item. [4 Marks]
QUESTION TWO (20 MARKS)
(a) Outline the uses of statistics in each of the following:
(i) Government
(ii) Business / Industry
(iii) Science and Research. [10 Marks]
(b) The table below gives the ages of drivers of cars used in the Ministry of Agriculture during the Narc Government.
Age of drivers Under 20 20 - 40 40 - 60 Over 60
Percent of totals 15 60 20 5
Represent the above information on a pie-chart. [4 Marks]
(c) Draw a cumulative frequency curve (Ogive) form below for the following frequency distribution.
Income (£) 200-209 210-219 220-229 230-239 240-249 250-259
No. of workers 10 20 22 20 25 3
Hence determine the median from the Ogive. [6 Marks]
QUESTION THREE (20 MARKS)
(a) Three representatives are to be selected randomly from a group of 7 girls and 8 boys. Calculate the probability of selecting,
(i) All the three being girls [3 Marks]
(ii) Two girls and one boy [4 Marks]
(iii) Atmost two boys. [5 Marks]
(b) In a livestock research station a new drug for foot and mouth disease is being treated. A sample of 42 calves were diagnosed to have the disease. Eighteen (18) calves were treated with the drug and the rest were not.
(I) Calculate the probability that a calf picked at random is;
(i) Treated with the drug [1 Mark]
(ii) Not treated with the drug [1 Mark]
(II) If a calf is treated, the probability of dying is 1/8 while if not treated the probability is 3/10. Calculate the probability that a calf picked at random from the 42 calves is.
(i) Treated with the drug and will die. [2 Marks]
(ii) Not treated with the drug and will die. [2 Marks]
(iii) Not treated with the drug and will not die. [2 Marks]
QUESTION FOUR (20 MARKS)
(a) Distinguish moving averages and index numbers. Give the important of each of this.
[4 Marks]
(b) The data below shows the milk production of a farmer (in litres) over a given year.
Month J F M A M J J A S O N D
Amount of milk (in litres)
150 120 170 200 160 110 120 90 130 160 200 300
(i) Calculate a moving average of order 5. [3 Marks]
(ii) Plot the original data on the moving averages on the same graph. [3 Marks.
(c) The following data relates to a set of items purchased in a processing firm.
Base Year Current Year
Item Price (usD Quantity Price (usD) Quantity
A 50 6 56 10
B 100 4 120 6
C 60 12 65 8
D 40 8 22 11
(i) Calculate both the Laspeyres and Paasche price and quantity Indices.
[8 Marks]
(ii) List any two limitations of index numbers. [2 Marks]
QUESTION FIVE (20 MARKS]
(a) State five characteristics of a good statistical measure of central tendency. [5 Marks]
(b) What purpose does a measure of dispersion serve? What are the different measures of dispersion? [4 Marks]
(d) The following table gives the frequency distribution of yearly turnover in (£, 000) by 100 firms in a country.
Turnover in (£, 000) 50-100 100-150 150-200 200-250 250-300 300-350 350-400
No. of firms 11 10 9 12 18 23 17
From the above distribution, Calculate
(i) The mean [3 Marks]
(ii) The mode [3 Marks]
(iii) The coefficient of variation. [5 Marks]
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