EXAMSHARE

Western Delta University, Oghara Delta State

department of economics
college of social and management sciences
western delta university

first semester examination 2023/2024 session

ECO205 - Statistics I time: 2hrs

Answer any three (3) questions

  1. Question 1

    1. The following table gives life length of 200 light bulbs manufactured by a company. Determine the mode for the data.
      Life in weeks0-55-1010-1515-2020-2525-3030-35
      Number of light bulbs51357852686
      (12 marks)
    2. The following table shows the age distribution of persons in a particular region
      Age (Years)Below 10Below 20Below 30Below 40Below 50Below 60Below 7070 and above
      Number of persons (in '000)25912141515.515.6
      Find the median age. (12 marks)

  2. Question 2

    1. Prepare a frequency distribution or table from the set of data below: 2, 3, 9, 4, 1, 7, 4, 5, 4, 1, 4, 1, 4, 1, 4, 1, 7, 1, 6, 5, 1, 4, 3, 5, 3, 1, 7, 2, 4, 4, 2, 6, 2, 3, 7, 2, 3, 1, 5. (8.33 marks)
    2. Form a frequency distribution from the following data by inclusive method, taking 4 as the magnitude of class internals: 10, 17, 15, 22, 11, 16, 19, 24, 29, 18, 25, 26, 32, 14, 17, 20, 23, 27, 30, 12, 15, 18, 24, 36, 18, 15, 21, 28, 33, 38, 34, 13, 10, 16, 20, 22, 29, 19, 23, 31. (13 marks)

  3. Question 3

    1. The following is the frequency distribution of the number of telephone calls received in 245 successive one minute intervals at an exchage:
      Number of calls01234567
      Frequency1421254351403912
      Question: Obtain the Mean number of calls per minute. (9 marks)
    2. Calculate the mean for the following frequency distribution
      Marks0-1010-2020-3030-4040-5050-6060-70
      No. of students65815763
      (a) By the direct formula (b) By the step deviation method. (14 marks)

  4. Question 4

    1. The following table gives the frequency distribution of the weekly wages (N'00) of 100 workers in a factory.
      Weekly wages20-2425-2930-3435-3940-4445-4950-5455-5960-64
      No. of workers4512233110852
      Draw the histogram and frequency polygon of the distribution. Hint: Convert to a continuous class intervals. (13 marks)
    2. The set of data below shows the number of male children in a sample of Nigerian families: 0, 4, 2, 3, 3, 0, 1, 4, 3, 5, 5, 3, 4, 3, 1, 3, 5, 5, 5, 0, 0, 5, 3, 3. Convert the above set of data into frequency and relative frequency distribution tables. (10 marks)

  5. Question 5

    1. Distinguish between class intervals and class limits. (4 marks)
    2. Outline the types of class intervals you know. (6 marks)
    3. Explain the requisites of a measure of central tendency. (13 marks)