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Q. 1. Calculate mean, median and mode from the following data relating to production of a steel mill on 60 days.
Production (in Tons per day) 21-22 23-24 25-26 27-28 29-30
Number of Days 7 13 22 10 8
2. In an automobile, the shaft (it converts translatory motion to rotatory motion) can fail either due to failure of bearing or failure of slider crankshaft mechanism. The probabilities of failure of bearing and crankshaft are 0.2 and 0.3, respectively, and the probabilities of failure of shaft due to failureof bearing and due to failure of crankshaft are 0.5 and 0.6, respectively. If the shaft has failed in an automobile, what are the probabilities that it failed due to either failure of bearing or crankshaft?
Q. 3. The marks obtained in Statistical Methods paper in MBA First Semester examination of a Management Institute, followed normal distribution with mean 75 and standard deviation 10. If 250 students appeared at the examination, estimate the number of students, scoring:
(i) Less than 70 marks,
(ii) More than 90 marks.
Q. 4. A manufacturer of LCD TV claims that it is becoming quite popular, and that about 5% homes are having LCD TV. However, a dealer of conventional TVs claims that the percentage of homes with LCD TV is less than 5%. A sample of 400 household is surveyed, and it is found that only 18 household have LCD TV. Test at 1% level of significance whether the claim of the company is tenable.
Q. 5. Define correlation & Regression? What is the difference between the two? Give examples of a situation, where you will use them.
Answer. Correlation makes no a priori assumption as to whether one variable is dependent...... As regression attempts to describe the dependence of a variable on one....... The word correlation is used in everyday life to denote some form of association. We might say that we have noticed a correlation between.....
MS-08 Solved Assignment IGNOU MBA
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Old Sample Answer
Q. Write a note on measures of central tendency.
Answer. Measures of central tendency are descriptive statistics that summarize the data with a single number that represents the most typical score within a set of data. We use measures of central tendency because we typically believe that most scores on a scale or responses to an item cluster around the typical or most common score or response in the data set. Consequently, a measure of central tendency is a convenient statistical tool for indicating the most typical score in a set of data. Selecting an appropriate measure of central tendency depends on the measurement scale used to represent a particular variable........... Measures of central tendency identify the middle or centre of a set of data. There are three types: Arithmetic average or mean – the total of items or scores in a set divided by the number of individual items in the set. It may give a distorted picture because of large items at either end of the scale. Median – the middle item in a range of items (often used in pay surveys when the arithmetic mean is likely to be distorted). Mode – the most commonly occurring item in a set of data......... The following are the few requirements to be satisfied by an average or a measure of central tendency: It should be rigidly defined The definition of an average should be clear and rigid so that there must be uniformity in its interpretation by different decision-makers or investigators. There should not be any chance for applying discretion; rather it should be defined by an algebraic formula.........