Construct a continuous frequency distribution for the following heights (in cm) of 50
students in a class and draw its frequency polygon:
146 156 152 167 178 180 172 162 148
153 161 173 163 174 147 179 148 151
168 172 165 173 172 180 175 145 153
154 162 164 170 172 160 161 158 152
163 165 170 168 158 149 155 160 150
149 167 176 169 159
The continuous frequency distribution for the given information can be
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__________ _________.
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State whether the following statements are true or false. Give brief justification.
a) The number of samples of size 3 with replacement from a population of size 6 is 20.
b) If the odds in favour of an event A are 3 : 4, then the probability of occurrence of A
will be 4/7.
c) If the level of significance is the same, the area of the rejection region in a 2-tailed
test is less than that in a 1-tailed test.
d) There is no seasonal variation in an annual time series.
e) In a binomial distribution, if X represents the number of successes in 25 trials and the
probability of success at each trial is 0.5, then the standard deviation of X is 2.
A population of size 10000 is divided into 4 strata. Their sizes and standard
deviations are given below:
A stratified random sample of size 500 is to be drawn from this population.
Determine the sizes of samples from these strata, in case
i) Proportional allocation is used.
ii) Neyman’s optimum allocation is used.
A company appointed four salesman A, B, C and D and observed their sales in three
seasons – Summer, Winter and Monsoon. Test whether the average sales of the four
salesmen differ in amount (in Rs. Lakhs) as given below by one-way analysis of
variance (ANOVA) using observations after taking deviation from 30.
Construct a continuous frequency distribution for the following heights (in cm) of 50
students in a class and draw its frequency polygon:
146 156 152 167 178 180 172 162 148
153 161 173 163 174 147 179 148 151
168 172 165 173 172 180 175 145 153
154 162 164 170 172 160 161 158 152
163 165 170 168 158 149 155 160 150
149 167 176 169 159
Write three advantages and three limitations of systematic sampling
There are 1000 pages in a book out of which 100 pages are defective. What is the
probability that out of first 50 pages 10 pages will be defective?
An insurance company insured 1000 scooter drivers, 3000 car drivers and 6000 truck
drivers. The probabilities that the scooter, car and truck drivers meet with an
accident, are 0.02, 0.04 and 0.25, respectively. One of the insured driver meets with
an accident. What is the probability that he is a (i) car driver; (ii) truck driver?