NO. 1 week1-week4 Student Full Name:___________________________________ . Student ID:__________________________________________ . CRN No:____________________________________________ . Branch: _____________________________________________. STATISTICS (STAT-101) Total Points True/False ____/6 MCQ ____/6 Short Answer ____/18 Total ____/30 Day: Monday Date: 10.10. 2016 STATISTICS (STAT-101) Marks- 30 Answer all the Questions on the same question paper. Section-I State whether the following statements are True or False. (6 marks, 1 Mark Each) 1. The outliers are the values that lie very far away from the vast majority of the other values. 2. Systematic Sampling is sampling in which data is obtained by selecting every kth object. 3. If the mode median mean, the distribution will be symmetric. 4. The value of the mean is not affected by one or more outliers. 5. The second quartile value is equal to the median. 6. A scatter diagram is a convenient way to display graphically the relationship between two variables. Section-II (Multiple Choice Questions) (6 marks, 1 Mark Each) 1. Statistics is the science of a) Planning studies and experiments b) Interpreting the data c) Drawing conclusion on the basis of data d) All the above 2. The relative frequency of a class is computed by a) Dividing the midpoint of the class by the sample size. b) Dividing the frequency of the class by the midpoint. c) Dividing the sample size by the frequency of the class. d) Dividing the frequency of the class by the sample size. Page 2 of 5 3. The difference between two consecutive lower class limit (or two consecutive lower class boundaries) in a frequency distribution is called a) Class boundary b) Class mid-point c) Class width d) None 4. A distribution of data that is the left half of its histogram is roughly a mirror image of its right half called a) Left skewed b) Right skewed c) Symmetric d) None 5. The standard deviation for the sample of data: 22, 26, 22 and 24 is a) 1.915 b) 1.942 c) 1.987 d) 2.011 6. The three quartiles are 1 = 13.0, 2 = 14.0 and 3 = 15.5, the inter quartile range a) 0.5 b) 1.0 c) 1.5 d) 2.5 Page 3 of 5 Section -III Answer the following Essay Type Questions (18 marks, 3 Mark Each) 1. The marks of a sample of 20 in a statistics test that had a maximum possible marks 100 are given below: 96, 90, 82, 40, 47, 49, 55, 56, 65, 66, 66, 71, 73, 75, 75, 78, 75, 78, 80, 81 Find the mean, mode, median and variance. 2. Construct the frequency distribution and cumulative relative frequency table for the following data with 6 classes: 60, 90, 76, 81, 59, 40, 48, 61, 57, 78, 86, 65, 63, 54, 68, 93, 71, 78, 79, 67, 75, 87, 76, 74, 86, 57, 62, 95, 80, 70. 3. Calculate the arithmetic mean of the marks from the following table: Marks No. of students 0 - 10 12 10- 20 18 20- 30 27 30- 40 20 40- 50 17 50- 60 16 4. Construct a stem-and Leaf of the following data; 73, 81, 75, 71, 75, 65, 78, 40, 66, 80, 90, 82, 75, 55, 66. 44, 33, 12, 27, 42. 5. An analysis of monthly wages paid to the worker in two firm A and B belong to the Same industry gives the following results: Firm A Firm B Number of workers 500 600 Average monthly wage SR. 186.00 SR. 175.00 Variance of distribution of wages 81 100 In which firm, A or B is there greater variability in individual wages? 6. Construct histogram of the following frequency table Page 4 of 5 Frequency Tables Hours of Sleep Frequency 3 - 4 hrs 1 4 - 5 hrs 3 5 - 6 hrs 6 6 - 7 hrs 14 7 - 8 hrs 16 8 - 9 hrs 5 9 - 10 hrs 3 10 - 11 hrs 2 Page 5 of 5