Statistics and Probability

Details

#### 1 Define data. How are they collected? What are the various types of data available for statistical

Question Define data. How are they collected? What are the various types of data available for statistical analysis? 2013

#### 2 What is frequency distribution? The daily wages (Taka) of 40workers are given below :-

Question What is frequency distribution? The daily wages (Taka) of 40workers are given below :-88 204 108 68 101 129 119 149 210103 96 104 146' 127 97 89 123 10894 149 93 118 136 187 102 191 148163 172 93 . 104 132 131 142 92 87144(i) Construct a continuous frequency distribution;(ii) Draw Histogram and Relative frequency polygon. 2013

#### 3 What is frequency curve? Explain different types of frequency curves.

Question What is frequency curve? Explain different types of frequency curves. 2013

#### 4 State the situation to use the measure of central tendency.

Question State the situation to use the measure of central tendency. 2013

#### 5 From the following data find out the missing frequency when mean is 22 :-Central value : 1

Question From the following data find out the missing frequency when mean is 22 :-Central value : 10 15 20 25 30Frequency : 5 10 15 ? 5 2013

#### 6 The average monthly income of male employees in a firm is Tk. 1,000 and that of female is Tk. 800

Question The average monthly income of male employees in a firm is Tk. 1,000 and that of female is Tk. 800. But the mean income of all the employees is 920. Find the percentage of male and female employees. 2013

#### 7 What is statistical average? Mention different types of averages. State the characteristics of ar

Question What is statistical average? Mention different types of averages. State the characteristics of arithmetic mean. 2013

#### 8 Differentiate between standard deviation and co-efficient of variation.

Question Differentiate between standard deviation and co-efficient of variation. 2013

#### 9 Why standard deviation is considered to be the best measure?

Question Why standard deviation is considered to be the best measure?

#### 10 Why standard deviation is considered to be the best measure? State the some uses of standard devi

Question Why standard deviation is considered to be the best measure? State the some uses of standard deviation. 2013

#### 11 Find the mean deviation and standard deviation of the following data :-

Question Find the mean deviation and standard deviation of the following data :-Monthly income (in thousand) Tk. No. of families 5 - 9 15 10 - 14 30 15 - 19 55 20 - 24 17 25 - 29 10 30 - 34 3 2013

#### 12 Write the difference between correlation co-efficient and regression co-efficient.

Question Write the difference between correlation co-efficient and regression co-efficient. 2013

#### 13 Prove that the unit of correlation co-efficient is -1 to +1

Question Prove that the unit of correlation co-efficient is -1 to +1 2013

#### 14 What is least square method? How you calculate the regression parameters with the help of least s

Question What is least square method? How you calculate the regression parameters with the help of least square method? 2013

#### 15 The following figures relate to the advertisement expenditure (X) (in lakh taka) sales (Y) (in cr

Question The following figures relate to the advertisement expenditure (X) (in lakh taka) sales (Y) (in crores taka) :-(i) Find correlation co-efficient;(ii) Find regression equation X on Y.X5561606448626663Y1215141813162021 2013

#### 16 Let X and Y have the following distribution f(x,y) = 2(x + y - 2xy) for 0 &lt; x &lt; 1, 0 &lt; y

Question Let X and Y have the following distribution f(x,y) = 2(x + y - 2xy) for 0 < x < 1, 0 < y < 1 . Find E (X), E (X + Y), E (XY). 2013 