##### Case Study 1

Therefore, she wanted to know more about her course mates. Obviously it was difficult to contact all the students from her batch and know about them. So she decides to collect a randomly selected data from about 25-30 students. She was not sure about random collection of data. So she learnt about random number generator and used student roll numbers to select the random sample. With the help of faculty she prepared questionnaire and collected data.

From the data she prepared report for submission. It was quite nice and elaborate. However, when she compared it with friends, she found lot of variation. So she decided to take information from her two friends who had also collected the similar data.

### Best services for writing your paper according to Trustpilot

From \$18.00 per page
4,8 / 5
4,80
Writers Experience
4,80
Delivery
4,90
Support
4,70
Price
Recommended Service
From \$13.90 per page
4,6 / 5
4,70
Writers Experience
4,70
Delivery
4,60
Support
4,60
Price
From \$20.00 per page
4,5 / 5
4,80
Writers Experience
4,50
Delivery
4,40
Support
4,10
Price
* All Partners were chosen among 50+ writing services by our Customer Satisfaction Team

Of course she has to take some precautions while using the data from the friends. a) b) c) d) e) f) g) h) Collect the data. Draw Simple Bar Diagram to represent specialization wise strength of students. Draw Pie diagram to represent the number of students in each of the blood groups. Prepare the gender-wise frequency table for the blood groups. Plot graph of height Vs. weight of the students.

Comment on the graph. Plot graph of family income Vs. expenditure of the student. Comment on the graph. Calculate gender-wise mean and standard deviation of marks of 10th and 12th standard. Comment on the basis of the results. Prepare a two way table showing age-wise and gender-wise strength of students.

Represent this data with the help of a multiple bar diagram taking age on X axis and gender-wise strength on Y axis. Also comment on the basis of this graph. Prepare a two way table showing father’s education and mother’s education taking education categories as Below Graduate, Graduate and Post graduate. Comment on the basis of this table. Calculate mean and standard deviation of marks obtained by the students in 10th and 12th standard according to having a job experience or not. Comment on the values you obtained.

You are free to do additional analysis if you feel so. i) j) k) Note: Sample questionnaire is attached. However, please feel free to add few question based on your purpose.

Subject: Statistics & Research Methodology (103) Case 2: Better to be roughly right than precisely wrong After joining the institute, Mr. ABC was pondering over whether he has made a right decision of joining this institute. Infrastructure was good, he could see that.

Faculty was excellent; he could experience that in last three weeks. But what he was not sure about the academic proficiency of the students of his batch. He had observed that few of them were very good, participating in discussions, taking initiative for learning, helping others to learn different subjects.However, there were others who were hardly participating, shy and not sure about the learning process. So Mr. ABC decides to check past academic performance of the students from his batch. Since the graduation background of students was different and some of them had also not got their graduation results, he decided to take 10th and 12th standard percentage of marks as a basis for his study.

a) Collect 10th and 12th standard percentage of marks from 30 students randomly. b) Based on data collected find mean, median, standard deviation for both the data sets (10th marks & 12th marks) using MS Excel. (Take help of faculty/friends). c) From the mean of your sample, estimate average percentage of 10th and 12th of your entire batch. ) Prepare two frequency distribution tables separately (10th & 12th std) for the marks of 30 students taking classes as 40-45, 45-50,… e) Draw graphs by taking classes on X-axis and frequency on Y-axis.

Comment on the basis of the graphs. f) Collect the sample means (sample of 30) from your 10 friends. Comment on the observations. g) Find the grand mean for entire batch from population data. h) Prepare two frequency distribution tables separately (10th & 12th std) for the marks of entire batch. i) What have you learnt from your observations? Comment. j) Analyze as to where you stand according academic performance of the entire batch. Note: To save you from collecting sample data, we have collected population data.

No fudging please!! [Type text] Data for case 2 Sr. No. 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 SSC% 71. 4 74. 2 62. 8 63.

4 71. 6 63. 8 78. 9 70. 6 83.

5 82. 0 82. 6 75. 5 61. 8 65. 2 67.

9 82. 8 76. 8 66. 8 69. 3 65. 2 65. 6 69. 4 78.

2 69. 3 71. 4 80. 6 68.

0 55. 7 89. 1 64. 2 59. 2 65. 0 51. 8 77. 4 HSC% 67.

7 72. 2 56. 0 61. 8 48. 3 61. 0 74. 5 65.

8 70. 8 75. 2 88.

6 63. 0 63. 7 60.

8 61. 7 77. 6 77. 5 69. 1 47. 3 42. 2 58.

9 64. 8 72. 4 82. 5 62. 9 75.

0 85. 6 47. 2 82.

4 62. 2 72. 0 58. 7 60. 2 68. 8 Sr. No.

35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 SSC% 79. 4 67. 8 62. 4 74. 6 81. 7 65.

0 85. 8 61. 4 45.

0 63. 0 58. 0 73. 8 82. 2 84. 2 55.

4 52. 2 77. 2 83. 8 54. 6 81. 66. 0 79. 6 60.

8 89. 6 66. 0 86. 9 57.

8 65. 1 88. 8 51. 9 73. 8 63. 2 73. 6 76.

2 HSC% 68. 8 60. 0 60.

0 56. 7 57. 2 58. 4 68. 0 51.

6 47. 4 71. 2 61. 8 58. 0 79.

4 67. 0 65. 5 45. 8 83. 2 64. 4 62. 7 79. 6 61.

6 67. 0 64. 8 83.

7 58. 2 63. 6 70.

0 54. 8 81. 8 65. 0 85. 7 66. 0 72. 7 78. 6 Sr.

No. 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 SSC% 73. 4 56.

0 68. 7 69. 6 64. 2 59. 2 72. 9 70. 5 50.

4 80. 2 68. 9 66. 6 72. 0 68. 8 53. 5 51. 4 79.

6 54. 6 70. 1 73. 8 79. 2 61. 1 62. 0 53. 0 80.

2 60. 4 58. 1 84. 7 69.

2 66. 2 60. 4 80. 0 67. 6 64.

4 HSC% 69. 8 68. 5 65. 3 67. 8 55. 8 70. 62.

2 76. 6 46. 0 71. 2 67.

8 71. 1 55. 8 80.

0 61. 6 67. 4 60. 0 70. 0 74. 6 68. 0 50.

8 64. 4 58. 4 71. 8 71.

8 51. 2 62. 7 74.

2 58. 0 74. 6 58. 4 83. 8 63. 2 77. 0 [Type text] Sr.

No. 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 SSC% 83. 0 48. 3 59. 2 89. 7 88. 2 83.

1 45. 8 62. 0 61. 5 52. 2 62. 5 67.

2 83. 7 72. 5 67.

4 81. 3 75. 0 76. 5 74. 8 57. 8 55. 2 76.

0 46. 5 75. 8 60. 0 48. 6 89. 4 85. 4 70. 6 67.

4 60. 8 77. 4 49. 2 62. 0 HSC% 72. 8 64. 8 56.

0 70. 3 71. 8 65. 0 71. 2 50. 2 56. 6 52.

5 66. 5 71. 8 67. 3 76. 7 64.

6 74. 4 69. 8 76. 4 64. 75.

8 55. 1 66. 8 62. 8 74. 2 56.

0 55. 8 84. 9 74. 2 57. 0 65. 8 46.

8 77. 0 60. 0 71. 6 Sr. No.

137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 SSC% 66. 7 69. 3 73. 9 67. 4 84. 7 63. 6 75.

1 59. 1 65. 7 65.

3 70. 2 77. 0 51.

6 71. 1 77. 2 66.

8 61. 8 62. 0 61. 7 60. 8 65. 2 84. 0 63. 8 76.

9 72. 8 70. 6 59. 0 61. 5 72. 4 83.

7 76. 0 61. 4 65. 6 79. 3 HSC% 52. 3 62. 8 68.

8 70. 9 81. 0 63.

4 76. 0 76. 3 78. 0 47. 0 69. 8 57.

8 64. 2 65. 7 60. 4 48. 2 60. 0 66. 6 55.

7 74. 0 55. 3 66.

5 80. 2 55. 5 67. 4 68. 2 63. 0 61.

5 52. 8 86. 0 67. 8 58. 4 56. 0 71. 8Sr.

No. 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 SSC% 69. 2 81. 8 87.

4 78. 2 70. 2 80.

6 70. 8 54. 0 57. 6 55.

2 71. 5 65. 4 85. 2 57. 0 83. 7 75. 7 73. 5 75.

1 76. 9 71. 4 62. 7 87. 5 63. 7 59. 2 80. 6 45.

5 72. 0 59. 8 80. 3 62.

6 76. 6 78. 0 81. 7 73. 7 HSC% 54. 2 63. 4 84. 0 77.

3 57. 0 74. 2 74. 5 53. 5 65. 0 59. 4 65.

7 73. 8 65. 2 63. 0 67. 8 73.

5 60. 8 67. 8 65. 3 71. 6 71. 4 59. 2 69.

9 36. 6 69. 8 59. 8 77.

3 56. 7 79. 7 64. 3 75. 7 69. 8 64.

5 60. 2 [Type text] Sr. No. 205 206 207 208 209 210 211 212 213 214 215 216 SSC% 80.

5 75. 4 56. 56.

6 54. 0 44. 6 70. 5 68.

2 45. 8 77. 9 66. 9 74. 3 HSC% 73. 2 69.

5 61. 7 48. 8 45.

4 45. 4 71. 0 60. 0 63.

0 72. 3 68. 5 71. 1 Sr.

No. 217 218 219 220 221 222 223 224 225 226 227 228 SSC% 79. 1 52. 0 85. 2 51. 4 60.

6 86. 9 56. 6 87. 0 60. 7 81. 2 72. 4 79. 4 HSC% 69.

2 63. 4 79. 2 52.

2 65. 2 75. 2 63. 9 82. 8 65. 5 56.

2 83. 5 63. 3 Sr. No. 229 230 231 232 233 234 235 236 237 238 239 240 SSC% 65. 0 59.

6 83. 2 56. 0 56. 6 74. 4 77.