Question to answer in English language

You're on a roll — Here are the solutions to the questions: 2. Find the range and coefficient of range from the following data. Data: 15, 20, 18, 12, 20, 28, 25 Step 1: Arrange the data in ascending order. 12, 15, 18, 20, 20, 25, 28 Step 2: Identify the minimum and maximum values. Minimum value (Min) = 12 Maximum value (Max) = 28 Step 3: Calculate the Range. Range = Max - Min Range = 28 - 12 Range = 16 Step 4: Calculate the Coefficient of Range. Coefficient\ of\ Range = (Max - Min)/(Max + Min) Coefficient\ of\ Range = (28 - 12)/(28 + 12) Coefficient\ of\ Range = (16)/(40) Coefficient\ of\ Range = 0.4 The range is 16 and the coefficient of range is 0.4. --- 3. Find the mode of the following frequency distribution: | Variable | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | |-----------|--------|---------|---------|---------|---------| | Frequency | 4 | 13 | 16 | 12 | 5 | Step 1: Identify the modal class. The modal class is the class with the highest frequency. Here, the highest frequency is 16, which corresponds to the class 20 - 30. Step 2: Identify the values for the mode formula. • Lower limit of the modal class (L) = 20 • Frequency of the modal class (f_m) = 16 • Frequency of the class preceding the modal class (f_1) = 13 • Frequency of the class succeeding the modal class (f_2) = 12 • Class width (h) = 30 - 20 = 10 Step 3: Apply the mode formula for grouped data. Mode = L + ((f_m - f_1)/(2f_m - f_1 - f_2)) × h Mode = 20 + ((16 - 13)/(2(16) - 13 - 12)) × 10 Mode = 20 + ((3)/(32 - 13 - 12)) × 10 Mode = 20 + ((3)/(7)) × 10 Mode = 20 + (30)/(7) Mode = 20 + 4.2857 Mode ≈ 24.29 The mode of the frequency distribution is 24.29. --- 4. Define primary and secondary data and What are the methods of collecting primary data? Primary Data: This refers to data collected directly from the original source for a specific research purpose. It is raw, first-hand information that has not been previously published or analyzed. Secondary Data: This refers to data that has already been collected by someone else and is available for use. It is second-hand information that has been processed, analyzed, or published previously. Methods of collecting primary data: • Direct Personal Investigation: The investigator collects data by directly interacting with the respondents. • Indirect Oral Investigation: Data is collected by interviewing third parties who have knowledge about the subject of inquiry. • Information through Local Correspondents: Local agents or correspondents are appointed in different areas to collect and transmit information. • Mailed Questionnaire Method: Questionnaires are sent to respondents via mail, who fill them out and return them. • Schedules sent through Enumerators: Trained enumerators visit respondents with a questionnaire (schedule) and fill it out themselves by asking questions. • Observation Method: Data is collected by observing the behavior or phenomena directly without direct interaction. • Experimentation Method: Data is collected through controlled experiments to study cause-and-effect relationships. --- 5. The mean of a set of 100 observations were found to be 50. On checking, it was found that two observations were wrongly taken as 32 and 15 instead of 82 and 51. Calculate the correct mean. Step 1: Calculate the incorrect sum of observations. Given: Number of observations (N) = 100, Incorrect Mean = 50 Incorrect\ Sum = Incorrect\ Mean × N Incorrect\ Sum = 50 × 100 = 5000 Step 2: Identify the wrong and correct values. Wrong values = 32 and 15 Correct values = 82 and 51 Step 3: Calculate the correct sum of observations. Correct\ Sum = Incorrect\ Sum - (Sum\ of\ wrong\ values) + (Sum\ of\ correct\ values) Correct\ Sum = 5000 - (32 + 15) + (82 + 51) Correct\ Sum = 5000 - 47 + 133 Correct\ Sum = 4953 + 133 Correct\ Sum = 5086 Step 4: Calculate the correct mean. Correct\ Mean = (Correct\ Sum)/(N) Correct\ Mean = (5086)/(100) Correct\ Mean = 50.86 The correct mean is 50.86. --- **6. Seven methods of imparting business education were ranked by the BBS students of two campuses