text: StudentShare solutions
  
  # Question #1 - Essay Example
  
  ## Extract of sampleQuestion #1
  
  For these variables, almost all random variables correspond to the measures of tendency.
  However, in B5 it should be noted that the measures of central tendency are far from each other. In fact, there exist two modes for the variable. Also since the mean and the median are calculated and are not in the sample, the chance of picking a random variable which is the same as these two measures is zero.
  If the data is significantly skewed, the mean becomes an inappropriate measure of central tendency. It should be noted that the mean will be more likely to be found on the dataset where the skewness can be found. For example, a data set which ranges from 7-40 which is positively skewed can have a mean which is 15 only because most of the data range from 7-18 for instance. The presence of outliers which are extremely low or high data can also adversely affect the effectiveness of the mean as a measure of central tendency.
  If data is significantly skewed, the mode becomes the best approximation of the data's center. Mean cannot be relied upon because of the presence of outliers while median can also be misleading. Thus, mode which represents the most number of variable can be best represent the data's center at this situation.
  If the data is significantly skewed, the range will not be affected. ...
  PART 2.
  
  a. Determine the range, sample standard deviation , and IQR for each of these random variables: D1, D5, D6, D7, SBC1, SBC8, B5.
  
  Critical thinking:
  
  b. How would the range, sample standard deviation , and IQR be affected when data is significantly skewed
  
  If the data is significantly skewed, the range will not be affected. It should be noted that as the range is only a measure of the dispersion of data, it does not indicate how the data looks like. The range is simply a measurement of the values within the data set. However, it should also be noted that the presence of outliers in the data set will make the range very high.
  A symmetrical data is expected to have a skewness of 0 because the standard deviation is zero. Thus, when the standard deviation of a data set is computed as zero, it follows that it is normally distributed.
  The interquartile range is affected by the dispersion of the data set. It should be noted that as it looks at the 50% of the data set, the gap between the 3rd and the 1st quartile cannot fully indicate the dispersion because of the presence of observations which are in the lowest or highest quartiles. However, it is effective in removing the possibility of being misled by the presence of outliers.
  
  c. If data is significantly skewed, what measure would be the best approximation of the data's dispersion
  
  If the data is significantly skewed, the interquartile range serves as the best measure of dispersion. It should be noted that the interquartile range measures the dispersion by looking at the 50% of the observation. It removes the possibility of having misleading measures of central tendency by capturing the middle of the data and leaving the outliers behind. This is in contrast with range which is ...Show more
  
  ## Summary
  
  The Mean, Median and Mode are the three widely used (and misused) measures of the data's center. Each measure has its own purpose for describing the dataset. Refer to Lind, Ch 3, pp. 57-60, 62-65, 66-68 (Note: Chart 3-4 has mean and mode labels switched.)
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explanation: The document is an extract from a student's essay that discusses statistical measures of central tendency and dispersion, such as mean, median, mode, range, standard deviation, and interquartile range (IQR). It also addresses the impact of skewed data on these measures. The extract contains a question and a series of answers to related sub-questions.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
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distilabel_metadata.content: StudentShare solutions
  
  # Question #1 - Essay Example
  
  ## Extract of sampleQuestion #1
  
  For these variables, almost all random variables correspond to the measures of tendency.
  However, in B5 it should be noted that the measures of central tendency are far from each other. In fact, there exist two modes for the variable. Also since the mean and the median are calculated and are not in the sample, the chance of picking a random variable which is the same as these two measures is zero.
  If the data is significantly skewed, the mean becomes an inappropriate measure of central tendency. It should be noted that the mean will be more likely to be found on the dataset where the skewness can be found. For example, a data set which ranges from 7-40 which is positively skewed can have a mean which is 15 only because most of the data range from 7-18 for instance. The presence of outliers which are extremely low or high data can also adversely affect the effectiveness of the mean as a measure of central tendency.
  If data is significantly skewed, the mode becomes the best approximation of the data's center. Mean cannot be relied upon because of the presence of outliers while median can also be misleading. Thus, mode which represents the most number of variable can be best represent the data's center at this situation.
  If the data is significantly skewed, the range will not be affected. ...
  PART 2.
  
  a. Determine the range, sample standard deviation , and IQR for each of these random variables: D1, D5, D6, D7, SBC1, SBC8, B5.
  
  Critical thinking:
  
  b. How would the range, sample standard deviation , and IQR be affected when data is significantly skewed
  
  If the data is significantly skewed, the range will not be affected. It should be noted that as the range is only a measure of the dispersion of data, it does not indicate how the data looks like. The range is simply a measurement of the values within the data set. However, it should also be noted that the presence of outliers in the data set will make the range very high.
  A symmetrical data is expected to have a skewness of 0 because the standard deviation is zero. Thus, when the standard deviation of a data set is computed as zero, it follows that it is normally distributed.
  The interquartile range is affected by the dispersion of the data set. It should be noted that as it looks at the 50% of the data set, the gap between the 3rd and the 1st quartile cannot fully indicate the dispersion because of the presence of observations which are in the lowest or highest quartiles. However, it is effective in removing the possibility of being misled by the presence of outliers.
  
  c. If data is significantly skewed, what measure would be the best approximation of the data's dispersion
  
  If the data is significantly skewed, the interquartile range serves as the best measure of dispersion. It should be noted that the interquartile range measures the dispersion by looking at the 50% of the observation. It removes the possibility of having misleading measures of central tendency by capturing the middle of the data and leaving the outliers behind. This is in contrast with range which is ...Show more
  
  ## Summary
  
  The Mean, Median and Mode are the three widely used (and misused) measures of the data's center. Each measure has its own purpose for describing the dataset. Refer to Lind, Ch 3, pp. 57-60, 62-65, 66-68 (Note: Chart 3-4 has mean and mode labels switched.)
  Author : carrollmyrtle
  Save Your Time for More Important Things
  Let us write or edit the essay on your topic
  "Question #1"
  with a personal 20% discount.
  Grab the best paper
  
  ### Check these samples - they also fit your topic
  
  Piped distribution services question 1-4
  5/F to 35/F: Office floors (6 tenant offices per floor) R/F: Landscape areas and some plant rooms Area per each floor: approx. 600 m2 Question 1 If you were working in the company in the capacity of Mechanical Engineer and in charge of Plumbing and Fire Services, please complete the following tasks:- 1.1) Identify client and building requirements for mechanical distribution services, fire fighting services and fire protection services.
  10 pages (2500 words) Essay
  Question 1
  Bert hired Charlie’s Electrics to do the work and the job was completed before the party. Bert knew that there had been parties at the first flat previously where guests are not to get onto the roof, which Alice forgot to do. On the night of the party, Delia, one of the guests, was electrocuted when she tried to turn on the kitchen light.
  3 pages (750 words) Essay
  Dwelling on one's own concerns can inhibit the ability to listen actively, and respond appropriately to the needs of the client. But it is difficult to put aside issues that are unresolved; or those that are not consciously known. A counsellor who has managed to resolve the issues that have occurred as a consequence of his or her life experiences and development is also a counsellor who is able to actively listen, and respond to a the needs of a client in a more honest and in depth manner.
  6 pages (1500 words) Essay
  In the modern world of business, there is a high call for businesses to observe some degree of morality. As a result, many countries impose strict ethical policies to be followed by businesses operating in that country. These calls for them to formulate operating standards that determine and ensure ethical codes are observed.
  10 pages (2500 words) Essay
  PhD - comprehensive exam - rewrite - question 1
  The availability of efficient and reliable infrastructure is one of the most essential requirements for sustainable development and economic growth of any country. In some countries, such as the United States, Great Britain, Japan and others the potential
  11 pages (2750 words) Essay
  Question 1
  Bert hired Charlie’s Electrics to do the work and the job was completed before the party. On the night of the party, Delia, one of the guests, was electrocuted when she tried to turn on the kitchen light. The electrocution was caused by faulty wiring. Edward, also a
  3 pages (750 words) Essay
  INTRODUCTION TO PHILOSOPHY,unit 4, question #1,
  There have been many great philosophers throughout history, and Aristotle is among the most influential. In fact, Aristotle’s is known as the commonsense philosopher due to the emphasis he places on moral responsibility. In discussing Aristotle’s
  2 pages (500 words) Essay
  Question 1
  The constitution does not entail an express injunction to strictly divide the three powers, but grants them with the authority to
  2 pages (500 words) Essay
  ess as the US secretary of defense especial during a conflict, the features of a successful leader and those that influence the judgments of a leader become evident. Leadership decisions and judgments are essential since they influence the actions of the subjects. Robert
  3 pages (750 words) Essay
  Question 1
  In Lean Sigma, the organization is in the defining phase. At this stage, the organization is in the process of defining the problems that it
  1 pages (250 words) Essay
  Get a custom paper written
  by a pro under your requirements!
  Win a special DISCOUNT!
  Put in your e-mail and click the button with your lucky finger
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is an extract from a student's essay that discusses statistical measures of central tendency and dispersion, such as mean, median, mode, range, standard deviation, and interquartile range (IQR). It also addresses the impact of skewed data on these measures. The extract contains a question and a series of answers to related sub-questions.
  
  Label: question-and-answer