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Which of the following statements is NOT true in relation to measures of dispersion? 
  • a)
    The range is the difference between the maximum and minimum data values. 
  • b)
    The most commonly used measure of dispersion is standard deviation (SD). 
  • c)
    The standard deviation is equal to the square of the sum of the squares of all the differences (deviations) between each score and the mean, divided by the number of scores. 
  • d)
    The square root of the standard deviation is called the variance.
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Which of the following statements is NOT true in relation to measures ...
We might also want describe the typical distance of responses from one another – that is, how tightly they are clustered around the central point. This is typically established using one of two measures. The first and probably most obvious is the range of responses – the difference between the maximum and minimum values. But in fact the most commonly used measure of dispersion is standard deviation (SD). This is equal to the square root of the sum of the squares of all the differences (deviations) between each score and the mean, divided by the number of scores (in fact, the number of scores minus one if we want a population estimate, as we usually do). The square of the standard deviation is called the variance.
Community Answer
Which of the following statements is NOT true in relation to measures ...
Explanation:

Standard Deviation Calculation:
- The standard deviation is not calculated by summing the squares of all the differences between each score and the mean and dividing by the number of scores.
- The formula for standard deviation involves taking the square root of the variance, which is the average of the squared differences between each data point and the mean.

Correct Calculation of Standard Deviation:
- To calculate the standard deviation, first, find the mean of the data set.
- Then, subtract the mean from each data point, square the result, sum up all the squared differences, and divide by the total number of data points.
- Finally, take the square root of the result to get the standard deviation.

Importance of Standard Deviation:
- Standard deviation is a crucial measure of dispersion that indicates how spread out the values in a data set are from the mean.
- It provides valuable insights into the variability and consistency of the data, making it one of the most commonly used measures of dispersion in statistics.

Conclusion:
- The statement claiming that standard deviation is equal to the square of the sum of the squares of all the differences between each score and the mean, divided by the number of scores is not true. The correct calculation involves finding the square root of the variance to determine the standard deviation.
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Which of the following statements is NOT true in relation to measures of dispersion?a)The range is the difference between the maximum and minimum data values.b)The most commonly used measure of dispersion is standard deviation (SD).c)The standard deviation is equal to the square of the sum of the squares of all the differences (deviations) between each score and the mean, divided by the number of scores.d)The square root of the standard deviation is called the variance.Correct answer is option 'C'. Can you explain this answer?
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Which of the following statements is NOT true in relation to measures of dispersion?a)The range is the difference between the maximum and minimum data values.b)The most commonly used measure of dispersion is standard deviation (SD).c)The standard deviation is equal to the square of the sum of the squares of all the differences (deviations) between each score and the mean, divided by the number of scores.d)The square root of the standard deviation is called the variance.Correct answer is option 'C'. Can you explain this answer? for Humanities/Arts 2024 is part of Humanities/Arts preparation. The Question and answers have been prepared according to the Humanities/Arts exam syllabus. Information about Which of the following statements is NOT true in relation to measures of dispersion?a)The range is the difference between the maximum and minimum data values.b)The most commonly used measure of dispersion is standard deviation (SD).c)The standard deviation is equal to the square of the sum of the squares of all the differences (deviations) between each score and the mean, divided by the number of scores.d)The square root of the standard deviation is called the variance.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Humanities/Arts 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is NOT true in relation to measures of dispersion?a)The range is the difference between the maximum and minimum data values.b)The most commonly used measure of dispersion is standard deviation (SD).c)The standard deviation is equal to the square of the sum of the squares of all the differences (deviations) between each score and the mean, divided by the number of scores.d)The square root of the standard deviation is called the variance.Correct answer is option 'C'. Can you explain this answer?.
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