QUESTION 1Consider the following descriptive statistics from Excel for a set of data.Median 428Standard Deviation 27.2406Sample Variance 11130.8095Range 314Minimum 201Maximum 515Sum 5810Count 15Which of the following is TRUE?a.the distribution is left skewedb.the best measure of central tendency is the meanc.the distribution is right skewedd.insufficient information to determine skewness
Question
QUESTION 1Consider the following descriptive statistics from Excel for a set of data.Median 428Standard Deviation 27.2406Sample Variance 11130.8095Range 314Minimum 201Maximum 515Sum 5810Count 15Which of the following is TRUE?a.the distribution is left skewedb.the best measure of central tendency is the meanc.the distribution is right skewedd.insufficient information to determine skewness
Solution
The question does not provide enough information to determine the skewness of the distribution. Skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. In simple terms, skewness tells you the amount and direction of skew (departure from horizontal symmetry).
The standard deviation, variance, range, minimum, maximum, sum, count, and median provided in the question are measures of central tendency and dispersion, but they do not provide information about the shape of the distribution, specifically its skewness.
Therefore, the correct answer is:
d. Insufficient information to determine skewness.
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