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Asked Sep 13, 2019
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I have struggled with questions related to the one in the image attached. What makes these data distributions such as these symmetrical and non-symmetrical? I have had multiple various questions of this type and I cannot get any of them right when it seems  VERY easy to figure out just by looking at the numbers alone. I even DRAW OUT the graphs to give a better visual but I assume I am just missing or over-thinking some simple concepts.

15. Of the data sets below, which does NOT have a symmetric distribution?
1, 2, 3, 4
1, 1, 4, 7
Set C: 0, 5, 5, 10
Set D: 6, 6, 6, 6
Set A:
Set B:
Set A
Set B
Set C
Set D
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15. Of the data sets below, which does NOT have a symmetric distribution? 1, 2, 3, 4 1, 1, 4, 7 Set C: 0, 5, 5, 10 Set D: 6, 6, 6, 6 Set A: Set B: Set A Set B Set C Set D

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Step 1

Symmetric distribution:

A distribution is said to be symmetric, when its mean, median, and mode are the same. That is, the length of the curve of the left-hand tail will be a mirror image of the right-hand tail.

Right-skewed distribution:

For a right-skewed distribution, mean > median > mode. Moreover, the data will monotonically increase after attaining the maximum and if the right hand side of the curve is larger than the left hand side, then it is called a right-skewed distribution. This is also called as positively-skewed distribution.

Left-skewed distribution:

For a left-skewed distribution, mean < median < mode. Moreover, the data will monotonically decrease after attaining the maximum and if the left hand side of the curve is larger than the right hand...

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Set A Set B Set C Set D 5 Mean Mean 2.5 Mean 3.25 Mean Standard Error 0.645497224 Standard Error 1436140662 Standard Error 2.041241452 Standard Error Median 2.5 Median 2.5 Median 5 Median Mode Mode 1 Mode 5 Mode aN/A Standard Deviation 1.290994449 Standard Deviation 2.872281323 Standard Deviation 4.082482905 Standard Deviation Sample Variance 1.666666667 Sample Variance 8.25 Sample Variance 16.66666667 Sample Variance DIV/O! Kurtosis -1.2 Kurtosis -1.289256198 Kurtosis 15 Kurtosis Skewness o Skewness DIV/0! 0.854563038 Skewness o Skewness Range Minimum 3 Range 6 Range 10 Range 1 Minimum 1 Minimum O Minimum Maximum 4 Maximum 7 Maximum 10 Maximum Sum 10 Sum 13 Sum 20 Sum 24 Count 4 Count 4 Count 4 Count

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