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Homework answers / question archive / Given: Mean age = 46

Given: Mean age = 46

Statistics

Given:

Mean age = 46.07

Mode age = 50.2

Median = 44.00

Mean Cholesterol = 294.73

Mode Cholesterol = 273

Median = 284.00

According to mean, mode, and median statistics, what kind of distributions should be expected to have for Age and Cholesterol variables?

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Given Information

Age:

  • Mean age = 46.07
  • Mode age = 50.2
  • Median = 44.00

Cholestrol:

Mean Cholesterol = 294.73

Mode Cholesterol = 273

Median = 284.00

Depending on the alignment or arrangement of three central tendency measures on the horizontal number line, the expected shape of the distribution is determined.

  • Positive skewness:mode<median<mean.
  • Symmetric: mean=median=mode.
  • Negative skewness: mean<median<mode.

Using the notion,

Age:

For the three values,

Median < mean < mode;

  • the peak is to the right of the median value.
  • the weight of the distribution lies to the right of the middle point.

Hence, the distribution would appear negatively skewed with an elongated right tail (than usual) and short left tail.

Cholestrol:

For the three values;

Mode<median<mean

Hence, the distribution can be expected to be positively skewed.