Based on the data provided for the Female BMI(f-bmi) and the Male BMI(m-bmi) *Pr

Question

Based on the data provided for the Female BMI(f-bmi) and the Male BMI(m-bmi)
*Provide descriptive statistics including measures of location (central tendency),
dispersion (variation/spread), and skewness
*Indicate what measures of location and dispersion best describe your data (if your data is
approximately symmetric, the mean and standard deviation are the best measures; if
skewed the median and quartiles provide better measures)

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Explanation / Answer

We have given that the data set of female BMI and male BMI.

We have to find descriptive statistics for the datasets.

Measures of central tendency are mean, median and mode.

Measures of dispersion are Range, interquartile range, and standard deviation.

We can find descriptive statistics in excel.

steps :

ENTER data into excel sheet --> Data --> Data analysis --> Descriptive statistics --> ok --> Input range : select both the columns --> Grouped by : Columns --> Labels in first row --> Output range : select one empty cell --> summary statistics --> ok --> ok

For F-BMI,

Mean > Median > Mode

28.44 > 26.505 > 20.85

SO the data is positively skewed.

Similarly for M-BMI,

Mean > Median

Or Median < Mean

Mode doesn't exist.

For skewness mean, mode and standard deviation are the proper measure. Using these three measures we can find coefficient of skewness and decide whether the data is positively skewed or negatively skewed or symmetric.

F-BMI M-BMI Mean 28.44075 Mean 26.6005 Standard Error 1.169106 Standard Error 0.847402 Median 26.505 Median 26.53 Mode 20.85 Mode #N/A Standard Deviation 7.394076 Standard Deviation 5.359442 Sample Variance 54.67236 Sample Variance 28.72362 Kurtosis 0.196496 Kurtosis -0.70028 Skewness 0.900222 Skewness 0.193294 Range 29.62 Range 21.18 Minimum 17.62 Minimum 17.27 Maximum 47.24 Maximum 38.45 Sum 1137.63 Sum 1064.02 Count 40 Count 40

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