Moisture1 Summary Statistis Quantiles 1000% maximum 99.5% 97.5% 900% 75.0% quart

Question

Moisture1 Summary Statistis Quantiles 1000% maximum 99.5% 97.5% 900% 75.0% quartile 50.0% median 25.0% quartile 10.0% 2.5% 0.5% 0.0% minimum 4.24 Mean 4.24 Std Dev 3.5276042 0.3187566 192 9.0360639 3.58 1.72 0.3675 4.0705 N 3.837 CV 3.74 Median 3.58 Range 3.3725 Interquartile Range 2.966 2.7665 25 30 35 40 2.52 2.52 Moisture2 Quantiles 1000% maximum 4.0035914083 Mean 99.5% 97.5% 90.0% 75.0% quartile 3.5278866421 Median 50.0% median 3.386919432 Range 25.0% quartile 3.2120548027 Interquartile Range 0.3158318 100% 2.5% 0.5% 0.0% minimum 2.2633094171 Summary Statistics 3.3495482 0.2652439 192 7.9187952 3.3869194 1.740282 4.0035914083 Std Dev 3.8590137514 N 3.6307225421 CV 3.0385169113 2.6460858955 2.2633094171 25 30 3.5 4.0 a) Give the shape of the data for each of these variables. How do you know what the shape is? b) Which measure of location and measure of spread is most appropriate for each of these variables? c) Which variable (Moisture 1 or Moisture 2) has the least variability? Justify your answer

Explanation / Answer

SolutionnA:

since median> mean

3.58>3.53

variable moisture1 is negatively skewed

Moisture2 is negatively skewed

skewed to left

since median>mean

assymteric distribution.

measure of location:median

measure of spread is IQR

3.38>3.35

soLUTIONB:

forMOISTURE1 variable

SInce it is skewed measure of location is median

measure of spread is IQR(Inter Quartile Range)

for MOISTURE2 variable

measure of location is median

measure of spread is IQR(Inter Quartile Range)

Solutionc:

mosisture 2 has least variablity as standard deviation of moisture 2 is 0.265 compared to standard deviation of moisture 1 which is 0.318

SOlutiond:

lower limit is ANy value below Q1-1.5IQR

and upper limit is any value above Q3+1.5 IQR are outliers.

IQR=Q3-Q1

Q1---25%

Q2---50%

For moisture 1 it is

lower limit=3.3725-1.5(374-3.2725)= 2.67125

upper limit=3.74+1.5(374-3.2725)=4.44125

any value below 2.67 and any value above 4.44 are outliers

There are outliers seen from boxplot for both moisture1 and moisture2

Calcualte for mositure 2 in a similar manner.

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