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Measures of central tendency, dispersion and shape using Matlab

Lab Assignment #3:

LAB Assignment #3: Measures of central tendency, dispersion and shape

Part I: Calculating the average molar mass on Mars.  (10 pts)

The atmosphere on Mars is very different from the atmosphere on the Earth. Here is the

breakdown of Mars’ atmosphere composition:

Carbon dioxide  95.97%

Argon      1.93%

Nitrogen    1.89%

Oxygen    0.15%

Carbon monoxide   0.06%

Carbon dioxide, Argon, Nitrogen, Oxygen and Carbon monoxide have molar masses of 44 g/mol,

39 g/mol, 28 g/mol, 32 g/mol, and 28 g/mol separately. Please use MATLAB to calculate the

average molar mass (unit: g/mol) of the atmosphere on Mars. Write or attach your MATLAB

code/file.

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GEOG 444 Lab Assignment #3:

Part II: Statistics on Missouri hydrology

Follow the following steps, and write a single MATLAB file with all the codes you used for your

calculations, name it as Missouri_Precip.m.

First download the MATLAB MAT-file, data.mat from Canvas, Week06, and save it in your

working directory. Load and read it in MATLAB. Make sure you will see a variable named data with

the size of 120×2. The first column presents the calendar year, from 1897 to 2016, and the second

column shows the annual (sum from January to December) precipitation (unit: inch) for each

corresponding year averaged over Missouri.

Let’s first define two variables: year, and precip. Then read in each column. Type “whos”, you

should be able to see the variables and sizes:

1)  First calculate the measures of central tendency, namely, the mean and median of Missouri

precipitation during 1897-2016 in MATLAB, and name the variables Pmean, Pmedian. (1 pt

for each)

Pmean=   Pmedian=

2)  Calculate the maximum, minimum, range, average deviation, standard deviation values of

Missouri precipitation during 1897-2016. Name variables Pmax, Pmin, Prange, Pavgdev,

Pstd, Pvar. Then find out the corresponding years with maximum precipitation and

minimum precipitation using MATLAB command and name the years as yearmax and

yearmin separately. (1 pt for each)

Pmax=    Pmin=

Prange=    Pavgdev=

Pstd=     Pvar=

yearmax=    yearmin=

Calculate the 1st quartile, the 3rd quartile values and calculate the interquartile range (IQR)

values of Missouri precipitation during 1897-2016. If you do not have the statistics toolbox

(need to pay more \$), please refer to slides 5-6 from Lecture note #11 to write your own

code to calculate it. You need to define a variable precip_sorted, to sort the precipitation

data from minimum value to maximum value. Then calculate the three values, and name

them 1stquartile  value as precip1st, 3rd quartile as precip3rd, and precipIQR

precip1st =   precip3rd=   precipIQR=

3)  Plotting: Let’s plot this time series (120years) using command “plot” to show the annual

precipitation of Missouri from 1897-2016, with x-axis as year and y-axis as precipitation in

unit of inches. Attach the plot. In this plot, use the following formatting:  (8 pts)

o  Use the plot command to plot the series with black color.

o  Set the axis scaling for x-axis from 1897 to 2016, y-axis from 25 inches to 60 inches.

o  Draw two horizontal lines: solid blue line to present the mean; dashed green line the

median.

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GEOG 444 Lab Assignment #3:

o  Highlight two years with maximum and minimum values of precipitation by putting

two red circles on the plot.

o  Put a legend to present ‘each year’, ‘mean’, and ‘median’ separately.

o  The x-axis should be labeled “Year”

o  The y-axis should be labeled “annual precipitation (unit: inch)”

o  Add major grid lines to the current axes

o  Title should be “Missouri annual precipitation (1897-2016)”

4)  Plotting: Plot the histogram of the precipitation data. Choose the bin as 25:2.5:60, use either

histogram or hist command. Attach the plot. (5 pts)

5)  Calculate the skewness and kurtosis of the precipitation data and name them Pskewness and

Pkurtosis. Use the following formula in MATLAB:  (4 pts)

and

Pskewness=  Pkurtosis=

Is Missouri precipitation positive or negative skewed?

Is the peak sharper or flatter than a normal distribution curve? Recalling the kurtosis of a

normal distribution is the value of 3.

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Last Updated on October 3, 2018

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