#### Creating Histograms and Box Plots and finding their frequency

Histograms and BoxPlots:

For drawing the histograms, box-plots and computing the frequency of each class we can use the calculator.

The instructions are written on the calculator to do statistics and lists. This gives an overview and also some useful advice for working with statistics on calculator.

Histograms:

A) Enter the data.

B) Find out the class width and the lower class boundary (i.e., not limit) of the first class by using the methods for making grouped frequency distributions.

C) Turn off every regular plots: Hit Y= and position the cursor over any equal sign that is in inversed video (that is, white on black) by arrowing left and then down if essential. Hit enter when the cursor is on the equivalent sign to toggle among displaying the function and not displaying the function (that is, equal sign not highlighted).

D) Now press the STATPLOT key (2nd Y=).

E) Choose a plot (generally plot 1) and press the enter.

F) Now plot on by highlighting the ON and pressing enter.

G) Set the TYPE to the histograph (that is, last type).

H) Now set the XLIST to list you place the data into.

I) The FREQ is then set to 1.

J) Now choose WINDOW.

K) Place the lower class boundary for first class in the XMIN.

L) The XMAX value must be the lower class boundary for the first class plus the number of class width and classes times.

M) The Class Width must be stored in the XSCL.

N) YMIN must be set to 0

O) YMAX must be at least the biggest frequency in any class. This is difficult to know when you are generating the histogram devoid of first writing the table by hand. When the histogram displayed does not fit on screen, go back and modify this number. The good initial guess may be the sample size divided by the number or classes. You may round up it to a nice number (like multiple of 5) or add up one or two and hence graph is fully shown on the screen.

P) YSCL must be set based on the YMAX value. The factor of YMAX would be a fine choice (therefore if YMAX is 30, suppose YSCL be 5). If your YMAX is small (say below 10), you may want to set it to 1. This will find out how many marks are placed all along the vertical axis.

Q) At last hit the GRAPH key.

Finding the Frequency:

a) At first generate a histogram.

b) Then press the TRACE key.

c) The ‘min’ value is the lower class boundary.

d) The ‘max’ value is the upper class boundary.

e) The ‘n’ value is the frequency for the class.

f) We can employ the right and left arrow keys to find out the values for all the classes.

Box Plots:

a) At first enter all data.

b) Turn off any regular plots: Hit Y= and position the cursor over any equal sign that is in inversed video (that is, white on black) by arrowing left and then down if essential. Press enter as the cursor is on the equivalent sign to toggle among displaying the function (equal sign highlighted) and not exhibiting the function (equivalent sign not highlighted).

c) Now press the STATPLOT key (2nd Y=).

d) Choose a plot (typically plot 1) and hit enter.

e) Turn the plot on by highlighting the ON and hitting enter.

f) Now set the TYPE to box-plot (3rd type).
g) Set the XLIST to the list you place the data into.

h) The FREQ is then set to 1.

i) Zoom to Statistics mode (that is, ZOOM 9)

You press the TRACE key with the box plot displayed to find out the five numbers related with it. You might use the left and right arrow keys to determine all five numbers. Keep in mind that the calculator employs the quartiles rather than the hinges. The quartiles and hinges are the similar unless the remainder whenever the sample size is divided by four is three.

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