### Problem Statement:-

 Write 80387 ALP to obtain: i) Mean ii) Variance iii) Standard Deviation Also plot the histogram for the data set. The data elements are available in a text file

### Code:-

```%macro scall 4
mov rax,%1
mov rdi,%2
mov rsi,%3
mov rdx,%4
syscall
%endmacro

Section .data
title: db 0x0A,"----Commands -----", 0x0A
db "Numbers are :  ",0x0A
db "102.56, 104.25, 235.26, 205.04, 326.01", 0x0A
title_len: equ \$-title
dot:db "."
meanmsg: db 0x0A,"Mean is: ",0x0A
meanmsg_len:equ \$-meanmsg
varmsg:db 0x0A, "Variance is : ",0x0A
varmsg_len: equ \$-varmsg
sdmsg: db 0x0A,"Standard Deviation is :", 0x0A
sdmsg_len: equ \$-sdmsg
array: dd 102.56,104.25,235.26,205.04,326.01
arraycnt: dw 05
hesc: dq 100
cnt2: db 02H
Section .bss
buffer: rest 1
disbuffer: resb 2
mean:resd 1
variance:resd 1

Section .text
global _start
_start:
scall 1,1,title,title_len
;========= Mean Calculation ==================
mov rcx, 00
mov cx, word[arraycnt] ;//total count of numbers
FINIT  ;initialize 80367 ndp
mov rsi,array ;starting location
UP:
add rsi,4 ;-_- double word= 4 bytes
loop UP

FIDIV word[arraycnt] ;divide by total
FST dword[mean]  ;store to mean
scall 1,1,meanmsg,meanmsg_len
CALL DISPLAY

;========= Variance Calculation ==================
scall 1,1,varmsg,varmsg_len
;mov dword[variance],00
FLDZ
mov rcx,00
mov cx, word[arraycnt]
mov rsi,array
VUP:
FLD dword[rsi]
FSUB  dword[mean]  ;(mean-number)
FST ST1   ;store to ST1
FMUL ST0,ST1  ; squaring above result
FST dword[variance] ;store that ans to variance
add rsi,4  ;-_- double word= 4 bytes
loop VUP
FLD dword[variance]
FIDIV word[arraycnt]

FST dword[variance]
CALL DISPLAY

;========= Standard Deviation Calculation ==================
scall 1,1, sdmsg,sdmsg_len
FLD dword[variance]
FSQRT ;use square root instruction
CALL DISPLAY

EXIT:
mov rax,60
mov rdi,0
syscall

;========= Display Procedure ==================
DISPLAY:
FIMUL dword[hesc] ;multiply by 100 to remove decimal point.Point will be printed explicitely
FBSTP [buffer] ;bcd store and pop to buffer
xor rcx,rcx  ;clear rxs or use mov rcx,00
mov cx,9  ; for displaying digits(18) on RHS of decimal point
mov rsi,buffer+9 ;GO to MSB  Byte
TOP:
push rcx ;push beacause value will be changed in HtoA method
push rsi

mov bl,byte[rsi] ;Load 1 byte=2 digits for ascii conversion
call HtoA  ;convert and print
pop rsi
dec rsi
pop rcx
dec rcx
jnz TOP
scall 1,1,dot,1 ;PRINT DECIMAL POINT

;printing digits after decimal point
mov rsi,buffer
mov bl,byte[rsi]
call HtoA
ret

;------HEX TO ASCII CONVERSION METHOD ----------------
HtoA: ;hex_no to be converted is in bx //result is stored in rdi/user defined variable
mov rdi,disbuffer
mov byte[cnt2],2H
aup:
rol bl,04
mov cl,bl
and cl,0FH
cmp cl,09H
jbe ANEXT
ANEXT:
mov byte[rdi],cl
INC rdi
dec byte[cnt2]
JNZ aup
scall 1,1,disbuffer,2
ret
```