# Sectors Relative Strength Normal Distribution

I wrote this indicator as an attempt to see the Relative Strengths of different sectors in the same scale, but there is also other ways to do that.

This indicator plots the normal distribution for the 10 sectors of the SPY for the last X bars of the selected resolution, based on the selected comparative security. It shows which sectors are outperforming and underperforming the SPY (or any other security) relatively to each other by the given deviation.

```study("Sectors Relative Strength Normal Distribution")

//This indicator plots the normal distribution for the 10 sectors of the SPY for the last X bars of the selected resolution, based on the selected comparative security.

sym = input(title="Comparative Security", type=symbol, defval="SPY")
res = input(title="Resolution", type=resolution, defval="D")
a = security(sym, res, close)
i = input(title="Deviation", type=integer, defval=200, minval=2, maxval=2000)

XLB1 = security("XLB",res,close)
XLE1 = security("XLE",res,close)
XLF1 = security("XLF",res,close)
XLI1 = security("XLI",res,close)
XLK1 = security("XLK",res,close)
XLP1 = security("XLP",res,close)
XLU1 = security("XLU",res,close)
XLV1 = security("XLV",res,close)
XLY1 = security("XLY",res,close)
XTN1 = security("XTN",res,close)

XLB2 = XLB1/a
XLE2 = XLE1/a
XLF2 = XLF1/a
XLI2 = XLI1/a
XLK2 = XLK1/a
XLP2 = XLP1/a
XLU2 = XLU1/a
XLV2 = XLV1/a
XLY2 = XLY1/a
XTN2 = XTN1/a

XLB3 = stdev(XLB2,i)
XLE3 = stdev(XLE2,i)
XLF3 = stdev(XLF2,i)
XLI3 = stdev(XLI2,i)
XLK3 = stdev(XLK2,i)
XLP3 = stdev(XLP2,i)
XLU3 = stdev(XLU2,i)
XLV3 = stdev(XLV2,i)
XLY3 = stdev(XLY2,i)
XTN3 = stdev(XTN2,i)

XLB4 = sum(XLB2,i)/i
XLE4 = sum(XLE2,i)/i
XLF4 = sum(XLF2,i)/i
XLI4 = sum(XLI2,i)/i
XLK4 = sum(XLK2,i)/i
XLP4 = sum(XLP2,i)/i
XLU4 = sum(XLU2,i)/i
XLV4 = sum(XLV2,i)/i
XLY4 = sum(XLY2,i)/i
XTN4 = sum(XTN2,i)/i

XLB5 = (XLB2-XLB4)/XLB3
XLE5 = (XLE2-XLE4)/XLE3
XLF5 = (XLF2-XLF4)/XLF3
XLI5 = (XLI2-XLI4)/XLI3
XLK5 = (XLK2-XLK4)/XLK3
XLP5 = (XLP2-XLP4)/XLP3
XLU5 = (XLU2-XLU4)/XLU3
XLV5 = (XLV2-XLV4)/XLV3
XLY5 = (XLY2-XLY4)/XLY3
XTN5 = (XTN2-XTN4)/XTN3

plot(XLB5,title="Materials - XLB",color=red)
plot(XLE5,title="Energy - XLE",color=blue)
plot(XLF5,title="Financial - XLF",color=purple)
plot(XLI5,title="Industrial - XLI",color=yellow)
plot(XLK5,title="Technology - XLK",color=orange)
plot(XLP5,title="Consumer Staples - XLP",color=green)
plot(XLU5,title="Utilities - XLU",color=gray)
plot(XLV5,title="Healthy Care - XLV",color=black)
plot(XLY5,title="Consumer Discretionary - XLY",color=maroon)
plot(XTN5,title="Transportation - XTN",color=navy)
```