Having some issues with an array I am having an issue that I can't seem to get my head wrapped around.  What I am trying to accomplish is to have a minutes worth of sensor data in an array (reading every 5 seconds) so I'll have 12 values in this after one minute.  

I want to keep the array to 12 values so I need to keep moving all the values in it down one index per new value hitting index [0] to make sure that each reading has a lifetime of 60 seconds on the array.  Here is my code so far:

void add_readings_to_averages() {
  // At this point, I am moving values down the array to make room at the beginning.
  for (int a = 11; a &gt;= 0; a--) {
    Serial.print("The value at temperature_c_minute_avg[");
    Serial.print(a);
    Serial.print("] is ");
    Serial.print(temperature_c_minute_avg[a]);
    Serial.println();
    if (a == 11) {
      Serial.println("At 12 so need to overwrite this value");
    }

    if (a &lt;= 10) {
      Serial.print("a is ");
      Serial.println(a);
      temperature_c_minute_avg[a] = temperature_c_minute_avg[a + 1];  // This moves each entry down one index in the array creating an empty space at index[0]
    }

    if (a == 0) {
      temperature_c_minute_avg[a] = temperature_c;
    }
  }


I've loaded my array at the time of initialization with some dummy data so I could see what was going on.  First run displays as you would expect.

The value at temperature_c_minute_avg[11] is 120.00
At 12 so need to overwrite this value
The value at temperature_c_minute_avg[10] is 110.00
a is 10
The value at temperature_c_minute_avg[9] is 100.00
a is 9
The value at temperature_c_minute_avg[8] is 90.00
a is 8
The value at temperature_c_minute_avg[7] is 80.00
a is 7
The value at temperature_c_minute_avg[6] is 70.00
a is 6
The value at temperature_c_minute_avg[5] is 60.00
a is 5
The value at temperature_c_minute_avg[4] is 50.00
a is 4
The value at temperature_c_minute_avg[3] is 40.00
a is 3
The value at temperature_c_minute_avg[2] is 30.00
a is 2
The value at temperature_c_minute_avg[1] is 20.00
a is 1
The value at temperature_c_minute_avg[0] is 10.00
a is 0
2018/11/2 11:4:39  -  Running for a total of 0 hours 0 minutes and 7         seconds


But the second time through the loop() my array is trashed.

The value at temperature_c_minute_avg[11] is 120.00
At 12 so need to overwrite this value
The value at temperature_c_minute_avg[10] is 120.00
a is 10
The value at temperature_c_minute_avg[9] is 120.00
a is 9
The value at temperature_c_minute_avg[8] is 120.00
a is 8
The value at temperature_c_minute_avg[7] is 120.00
a is 7
The value at temperature_c_minute_avg[6] is 120.00
a is 6
The value at temperature_c_minute_avg[5] is 120.00
a is 5
The value at temperature_c_minute_avg[4] is 120.00
a is 4
The value at temperature_c_minute_avg[3] is 120.00
a is 3
The value at temperature_c_minute_avg[2] is 120.00
a is 2
The value at temperature_c_minute_avg[1] is 120.00
a is 1
The value at temperature_c_minute_avg[0] is 0.00
a is 0
2018/11/2 11:4:44  -  Running for a total of 0 hours 0 minutes and 12     seconds


The entire array was overwritten with the last value and the new value was not added.  The array itself is setup as a global variable.  The initialization at the top.  

float temperature_c_minute_avg[12] = {10.0,20.0,30.0,40.0,50.0,60.0,70.0,80.0,90.0,100.0,110.0,120.0};


What am I missing here?  Been staring at this for some time, but this is the first time I've tried to use an Arduino array so I can totally believe the issue is PBKAC! :)
Your issue is a C programming issue and has nothing to do with the Arduino specifically.  You should research how to implement a circular buffer.  You don't want to move around the values within the array, but rather just increment array index values.  Keep two index values, one of the current index position (the place where the next recorded value will be placed) and another of the number of values recorded.  Eventually the number of values recorded will be equal to your maximum array size and only the index position will increment.  When the array index exceeds the maximum array size it wraps back to 0.