Question

Midpoints: It will be useful later in the term to be able to find the midpoint of an interval. Below, you will calculate the midpoint for each of the intervals you described above. When we are calculating a midpoint, we aren't concerned about including or not including the endpoints. We only need to calculate their average. We will also find the distance from the midpoint to either endpoint. We will call this the standard error. Example: Find the midpoint and standard error of the interval (2,4). Midpoint: 2 = 1 = 3 Standard Error: 4 - 3 = 1 or 3 - 2 = 1 5. Find the midpoint and standard error of the interval (0,3). Midpoint: Standard Error: 6. Find the midpoint and standard error of the interval [1,4]. Midpoint: Standard Error: 7. Find the midpoint and standard error of the interval (2,6). Midpoint: Standard Error: 8. Find the midpoint and standard error of the interval (0.2.5). Midpoint: Standard Error: 2

Answer 1

Interval [ab] Midpoint 8 0+3 Standard error: 3-1,5 = 1:5 or 1.5-0 =1.5 D The interval [!,4] midpoint: 4+1 a 2.5 Standard error • 4-2.5 = 1.5 2.5-1 = 1.5 © The interval ( 26) ! midpoint 2+6 4 oald Standard error 6-19 = 2 07 4-2 = 2 8 The interval for(0, 2.5) midpoint : 0+2.5 - 2.5 -- 1.25 2 2.5-1.25 1.25 or 1.25-0=1.25 Scanned with CamScanner