| Pop values | Est from samples | Predicted stdev for sample means | |||||||
| Sample size | 205 | Not possible | 0.39 | ||||||
| Mean | 5.01 | 5.02 | Actual stdev for sample means | ||||||
| Stdev | 2.48 | 2.35 | 1.19 | ||||||
| sample | sample | ||||||||
| Num | Student | p1 | p2 | p3 | p4 | p5 | count | avg | stdev |
| 1 | JA | 5 | 7 | 1 | 3 | 2 | 5 | 3.83 | 2.23 |
| 2 | RL | 7 | 9 | 6 | 4 | 5 | 5 | 6.20 | 1.92 |
| 3 | CN | 8 | 7 | 8 | 10 | 5 | 5 | 7.60 | 1.82 |
| 4 | JD | 7 | 8 | 6 | 1 | 5 | 5 | 5.40 | 2.70 |
| 5 | PK | 5 | 6 | 2 | 8 | 6 | 5 | 5.40 | 2.19 |
| 6 | MAL | 1 | 5 | 6 | 7 | 2 | 5 | 4.20 | 2.59 |
| 7 | AS | 1 | 2 | 5 | 2 | 8 | 5 | 3.60 | 2.88 |
| 8 | CYI | 7 | 7 | 4 | 2 | 8 | 5 | 5.60 | 2.51 |
| 9 | AA | 4 | 5 | 3 | 2 | 7 | 5 | 4.20 | 1.92 |
| 10 | MT | 2 | 7 | 3 | 6 | 1 | 5 | 3.80 | 2.59 |
| 11 | JS | 5 | 7 | 3 | 2 | 8 | 5 | 5.00 | 2.55 |
| 12 | TL | 5 | 8 | 3 | 4 | 6 | 5 | 5.20 | 1.92 |
| 13 | CD | 7 | 5 | 9 | 5 | 9 | 5 | 7.00 | 2.00 |
| 14 | FU | 5 | 5 | 7 | 3 | 8 | 5 | 5.60 | 1.95 |
| 15 | JR | 5 | 4 | 3 | 4 | 2 | 5 | 3.60 | 1.14 |
| 16 | EJD | 5 | 5 | 3 | 1 | 9 | 5 | 4.60 | 2.97 |
| 17 | GW | 9 | 5 | 3 | 4 | 6 | 5 | 5.40 | 2.30 |
| 18 | BB | 5 | 9 | 3 | 4 | 6 | 5 | 5.40 | 2.30 |
| 19 | MC | 1 | 9 | 6 | 9 | 5 | 5 | 6.00 | 3.32 |
| 20 | DE | 5 | 5 | 3 | 4 | 2 | 5 | 3.80 | 1.30 |
| 21 | HS | 5 | 1 | 7 | 6 | 9 | 5 | 5.60 | 2.97 |
| 22 | CU | 1 | 3 | 7 | 8 | 4 | 5 | 4.60 | 2.88 |
| 23 | JSS | 5 | 3 | 2 | 7 | 8 | 5 | 5.00 | 2.55 |
| 24 | JosA | 10 | 7 | 1 | 5 | 8 | 5 | 6.20 | 3.42 |
| 25 | HP | 4 | 3 | 6 | 7 | 2 | 5 | 4.40 | 2.07 |
| 26 | HL | 2 | 4 | 1 | 7 | 5 | 5 | 3.80 | 2.39 |
| 27 | DA | 5 | 3 | 2 | 4 | 1 | 5 | 3.00 | 1.58 |
| 28 | BM | 3 | 1 | 6 | 2 | 4 | 5 | 3.20 | 1.92 |
| 29 | VT | 2 | 5 | 8 | 7 | 5 | 5 | 5.40 | 2.30 |
| 30 | DJ | 7 | 5 | 9 | 1 | 10 | 5 | 6.40 | 3.58 |
| 31 | HE | 3 | 4 | 5 | 6 | 7 | 5 | 5.00 | 1.58 |
| 32 | MAO | 7 | 1 | 3 | 2 | 2 | 5 | 3.00 | 2.35 |
| 33 | RI | 2 | 4 | 6 | 8 | 1 | 5 | 4.20 | 2.86 |
| 34 | LH | 2 | 3 | 9 | 9 | 7 | 5 | 6.00 | 3.32 |
| 35 | KK | 1 | 3 | 6 | 9 | 5 | 5 | 4.80 | 3.03 |
| 36 | FzH | 5 | 2 | 3 | 4 | 2 | 5 | 3.20 | 1.30 |
| 37 | RE | 5 | 1 | 2 | 9 | 8 | 5 | 5.00 | 3.54 |
| 38 | 8 | 8 | 8 | 9 | 6 | 5 | 7.80 | 1.10 | |
| 39 | BA | 7 | 9 | 3 | 4 | 6 | 5 | 5.80 | 2.39 |
| EE | 5 | 7 | 3 | 5 | 10 | 5 | 6.00 | 2.65 | |
| LP | 5 | 7 | 8 | 4 | 6 | 5 | 6.00 | 1.58 | |
| 40 | |||||||||
| sample size | 41 | 41 | 41 | ||||||
| mean | 5 | 5.02 | 2.35 | ||||||
| stdev | 0 | 1.19 | 0.65 | ||||||
| Number | Freq | xbar Freq | RF data | RF xbar | |||||
| min avg | 3.00 | 1 | 18 | 0 | 0.09 | 0 | |||
| max avg | 7.80 | 2 | 24 | 0 | 0.12 | 0 | |||
| range avg | 4.80 | 3 | 23 | 2 | 0.11 | 0.05 | |||
| width | 0.96 | 4 | 19 | 8 | 0.09 | 0.2 | |||
| 5 | 37 | 11 | 0.18 | 0.27 | |||||
| 6 | 19 | 14 | 0.09 | 0.34 | |||||
| 7 | 26 | 4 | 0.13 | 0.1 | |||||
| 8 | 19 | 2 | 0.09 | 0.05 | |||||
| 9 | 16 | 0 | 0.08 | 0 | |||||
| 10 | 4 | 0 | 0.02 | 0 | |||||
| 205 | 41 | 1 | 1 | ||||||
|
|
|||||||||
| Expected value = (1+2+3+4+5+6+7+8+9+10)/10 = 5.5 | |||||||||
| Expected | 5.500 | ||||||||
| Pop mean | 5.015 | ||||||||
| Mean of sample means | 5.020 | ||||||||