## NPRA36 Statistics

##### Last Revision : January 1st, 2018.

**1. 2nd Norm**

Raw Score |
IQ (sd15) |
Rarity (1/x) |
Raw Score |
IQ (sd15) |
Rarity (1/x) |

9 |
<=128 | 32 | 23 |
153 | 4,873 |

10 |
130 | 44 | 24 |
155 | 8,137 |

11 |
131 | 52 | 25 |
157 | 13,817 |

12 |
133 | 72 | 26 |
159 | 23,863 |

13 |
134 | 85 | 27 |
161 | 41,916 |

14 |
135 | 102 | 28 |
163 | 74,883 |

15 |
137 | 147 | 29 |
165 | 136,074 |

16 |
139 | 215 | 30 |
167 | 251,515 |

17 |
141 | 319 | 31 |
169 | 472,893 |

18 |
143 | 482 | 32 |
172 | 1,258,887 |

19 |
145 | 741 | 33 |
175 | 3,483,046 |

20 |
147 | 1,157 | 34 |
178 | 10,016,587 |

21 |
149 | 1,838 | 35 |
184 | 93,056,001 |

22 |
151 | 2,968 | 36 |
190 | 1,009,976,678 |

**2. Histogram**

**3. Statistical Properties & Correlations with other tests**

*Calculated mean on reported scores on standard supervised tests is 140.4 sd15 (N=10). Mean raw score of this sample on NPRA36 is 17.5.*

Parameter |
Value |
Test |
Score Pairs (n) |
r |

Mean |
19.936 | Standard* |
10 | 0.809 |

Median |
20 | WAIS |
4 | 0.985 |

Stand. Deviation |
6.452 | RAPM |
4 | 0.787 |

Variance |
41.634 | Jouve** |
16 | 0.889 |

SEM |
0.951 | JCTI |
4 | 0.997 |

Kurtosis |
0.258 | C-09 |
3 | 0.999 |

Skewness |
-0.244 | C-10 |
3 | 0,913 |

Cronbach’s a |
0.896 | – | – | – |

* Tests used : WAIS, RAPM, FRT-B, Unknown Mensa Entrance Test.

** Tests used : JCTI, NVCPE-R, CSE, TLAP-R, C-09, C-10, JCCES.

**4. Notes**

To sum up, NPRA36 shows excellent correlation with standard supervised IQ tests (r=0.809) and reliability (Cronbach’s alpha=0.896), a fact that makes it a reliable tool for estimating one’s intelligence quotient. In addition, due its high difficulty (a raw score of 11/36 is theoretically enough for joining Mensa), test’s structure provides enough space for thorough IQ estimation, without leaving large gaps within the norm. Next norm (3rd) will be generated after a total of 75 submissions.