Can be converted from EQ to IQ

Please also note our technically updated new editions of:

Thinking games with Elfe and Mathis - promoting logical thinking skills for preschool and elementary school children
and
conText - promoting reading comprehension by working with texts.

Standard value calculator *

New! Now also as a mobile version (beta)

The following small calculator will help you convert IQ scores, T scores, standard scores, value points (Wechsler intelligence tests), the PISA scale and percentile ranks. Please move the slider or enter a value in a field and press the return key:

* The standard value calculator uses the Chart.js library to display the diagram.

** The calculation of the confidence interval is based on the standard estimation error (cf. Amelang & Schmidt-Atzert, 2006, p. 51) and taking into account the regression towards the center. Only values ​​between 0 and 1 are permitted for reliability. The confidence interval is output depending on the selected standard value scale. If "cumulative" is selected, the confidence interval is output as a percentile band.

background

Norm values ​​serve to relate the results of a single person to the values ​​of a comparison group. To convert an individual value into a normal value, it is generally assumed that the values ​​in the comparison group are distributed in the form of a bell, i.e. that many people have average values ​​and few people have extreme values. Such so-called normal distributions are characterized by a mean value M and a standard deviation SD. The latter represents a measure of the variability of the values ​​within the comparison group, i.e. the breadth of the distribution. A norm value indicates how many standard deviations the value of an individual person is from the group mean. There are different scales in which the standard values ​​can be expressed and which can be converted directly into one another.

Probably the best-known norm value scale is the IQ scale with a mean value of 100 and a standard deviation of 15. A value of 100 means a completely normal result, from 115 one usually speaks of an above-average result, from 85 of a below-average result. Analogously, these results can also be converted into z-values, T-values, standard values ​​(SW values), value points (e.g. Wechsler scales) or the Pisa scale.

 Average Standard deviation Z-Value 0 1 T value 50 10 IQ score 100 15 SW value 100 10 Value point 10 3 Pisa scale 500 100

The situation is different with percentile ranks: They indicate how many people in the comparison group did equally well or worse. A percentile rank of 50 means that 50% did equally well or worse, while the other 50% did better. So the person is exactly on average. Higher values ​​represent an above-average result, lower values ​​a below-average result.

The standard value calculator is intended to facilitate the conversion of these different scales. You can either set values ​​with the mouse using the slider or enter them directly into the text fields. The program automatically calculates the correspondence in the other standard value scales.