hard · GRE Quant
The ordered measurements in a wildlife-population census are 8, 10, 11, 13, 15, 17, 20, 22, 26. Using the median-of-halves convention and excluding the overall median, the interquartile range is 10.5. Suppose the largest value, 26, is replaced by 52, a reading recorded far outside the normal range. Which of the following statistics is unaffected by this change?
- Interquartile range
- Arithmetic mean of all nine values
- Full range (max minus min)
- Recorded maximum value
- Standard deviation of the sample
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