A study of reading ability in schoolchildren chose 60 fifth-grade children at ra
ID: 3201490 • Letter: A
Question
A study of reading ability in schoolchildren chose 60 fifth-grade children at random from a school.† The main purpose of this study was to ask whether schoolchildren can estimate their own reading ability. The researchers had the children's scores on a test of reading ability. They asked each child to estimate his or her reading level, on a scale from 1 (low) to 5 (high). The figure shown below is a scatterplot of the children's estimates (response) against their reading scores (explanatory).
(c) There is one clear outlier. What is this child's self-estimated reading level?
Explanation / Answer
Answer
Clearly, the student with reading ability score of 10 but who had self-estimated at a high level of 4, is the outlier.
Explanation
Out of 14 students, who had self-estimated at 4, for 13, reading ability score ranges from 50 to 100, whereas for the outlier it is far below at 10 registering a difference of 40. Also, for all other levels of self-estimated ability, the difference between lowest reading ability score and the next reading ability score is maximum of 20 for Level 3.
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