Maggie attends Happy Days preschool. The preschool assessed the children’s motor

Question

Maggie attends Happy Days preschool. The preschool assessed the children’s motor skills (i.e. the ability to tie their shoes), social skills (i.e. sharing and saying please) and school readiness (i.e. knowledge of ABC’s & basic counting ability). The motor skills test has a class mean of 6.00 with a standard deviation of 1.00. The social skills test has a class mean of 10.00 with a standard deviation of 2.00. The school readiness test has a class mean of 16.00 with a standard deviation of 4.00. For each test higher score means better performance of that skill. Maggie’s parents are given a report card that indicate Maggie’s Z scores on each test which are motor skills = -0.32, social skills = 1.50 & school readiness = 0.00.

What percentage of her class scored higher than Maggie on the social skills test?

What percentage of her class scored lower than Maggie on the motor skills test?

What percentage of her class scored higher than Maggie on the school readiness test?

For which skill was the class average highest?

For which skill did the class have the highest variability?

Explanation / Answer

1. 6.68 percentage of her class scored higher than Maggie on the social skills test.
2. 37.45 percentage of her class scored lower than Maggie on the motor skills test.
3. 50 percentage of her class scored higher than Maggie on the school readiness test.
4. The class average was the highest in the motor skills test.

5. The class have the highest variability for the motor skills test.

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