Answer:
Question
Given μ=110 and σ=10 in a college entrance examination, find the corresponding z-value of the scores gained by the following students. Show all the solutions and sketch it graph.
1. X=98
2. X=65
3. X=120
4. X=74
5. X=135
check_circle
Expert Answer
Step 1
Given Information:
Mean μ=110μ=110
Standard deviation σ=10σ=10
Z-score is a measure which indicates how many standard deviations away, a data value is, from the mean. It is given by the formula:
z=X−μσz=X-μσ
1) Z-score for X = 98:
z=98−11010=−1.2z=98-11010=-1.2
This, means that X = 98 is 1.2 standard deviations below the mean.
