Page 401 - Math Smart - 7
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Range
The range of the scores for Maths is The range of the scores for English
This tells us that the pupils achieved scores in Maths but a
range of scores In English. The teacher can deduce that the
ability of the pupils are about the for Maths, but
for English.
Mean
The Maths scores range
from 74 to 81. These
79 + 79 + 76 + 76 + 74 + 79 4- 81 + 79 + 77 + 80 -
10 scores are close to the
mean.
The mean for Maths is
The English scores range
from 64 to 102. These
67 + 74 + 100 4- 68 + 67 + 83 + 70 + 84 4-102 + 64 ,
scores are not close to the
10
mean.
The mean for English is
Both the means are
But does this mean the pupils scored almost the same marks for both tests?
Are the pupils' individual scores close to the mean? Is the mean a good gauge
for the Maths or the English test?
Median
The median for Maths is The median for English is
74, 76, 76, 77,(^9^ 79, 79, 80, 81 64, 67, 67, 68, (^0^83, 85, 100, 102
median median
The median for the English scores is than the median for the
Maths scores.
Difference between mean and median for Maths =
Difference between mean and median for English =
The larger the discrepancy between the median and mean for the English test
tells the teacher that the mean for English scores is not reliable.
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