QUESTION IMAGE
Question
six test scores for jonathans history class are listed. find the mean and median. round to the nearest tenth if necessary. did the mean or median give a better overall picture of jonathans performance?
100%, 75%, 84%, 86%, 66%, 43%
progress: 0/3
part 1 of 3
the mean for the six test scores is □%.
Step1: Sum all test scores
$100 + 75 + 84 + 86 + 66 + 43 = 454$
Step2: Calculate the mean
$\text{Mean} = \frac{454}{6} \approx 75.7$
Step3: Order scores for median
$43\%, 66\%, 75\%, 84\%, 86\%, 100\%$
Step4: Compute the median
$\text{Median} = \frac{75 + 84}{2} = 79.5$
Step5: Compare mean/median to performance
The low score (43%) pulls the mean down; the median is not affected by this outlier, so it better represents typical performance.
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The mean for the six test scores is $75.7\%$.
The median for the six test scores is $79.5\%$.
The median gives a better overall picture of Jonathan's performance, as the mean is skewed downward by the low outlier score of 43%.