Question

part 1 of 3
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 score for jonathans performance?
100%, 75%, 84%, 86%, 66%, 43%
the mean for the six test scores is 75.7%.
correct answer:
the mean for the six test scores is 75.7%.
progress: 1/3

Explanation:

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: Find the median

$\text{Median} = \frac{75 + 84}{2} = 79.5$

Step5: Compare mean/median relevance

The low score 43% skews the mean down; the median is less affected by outliers, so it better represents typical performance.

Answer:

Mean: $75.7\%$
Median: $79.5\%$
The median gives a better overall score for Jonathan's performance, as the low outlier score of 43% distorts the mean.