Comparison of Mean and Median for Two Groups

A researcher conducts an experiment measuring the time (in seconds) taken by two different groups of participants to complete a puzzle. Group 1 consists of 10 participants with individual completion times: 32, 34, 30, 45, 38, 37, 40, 35, 33, 36. Group 2 consists of 15 participants with individual completion times: 50, 55, 48, 52, 60, 58, 54, 49, 53, 57, 59, 61, 56, 62, 63.

The researcher calculates the mean and median times for both groups and finds that the mean time of Group 1 is calculated as follows:

$$ ext{Mean}_{ ext{Group 1}} =\frac{32 + 34 + 30 + 45 + 38 + 37 + 40 + 35 + 33 + 36}{10} $$

For Group 2, the mean time is calculated as:

$$ ext{Mean}_{ ext{Group 2}} =\frac{50 + 55 + 48 + 52 + 60 + 58 + 54 + 49 + 53 + 57 + 59 + 61 + 56 + 62 + 63}{15} $$

After calculating the means, the researcher also finds the median for both groups to ensure comprehensive data analysis. Based on this information, compare the calculated means and medians of both groups: