A college runs a mathematics course in the morning. Scores for a test from this class are shown below. 25 33 51 62 63 63 70 74 79 79 81 88 90 90 98 For these data, the lower quartile is 62 and the upper quartile is 88. The box and whisker diagram showing these scores is given below. Another mathematics class is run by the college during the evening. A box and whisker diagram showing the scores from this class for the same test is given below. A researcher reviews the box and whisker diagrams and believes that the evening class performed better than the morning class.

$(88-62) \times 1.5$ OR $26 \times 1.5$ seen anywhere OR 39 seen anywhere (M1) $62-39$ 23 $25>23 \quad R1$ so is not an outlier AG

The median score for the evening class is higher than the median score for the morning class.

THEN

but the scores are more spread out in the evening class than in the morning class OR the scores are more inconsistent in the evening class A1 OR the lowest scores are in the evening class A1 OR the interquartile range is lower in the morning class A1 OR the lower quartile is lower in the evening class A1 Note: If an incorrect comparison is also made, award at most A1AO. Award $\boldsymbol{A0}$ for a comparison that references "the mean score" unless working is shown for the estimated means of the data sets, calculated from the mid-points of the 4 intervals. The estimated mean for the morning class is 71.375 and the estimated mean for the evening class is 70.5.