Question 23 (multiple answer) Two groups of similarly performing students took t

Question

Question 23 (multiple answer) Two groups of similarly performing students took the same test. One group was allowed to use calculators, anc the other group was not. The scores of the students are displayed in the following box-and-whisker plots. using GeoGebra. Which statementrs) accurately d atementrs) accurately describets) the data shown in the plot? The re may be than one correct answer. Select all that apply The group of students without calculators has a higher median and The group of students without calculators generally performed better than the group of students with Calculators. The group of students with calculators has a higher median and a smaller spread than the aroup chtudents without calculates The shapes of both groups have a left-skewed distribution. a smaller spread than the group of students with cal er than the group of students with caiculators The shapes of both groups have a right-skewed distribution.

Explanation / Answer

Spredness refers to the spread of the data or how spread our data is. We can see from the diagram that the students without calculator have higher spread than that with calculators.

Secondly, the median is the second quartile which is shown by a line in the middle box..We can see that with calculator students have a higher median. Hence option C

Skewness tells us which side the data is skewed z If more of the data is on left sode of the median, the data is left skewed and right skewed is more data is on the right.Hence, we can say both the diagram are left skewed. Hence option D

Lesser spreadness and higher median are indicators of better performance hence option f

Hence option C, D and F are correct

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