Ms. Barnsley separates her class into two groups. She gives each student the same 25-question math quiz. Group A uses a calculator, while Group B does not. The table shows the completion times, in minutes, of students in each group. Which statement is true about the distributions of completion times?

The students in Group A tended to complete the quiz in less time.
The median of Group A is greater than the median of Group B.
The means of both groups are about the same.
The standard deviation of Group B is less than the standard deviation of Group A.

The median of Group A is greater than the median of Group B.

Step-by-step explanation:

Given

Required

Which of the options is true

(a) Group A complete in less time

To do this, we calculate the average of both using:

Where

So, we have:

The average time of Group A is higher than that of B, this means that Group A spend more time, on average.

(b) Group A has a greater median

First, we sort the given data in ascending order

The median is then calculated using:

This gives:

The median is the fifth item for both groups.

So, we have:

4.7 is greater than 4.3

Hence, (b) is true

Since (b) is true and only one option is correct, then (c) and (d) are incorrect

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