Students from two age groups were surveyed to see how they travel to school. Here are the results: Below age 15—Walk or bike: 87; Bus: 60; Car: 18
Age 15 and above—Walk or bike: 65; Bus: 50; Car: 80

Which of the following is a correct two-way relative frequency table for the data?

Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?

Which property is illustrated by the statement given below? raj raj.

According to the data set, where should the upper quartile line of the box plot be placed?