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QuestionFour boys have heights of 152.0 cm,150.75 cm,149.5 cm152.0 \mathrm{~cm}, 150.75 \mathrm{~cm}, 149.5 \mathrm{~cm}, and 149.25 cm149.25 \mathrm{~cm}. Find Mark's height.

Studdy Solution

STEP 1

Assumptions1. The heights of the four boys are152.0 cm,150.75 cm,149.5 cm, and149.25 cm. . Bradley is the tallest.
3. Calvin is taller than Josh but shorter than Mark.
4. Josh is the shortest.

STEP 2

From the assumptions, we know that Bradley is the tallest. Therefore, Bradley's height is the maximum value among the given heights.
Bradley′s height=max(152.0 cm,150.75 cm,149.5 cm,149.25 cm)Bradley's\, height = max(152.0\, cm,150.75\, cm,149.5\, cm,149.25\, cm)

STEP 3

Calculate Bradley's height.
Bradley′s height=max(152.0 cm,150.75 cm,149.5 cm,149.25 cm)=152.0 cmBradley's\, height = max(152.0\, cm,150.75\, cm,149.5\, cm,149.25\, cm) =152.0\, cm

STEP 4

We also know from the assumptions that Josh is the shortest. Therefore, Josh's height is the minimum value among the given heights.
Josh′s height=min(152.0 cm,150.75 cm,149. cm,149.25 cm)Josh's\, height = min(152.0\, cm,150.75\, cm,149.\, cm,149.25\, cm)

STEP 5

Calculate Josh's height.
Josh′s height=min(152.0 cm,150.75 cm,149.5 cm,149.25 cm)=149.25 cmJosh's\, height = min(152.0\, cm,150.75\, cm,149.5\, cm,149.25\, cm) =149.25\, cm

STEP 6

Now, we know that Calvin is taller than Josh but shorter than Mark. Therefore, Calvin's height is the second smallest value among the given heights.
Calvin′s height=second min(152.0 cm,150.75 cm,149.5 cm,149.25 cm)Calvin's\, height = second\, min(152.0\, cm,150.75\, cm,149.5\, cm,149.25\, cm)

STEP 7

Calculate Calvin's height.
Calvin′s height=second min(152.0 cm,150.75 cm,149.5 cm,149.25 cm)=149.5 cmCalvin's\, height = second\, min(152.0\, cm,150.75\, cm,149.5\, cm,149.25\, cm) =149.5\, cm

STEP 8

Finally, we know that Mark is taller than Calvin but shorter than Bradley. Therefore, Mark's height is the second largest value among the given heights.
Mark′s height=second max(152.0 cm,150.75 cm,149.5 cm,149.25 cm)Mark's\, height = second\, max(152.0\, cm,150.75\, cm,149.5\, cm,149.25\, cm)

STEP 9

Calculate Mark's height.
Mark′s height=second max(152. cm,150.75 cm,149.5 cm,149.25 cm)=150.75 cmMark's\, height = second\, max(152.\, cm,150.75\, cm,149.5\, cm,149.25\, cm) =150.75\, cmMark's height is150.75 cm.

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