$.map( new Array( 5 ), function() { return randRange( 12, 20 ) * 5; } ) $.map( new Array( 5 ), function() { return randRange( 12, 20 ) * 5; } ) $.map( new Array( 5 ), function( e, n ) { return FINAL[ n ] - MIDTERM[ n ]; } ) $.map( IMPROVEMENT, function( x ) { return x > 0 ? 1 : null; }).length sortNumbers(IMPROVEMENT)[4] === sortNumbers(IMPROVEMENT)[3] false

Use the graph to answer the question:

init({ range: [ [ -2, 17 ], [ -3, 11.5 ] ], scale: [ 27, 30 ] }); for ( var y = 1; y <= 10; ++y ) { label( [ 0, y ], y * 10, "left", false ); style({ stroke: "#000", strokeWidth: 1, opacity: 0.2 }, function() { line( [ 0, y ], [ 16, y ] ) }); } for ( var index = 0; index < 5; ++index ) { style({ stroke: "none", fill: "#9ab8ed", opacity: 1.0 }); path([ [ index * 3 + 1, 0 ], [ index * 3 + 1, MIDTERM[ index ] / 10 ], [ index * 3 + 2, MIDTERM[ index ] / 10 ], [ index * 3 + 2, 0 ], [ index * 3 + 1, 0 ] ]); style({ stroke: "none", fill: "#ffc966", opacity: 1.0 }); path([ [ index * 3 + 2, 0 ], [ index * 3 + 2, FINAL[ index ] / 10 ], [ index * 3 + 3, FINAL[ index ] / 10 ], [ index * 3 + 3, 0 ], [ index * 3 + 2, 0 ] ]); style({ opacity: 1.0 }); label( [ index * 3 + 2, 0 ], person( index + 1 ), "below", false ); } style({ stroke: "#000", strokeWidth: 2, opacity: 1.0 }); line( [ 0, 0 ], [ 16, 0 ] ); line( [ 0, 0 ], [ 0, 10 ] ); label( [ 8, -0.8 ], $._("Student"), "below", false ).css('font-weight', 'bold'); label( [ -1.5, 5 ], "Score (points)", "center", false ).addClass( "rotate" ) .css('font-weight', 'bold'); label( [ 8, 10.5 ], "Scores on Midterm and Final Exams", "above", false ).css('font-weight', 'bold'); style({ stroke: "none", fill: "#9ab8ed", opacity: 1.0 }); path([ [ 0, -2 ], [ 0.5, -2 ], [ 0.5, -2.5 ], [ 0, -2.5 ], [ 0, -2 ] ]); style({ stroke: "#000", strokeWidth: 2, opacity: 1.0 }); label( [ 0.5, -2.25 ], $._("Midterm"), "right", false ); style({ stroke: "none", fill: "#ffc966", opacity: 1.0 }); path([ [ 3, -2 ], [ 3.5, -2 ], [ 3.5, -2.5 ], [ 3, -2.5 ], [ 3, -2 ] ]); style({ stroke: "#000", strokeWidth: 2, opacity: 1.0 }); label( [ 3.5, -2.25 ], $._("Final"), "right", false );
Math.max.apply( Math, IMPROVEMENT ) _.indexOf( IMPROVEMENT, BEST_IMPROVEMENT ) person( MOST_IMPROVED_IDX + 1 )

Which student's score improved the most between the midterm and final exams?

MOST_IMPROVED

- person( 1 )
- person( 2 )
- person( 3 )
- person( 4 )
- person( 5 )

person( INDEX + 1 )'s final exam bar is taller than his midterm bar, so person( INDEX + 1 ) improved his score. His midterm score was `MIDTERM[ INDEX ]` and his final exam score was `FINAL[ INDEX ]`, so he improved by `IMPROVEMENT[ INDEX ]` points.

person( INDEX + 1 )'s final exam bar is taller than her midterm bar, so person( INDEX + 1 ) improved her score. Her midterm score was `MIDTERM[ INDEX ]` and her final exam score was `FINAL[ INDEX ]`, so she improved by `IMPROVEMENT[ INDEX ]` points.

style({ stroke: GREEN, strokeWidth: 2, arrows: "->" }); line( [ INDEX * 3 + 1.5, MIDTERM[ INDEX ] / 10 ], [ INDEX * 3 + 2.5, FINAL[ INDEX ] / 10 ] ); label( [ INDEX * 3 + 1.5, MIDTERM[ INDEX ] / 10 + 0.2 ], MIDTERM[ INDEX ], "below", false ).css({ fontWeight: "bold" }); label( [ INDEX * 3 + 2.5, FINAL[ INDEX ] / 10 - 0.2 ], FINAL[ INDEX ], "above", false ).css({ fontWeight: "bold" });

person( INDEX + 1 )'s final exam bar is shorter than his midterm bar, so person( INDEX + 1 ) did not improve his score.

person( INDEX + 1 )'s final exam bar is shorter than her midterm bar, so person( INDEX + 1 ) did not improve her score.

style({ stroke: "grey", strokeWidth: 2, arrows: "->" }); line( [ INDEX * 3 + 1.5, MIDTERM[ INDEX ] / 10 ], [ INDEX * 3 + 2.5, FINAL[ INDEX ] / 10 ] );

person( INDEX + 1 )'s final exam bar is the same height as his midterm bar, so person( INDEX + 1 ) did not improve his score.

person( INDEX + 1 )'s final exam bar is the same height as her midterm bar, so person( INDEX + 1 ) did not improve her score.

MOST_IMPROVED improved his score the most, scoring `BEST_IMPROVEMENT` more points on his final exam than on his midterm.

MOST_IMPROVED improved her score the most, scoring `BEST_IMPROVEMENT` more points on her final exam than on her midterm.

randRange( 0, 4 ) person( INDEX + 1 )

By how many points did STUDENT's score improve from the midterm to the final exam?

IMPROVEMENT[ INDEX ] points

Find the two bars for STUDENT.

style({ stroke: PINK, fill: "none", strokeWidth: 2 }); ellipse( [ INDEX * 3 + 2, -0.6 ], [ 1.2, 0.5 ] );

Compare the height of STUDENT's blue bar to the scale on the left to find his midterm score. The bar's height is halfway between `MIDTERM[ INDEX ] - 5` and `MIDTERM[ INDEX ] + 5`, so STUDENT earned `MIDTERM[ INDEX ]` points on the midterm.

Compare the height of STUDENT's blue bar to the scale on the left to find her midterm score. The bar's height is halfway between `MIDTERM[ INDEX ] - 5` and `MIDTERM[ INDEX ] + 5`, so STUDENT earned `MIDTERM[ INDEX ]` points on the midterm.

style({ stroke: BLUE, strokeWidth: 2, arrows: "->", strokeDasharray: "-" }); line( [ INDEX * 3 + 1, MIDTERM[ INDEX ] / 10 ], [ 0, MIDTERM[ INDEX ] / 10 ] );

Compare the height of STUDENT's orange bar to the scale on the left to find his final exam score. The bar's height is halfway between `FINAL[ INDEX ] - 5` and `FINAL[ INDEX ] + 5`, so STUDENT earned `FINAL[ INDEX ]` points on the final exam.

Compare the height of STUDENT's orange bar to the scale on the left to find her final exam score. The bar's height is halfway between `FINAL[ INDEX ] - 5` and `FINAL[ INDEX ] + 5`, so STUDENT earned `FINAL[ INDEX ]` points on the final exam.

style({ stroke: ORANGE, strokeWidth: 2, arrows: "->", strokeDasharray: "-" }); line( [ INDEX * 3 + 2, FINAL[ INDEX ] / 10 ], [ 0, FINAL[ INDEX ] / 10 ] );

Subtract the midterm score from the final exam score to find out how much STUDENT improved.

`\color{ORANGE}{FINAL[ INDEX ]} - \color{#6495ED}{MIDTERM[ INDEX ]} = IMPROVEMENT[ INDEX ]`, so STUDENT improved by `IMPROVEMENT[ INDEX ]` points from the midterm to the final exam.

randRange( 0, 4 ) person( INDEX + 1 ) randRange( 0, 1 ) [ $._("midterm"), $._("final exam") ][ COLUMN ] COLUMN === 0 ? MIDTERM[ INDEX ] : FINAL[ INDEX ]

How many points did STUDENT earn on the TEST?

ANSWER points

Find the two bars for STUDENT.

style({ stroke: PINK, fill: "none", strokeWidth: 2 }); ellipse( [ INDEX * 3 + 2, -0.6 ], [ 1.2, 0.5 ] );

Use the key to figure out which of the two bars shows the score for the TEST.

style({ stroke: PINK, fill: "none", strokeWidth: 2 }); ellipse( [ COLUMN * 3 + 1.2, -2.25 ], [ 1.5, 0.5 ] );

Compare the height of STUDENT's blueorange bar to the scale on the left.

style({ stroke: PINK, strokeWidth: 2, arrows: "->", strokeDasharray: "-" }); line( [ INDEX * 3 + 1 + COLUMN, ANSWER / 10 ], [ 0, ANSWER / 10 ] );

The bar's height is halfway between `ANSWER - 5` and `ANSWER + 5`, so STUDENT earned `ANSWER` points on the TEST.

STUDENT earned `ANSWER` points on the TEST.

How many students improved their scores from the midterm to the final exam?

NUM_IMPROVED students

person( INDEX + 1 )'s final exam bar is taller than his midterm bar, so person( INDEX + 1 ) improved his score.

person( INDEX + 1 )'s final exam bar is taller than her midterm bar, so person( INDEX + 1 ) improved her score.

style({ stroke: "grey", strokeWidth: 2, arrows: "->" }); line( [ INDEX * 3 + 1.5, MIDTERM[ INDEX ] / 10 ], [ INDEX * 3 + 2.5, FINAL[ INDEX ] / 10 ] );

person( INDEX + 1 )'s final exam bar is shorter than his midterm bar, so person( INDEX + 1 ) did not improve his score.

person( INDEX + 1 )'s final exam bar is shorter than her midterm bar, so person( INDEX + 1 ) did not improve her score.

person( INDEX + 1 )'s final exam bar is the same height as his midterm bar, so person( INDEX + 1 ) did not improve his score.

person( INDEX + 1 )'s final exam bar is the same height as her midterm bar, so person( INDEX + 1 ) did not improve her score.

Count the number of students who improved their scores.

`NUM_IMPROVED` students improved their scores from the midterm to the final exam.