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Question

The 22 students in a health class conducted an experiment in which they each recorded their pulse rates, in beats per minute, before and after completing a light exercise routine. The dot plots below display the results.

Let $s subscript 1$ and $T subscript 1$ be the standard deviation and range, respectively, of the data before exercise, and let $s subscript 2$ and $r subscript 2$ be the standard deviation and range, respectively, of the data after exercise. Which of the following is true?

$s_{1} = s_{2} and r_{1} = r_{2}$
$s_{1} < s_{2} and r_{1} < r_{2}$
$s_{1} > s_{2} and r_{1} > r_{2}$
$s_{1} \neq s_{2} and r_{1} = r_{2}$

hint Hint:

Range of a dataset = Max value of the dataset – Min value of the dataset.

The correct answer is: $s subscript 1 equals s subscript 2 text and end text r subscript 1 equals r subscript 2$

Step 1 of 2:
In case of before exercise, max value = 88 and min value = 56. Hence, range is (88-56) = 32.
In case of after exercise, max value = 112 and min value = 80. Hence, range is (112-80) = 32.
So, for both the cases, the range is same, viz. r₁ = r₂.
Step 2 of 2:
Now, if we carefully observe the spread of the data from the mean given in the dot plots seem to be equal because their ranges are equal. Hence, the standard deviations are same.
So, we have s₁ = s₂.
Final Answer:
The correct choice is— A) s₁ = s₂ and r₁ = r₂.

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-2(x-5)≥-2x+10

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Solve each inequality and tell whether it has infinitely many or no solution:
0.5x+8<2x-4

Note:
A linear inequality could possibly have infinite number of solutions. But it is not necessary that it should be true for every inequality.

Solve each inequality and tell whether it has infinitely many or no solution:
0.5x+8<2x-4

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A linear inequality could possibly have infinite number of solutions. But it is not necessary that it should be true for every inequality.

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In the $x y.$ -plane, the point $left parenthesis p comma r right parenthesis$ lies on the line with equation $y equals x plus b$ , where b is a constant. The point with coordinates $left parenthesis 2 p comma 5 r right parenthesis$ lies on the line with equation $y equals 2 x plus b$ . If $p not equal to 0$ , what is the value of $r over p$ ?

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$negative x plus y equals negative 3.5$
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If (x, y) satisfies the system of equations above, what is the value of y ?

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Solve each inequality and tell whether it has infinitely many or no solution:
$fraction numerator 3 x over denominator 4 end fraction plus 3 over 4 minus 0.5 x greater or equal than negative 1$

Note:
You can solve any linear inequality by graphing them.

Solve each inequality and tell whether it has infinitely many or no solution:
$fraction numerator 3 x over denominator 4 end fraction plus 3 over 4 minus 0.5 x greater or equal than negative 1$

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You can solve any linear inequality by graphing them.

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Which of the following equations relates y to x for the values in the table above?

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Solve each inequality and graph the solution:
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Range of a dataset = Max value of the dataset – Min value of the dataset.

The correct answer is:

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The correct answer is: $s subscript 1 equals s subscript 2 text and end text r subscript 1 equals r subscript 2$

Solve each inequality and tell whether it has infinitely many or no solution :
-2(x-5)≥-2x+10

Solve each inequality and tell whether it has infinitely many or no solution :
-2(x-5)≥-2x+10

Solve each inequality and tell whether it has infinitely many or no solution:
0.5x+8<2x-4

Solve each inequality and tell whether it has infinitely many or no solution:
0.5x+8<2x-4

One pound of grapes costs $straight $ 2$ . At this rate, how many dollars will c pounds of grapes cost?

One pound of grapes costs $straight $ 2$ . At this rate, how many dollars will c pounds of grapes cost?

Triangles ABC and DEF are shown above. Which of the following is equal to the ratio $fraction numerator B C over denominator A B end fraction$ ?

Triangles ABC and DEF are shown above. Which of the following is equal to the ratio $fraction numerator B C over denominator A B end fraction$ ?

Solve each inequality and tell whether it has infinitely many or no solution:
-2x-5≥3x-25

Solve each inequality and tell whether it has infinitely many or no solution:
-2x-5≥3x-25

Solve each inequality and tell whether it has infinitely many or no solution:
7.2x+6≤2.4x

Solve each inequality and tell whether it has infinitely many or no solution:
7.2x+6≤2.4x

Solve each inequality and tell whether it has infinitely many or no solution:
4(3-2x)≥-4

Solve each inequality and tell whether it has infinitely many or no solution:
4(3-2x)≥-4

Solve each inequality and tell whether it has infinitely many or no solution:
-2(2x+1)<24

Solve each inequality and tell whether it has infinitely many or no solution:
-2(2x+1)<24

Solve each inequality and tell whether it has infinitely many or no solution:
$0.25 x plus 3 minus fraction numerator 7 x over denominator 8 end fraction less than negative 2$

Solve each inequality and tell whether it has infinitely many or no solution:
$0.25 x plus 3 minus fraction numerator 7 x over denominator 8 end fraction less than negative 2$

$negative x plus y equals negative 3.5$
$x plus 3 y equals 9.5$
If (x, y) satisfies the system of equations above, what is the value of y ?

$negative x plus y equals negative 3.5$
$x plus 3 y equals 9.5$
If (x, y) satisfies the system of equations above, what is the value of y ?

Solve each inequality and tell whether it has infinitely many or no solution:
$fraction numerator 3 x over denominator 4 end fraction plus 3 over 4 minus 0.5 x greater or equal than negative 1$

Solve each inequality and tell whether it has infinitely many or no solution:
$fraction numerator 3 x over denominator 4 end fraction plus 3 over 4 minus 0.5 x greater or equal than negative 1$

Solve each inequality and graph the solution:
-2(x-5)≥-3x-14

Solve each inequality and graph the solution:
-2(x-5)≥-3x-14