Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. which of the statements below is true for the following set of numbers? 42, 10, 36, 51, 70, 28 the range is 14 and the midrange is 35. the range is larger than the midrange. the range is 60 and the midrange is 30. the range is 70 and the midrange is 39.

Explanation:

Step1: Calculate the range

The range is the difference between the maximum and minimum values.
For the set \(42, 10, 36, 51, 70, 28\), the maximum value \(M = 70\) and the minimum value \(m=10\).
The range \(R = M - m=70 - 10=60\).

Step2: Calculate the mid - range

The mid - range is the average of the maximum and minimum values.
The mid - range \(MR=\frac{M + m}{2}=\frac{70+10}{2}=\frac{80}{2}=40\).
Now let's check each option:

• Option 1: Range \(=14\) (wrong as we calculated range \( = 60\)), mid - range \(=35\) (wrong as mid - range \(=40\)).
• Option 2: Range \(R = 60\), mid - range \(MR = 40\). Since \(60>40\), this option is correct.
• Option 3: Range \(=60\) (correct), mid - range \(=30\) (wrong as mid - range \(=40\)).
• Option 4: Range \(=70\) (wrong as range \(=60\)), mid - range \(=39\) (wrong as mid - range \(=40\)).

Answer:

The range is larger than the midrange.