Question

1. a group of students has taken a test. the lowest score was 13, the highest score was 92, and the median score was 57. which statement is true? click on the statement that correctly answers the question. the interquartile range is 79. 75% of the scores are lower than 92. the first quartile is 44 and the third quartile is 35. the range is 79.

Explanation:

Step1: Calculate the range

The range is calculated by subtracting the lowest value from the highest value.
$$\text{Range}=92 - 13$$
$$\text{Range}=79$$

Step2: Analyze other options

• For inter - quartile range: We don't have enough information (values of \(Q_1\) and \(Q_3\)) to calculate it. The formula for inter - quartile range is \(IQR = Q_3-Q_1\).
• For the statement “75% of the scores are lower than 92”: The highest score is 92. So 100% of the scores are less than or equal to 92.
• For the first and third quartile: \(Q_1\) (first quartile) should be less than \(Q_3\) (third quartile). But \(44>35\) which is wrong.

Answer:

The range is 79.