the boxplot displays the grades (out of 30) that 26 students received on a quiz. which of the following…
the boxplot displays the grades (out of 30) that 26 students received on a quiz. which of the following statements is false? the distribution of quiz grades is skewed left. the distribution of quiz grades has an iqr of 4. the distribution of quiz grades has four outliers. the distribution of quiz grades has a center around 21.
Answer
Explanation:
Step1: Analyze skewness
The longer whisker is on the left - hand side of the box, so the distribution is skewed left.
Step2: Calculate IQR
The box represents the inter - quartile range (IQR). The lower quartile ($Q_1$) and upper quartile ($Q_3$) are such that $Q_3 - Q_1=24 - 20 = 4$.
Step3: Count outliers
The four points to the left of the boxplot are outliers.
Step4: Determine center
The median (center of the distribution) is around 21.
Answer:
All statements are true. There is no false statement among the given options.