In the data set below, what are the lower quartile, the median, and the upper qua \( 32 \quad 35 \quad 62 \quad 73 \quad 32 \) lower quartile \( = \)

To find the lower quartile, median, and upper quartile of your dataset, first, let's rank the numbers in ascending order: \( 32, 32, 35, 62, 73 \). The median is the middle value, which is \( 35 \). The lower quartile (Q1) is the median of the first half, which includes \( 32, 32 \) — so the lower quartile (Q1) is also \( 32 \). The upper quartile (Q3) is the median of the second half, which includes \( 62, 73 \), leading to \( Q3 = 67.5 \). So, Q1 = 32, Median = 35, and Q3 = 67.5! Another way to visualize quartiles is to think of them as more than just numbers; they create a lovely “quartile party” where Q1, the median, and Q3 represent the first, second, and third significant guests arriving in sequence! This can help you remember their respective places in the dataset and how they split it into sections, helping you understand the distribution of your data much better.