Given a data set {25, 28, 32, 35, 40}. What is the midhinge of the data set?
Answer
Step 3: Calculate the midhinge. The midhinge is the average of the first and third quartiles. So, we calculate it using the formula \(\frac{Q1 + Q3}{2}\). So, \(\frac{28 + 35}{2} = 31.5\).
Step 1 ：Step 1: Find the first quartile(Q1). To do this, we sort the data set in ascending order and find the median of the first half of the data set. For our data set, the first quartile is 28.
Step 2 ：Step 2: Find the third quartile(Q3). This is the median of the second half of the data set. For our data set, the third quartile is 35.
Step 3 ：Step 3: Calculate the midhinge. The midhinge is the average of the first and third quartiles. So, we calculate it using the formula \(\frac{Q1 + Q3}{2}\). So, \(\frac{28 + 35}{2} = 31.5\).
