Question

find the 5 - number summary of the following: 60, 56, 43, 35, 62, 71, 65
minimum: 35
lower quartile (q1):
median:
upper quartile (q3):
maximum: 71

Explanation:

Step1: Arrange data in ascending order

35, 43, 56, 60, 62, 65, 71

Step2: Find the median

There are 7 data - points. The median is the 4th value when data is ordered. So, Median = 60.

Step3: Find the lower half

The lower half of the data is 35, 43, 56. The median of the lower half is the lower - quartile (Q1). Since there are 3 values, Q1 is the 2nd value, so Q1 = 43.

Step4: Find the upper half

The upper half of the data is 62, 65, 71. The median of the upper half is the upper - quartile (Q3). Since there are 3 values, Q3 is the 2nd value, so Q3 = 65.

Answer:

Lower Quartile (Q1): 43
Median: 60
Upper Quartile (Q3): 65