Question

the heights, in feet, of 10 lighthouses: {136, 107, 140, 60, 146, 95, 82, 101, 115, 85}
minimum: 60
lower quartile:
median:
upper quartile:
maximum: 146

Explanation:

Step1: Arrange data in ascending order

{60, 82, 85, 95, 101, 107, 110, 115, 136, 146}

Step2: Find the minimum

The minimum value is the smallest number in the set, which is 60.

Step3: Find the maximum

The maximum value is the largest number in the set, which is 146.

Step4: Find the median

Since there are 10 data - points (an even number of data - points), the median is the average of the 5th and 6th ordered values. $\text{Median}=\frac{101 + 107}{2}=104$.

Step5: Find the lower quartile

The lower half of the data is {60, 82, 85, 95, 101}. Since there are 5 data - points (an odd number), the lower quartile ($Q_1$) is the 3rd value, which is 85.

Step6: Find the upper quartile

The upper half of the data is {107, 110, 115, 136, 146}. Since there are 5 data - points (an odd number), the upper quartile ($Q_3$) is the 3rd value of the upper half, which is 115.

Answer:

Minimum: 60
Lower Quartile: 85
Median: 104
Upper Quartile: 115
Maximum: 146