1. the players on a basketball team are the following heights (in inches): 72, 68, 77, 68, 71, 70, 75, and…

1. the players on a basketball team are the following heights (in inches): 72, 68, 77, 68, 71, 70, 75, and 67. find the median, mode and range of the given heights.
Answer
Explanation:
Step1: Arrange data in ascending order
$67, 68, 68, 70, 71, 72, 75, 77$
Step2: Find the median
There are 8 data - points. The median is the average of the 4th and 5th ordered values. So, median=$\frac{70 + 71}{2}=70.5$
Step3: Find the mode
The mode is the value that appears most frequently. Here, 68 appears twice and other values appear once, so mode = 68.
Step4: Find the range
Range=Maximum value - Minimum value. Maximum value = 77, minimum value = 67. So, range=$77−67 = 10$
Answer:
Median: 70.5, Mode: 68, Range: 10