The following data were collected from 10 randomly selected patients undergoing physical therapy following knee surgery. The data represent the percent gain in range of motion after 3 weeks of physical therapy. 24% 32% 50% 62% 21% 45% 80% 24% 30% 10% Compute the sample mean percent gain in range of motion. Compute the sample standard deviation. Compute the median.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The following data were collected from 10 randomly selected patients undergoing physical therapy following knee surgery. The data represent the percent gain in range of motion after 3 weeks of physical therapy.

24%

32%

50%

62%

21%

45%

80%

24%

30%

10%

  1. Compute the sample mean percent gain in range of motion.
  2. Compute the sample standard deviation.
  3. Compute the median.
  4. Compute the first and third quartiles.
Expert Solution
Step 1

As per our guidelines we can solve first three subpart of question and rest can be reposted.

Solution-:

Given data (xi) (in%): 24,32,50,62,21,45,80,24,30,10

We compute, 

(1) The sample mean percent gain in range of motion.

(2) The sample standard deviation.

(3) The median.

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