The percentage of cotton in material used to manufacture men's shirts follows. Calculate the sample median, mode, and mean for these data. Choose the correct answer. 33.6 37.0 34.0 32.1 33.5 35.6 34.9 35.4 32.2 36.1 34.7 32.4 33.9 36.8 32.3 33.7 34.8 36.9 34.4 33.5 33.5 37.5 32.6 34.9 35.8 32.9 35.0 37.2 35.3 35.2 32.7 33.2 36.9 34.7 36.9 33.9 34.7 36.0 34.0 35.1 34.0 36.5 36.8 32.1 35.9 32.6 36.0 36.7 34.1 34.2 35.9 32.9 34.8 32.3 36.8 35.0 32.0 36.0 33.4 34.8 33.6 34.7 36.2 33.1

Sample Median = 34.7 percent

Sample Mode = 34.7 percent

Sample Mean = 34.63 percent

Step-by-step explanation:

33.6 37.0 34.0 32.1 33.5 35.6 34.9 35.4 32.2 36.1 34.7 32.4 33.9 36.8 32.3 33.7 34.8 36.9 34.4 33.5 33.5 37.5 32.6 34.9 35.8 32.9 35.0 37.2 35.3 35.2 32.7 33.2 36.9 34.7 36.9 33.9 34.7 36.0 34.0 35.1 34.0 36.5 36.8 32.1 35.9 32.6 36.0 36.7 34.1 34.2 35.9 32.9 34.8 32.3 36.8 35.0 32.0 36.0 33.4 34.8 33.6 34.7 36.2 33.1

The sample median is the variable in the middle of the distribution when the variables are arranged in ascending or descending order.

If the number of variables in the data set is even (like in this case), the average of the two numbers in the middle is obtained and used.

So, arranging the numbers in ascending order

32.0, 32.1, 32.1, 32.2, 32.3, 32.3, 32.4, 32.6, 32.6, 32.7, 32.9, 32.9, 33.1, 33.2, 33.4, 33.5, 33.5, 33.5, 33.6, 33.6, 33.7, 33.9, 33.9, 34.0, 34.0, 34.0, 34.1, 34.2, 34.4, 34.7, 34.7, 34.7, 34.7, 34.8, 34.8, 34.8, 34.9, 34.9, 35.0, 35.0, 35.1, 35.2, 35.3, 35.4, 35.6, 35.8, 35.9, 35.9, 36.0, 36.0, 36.0, 36.1, 36.2, 36.5, 36.7, 36.8, 36.8, 36.8, 36.9, 36.9, 36.9, 37.0, 37.2, 37.5

The median is the average of the 32nd and 33rd numbers.

Sample median = (34.7+34.7)/2

Sample Median = 34.7 percent

B) The Sample Mode.

The mode is the variable that occurs the most in the dataset. The variable with the highest frequency.

On examining this data set, that is obtained to be 34.7 which occurs four times. (Highest frequency).

C) The Sample mean

The mean is the sum of all variables, divided by the total number of variables in a data set.

Sum of all the variables = 2216.2

Number of variables = 64

Sample mean = (2216.2/64)

Sample Mean = 34.63 percent

Hope this Helps!!!

12.5 feet

step-by-step explanation: