Question

type the correct answer in the box. use numerals instead of words. consider this data set. 20.5 24.2 18.3 16.3 27 25.5 21 19.8 27.3 18.4 20.5 17.6 25.5 23.4 20.2 use the data to complete this statement. any non-integer answers should be entered as decimals, rounded to the tenths place. the mean of the data set is , and the sample proportion of numbers less than the mean is %.

Answer 1

The mean of the data set is 21.7, and the sample proportion of numbers less than the mean is 60%.

Given the data set which is shown in the attached image.

The mean of a data set is the sum of all values ​​divided by the total number of values. This is the most commonly used measure of central tendency and is often referred to as the "average".

Firstly, we will calculate the mean of given data by adding the all data sets and dividing by number of data sets, we get

mean=sum of data set/ number of data set

mean=/(20.5+24.2+18.3+16.3+27+25.5+21+19.8+27.3+18.4+20.5+17.6+25.5+23.4+20.2)/15

mean=325.5/15

mean=21.7

Now, we will find the sample proportion of numbers less than the mean is writing the given data in ascending order and separate the data set when data set is less than mean and data set greater than mean.

data set less than mean is 16.3,17.6,18.3,18.4,19.8,20.2,20.5,20.5,21

data set greater than mean is 23.4,24.2,25.5,25.5,27,27.3

The number less than mean is 9 numbers.

Thus, the sample proportion of numbers less than the mean in percentage is

(9/15)×100=60%.

Hence, for the given data set the mean of the data set is 21.7, and the sample proportion of numbers less than the mean is 60%.

Learn more about the mean and sample proportion from here brainly.com/question/9093259

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