Question

BICPPStatistics: Assignment 2.05Name:We asked 10 randomly selected students in a Speech and Debate class how manycollege courses they had passed prior to taking this class. Their responses areshown below. Find the sample mean and the median.4, 8, 14, 7, 0, 8, 2, 10, 3, 12

Answer 1

The rule of the mean is

`Mean=(Sum)/(No.)`

We will find the sum of the given numbers, then divide it by how many numbers

The given numbers are

4, 8, 14, 7, 0, 8, 2, 10, 3, 12

Their sum = 68

There are 10 numbers, then

`Mean=(68)/(10)=6.8`

To find the median we have to arrange the numbers from smallest to greatest, then take the middle number

0, 2, 3, 4, 7, 8, 8, 10, 12, 14

Since there are 10 numbers, then there are 2 numbers in the middle

Then we will find their average by adding them and dividing their sum by 2

The 2 middle numbers are the 5th and the 6th positions

The 2 middle numbers are 7 and 8

`Median=(7+8)/(2)=7.5`

The answers are:

Sample mean = 6.8

The median = 7.5