Question

Mean Versus Median

1) Sarah and Andrew were comparing prices of their favorite energy bar. Eight grocery stores
sell the PR energy bar for the following prices:
$1.09 $1.29 $1.29 $1.35 $1.39 $1.49 $1.59 $1.79
Sarah claims the average price of the candy bar is $1 37 but Andrew disagreed and said the
average price of the energy bar is actually $1.41. How did Sarah and Andrew come up with these
prices? Based on their calculations, who do you think is correct and why?
My

Answer 1

Kindly check explanation

Explanation:

Given the data:

$1.09 $1.29 $1.29 $1.35 $1.39 $1.49 $1.59 $1.79

Average value :

Sarah = $1.37

Andrew = $1.41

Obtaining the median:

(n + 1) / 2

n = number of observations = 8

(8 + 1) / 2 = 9 /2 = 4.5th observation

(4th +. 5th observations) / 2

(1.35 + 1.39) / 2 = $1.37

Finding the mean:

($1.09 + $1.29 + $1.29 + $1.35 + $1.39 + $1.49 + $1.59 + $1.79) /8

$11.28 / 8

= $1.41

Hence, the actual. Average value is the mean value of the data.

The median only gives the value at the middle of the distribution and not the average.