Question

fatima conducted an experiment where she asked people to estimate the temperature of glasses of water. she recorded how far the estimates were from the actual temperatures, using positive values for guesses that were too high and negative values for guesses that were too low. her results are in the table below.
estimate - actual temperature (°c)
person a person b person c
-3 4 8
-1 -4 -2
0 2 5
2 -3 1
what is the mean value in fatimas results?

Explanation:

Step1: Count data points

There are 3 columns and 4 rows, so $n = 3\times4=12$ data - points.

Step2: Sum all data points

$(- 3)+4 + 8+( - 1)+( - 4)+( - 2)+0 + 2+5+2+( - 3)+1$
$=(-3 - 1-4 - 2-3)+(4 + 8+2+5+2+1)$
$=-13 + 22=9$.

Step3: Calculate the mean

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, so $\bar{x}=\frac{9}{12}=\frac{3}{4}=0.75$.

Answer:

$0.75$