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 -−minus actual temperature (\degree\text{C})(°C)left parenthesis, degree, start text, C, end text, right parenthesis
Person A Person B Person C
-3−3minus, 3 444 888
-1−1minus, 1 -4−4minus, 4 -2−2minus, 2
000 222 555
222 -3−3minus, 3 111
What is the mean value in Fatima's results?

Answer 1

The mean value is the sum of the temperature values divided by the total frequency. Hence, the mean value in Fatima's temperature result is -0.75°C

Given the data :

Person 1 :

• -3, - 1, 0, 2,

• Sum = (-3 + (-1) + 0 + 2) = - 2

Person 2 :

• 4, -4, 2, - 3

• Sum = (4 + (-4) + 2 + (-3)) = - 1

Person 3 :

• 8, - 2, 5, 1

• Sum = (8 + (-2) + 5 + 1) = 12

Mean value = (Total sum ÷ Frequency)

Mean value = [(-2 + (-1) + 12) ÷ 12]

Mean value = - 9 ÷ 12 = - 0.75

Therefore, the mean value of the result is 0.75°C

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