Question

A scientist collected data in 10 trials comparing tired students' and awake students' test scores.

Answer 1

Answer:

Scores of trial 2,3 are more accurate while trail 1 is the least precise as well as un-reproducible.

Explanation:

• The given second value is very close to the first one since Score 1 is 34%, 64%.
• We calculate average such as 34+67 /2 =50.5
• Deviations from the given values are calculated as follow:
• 50.5-34 =16.5 & 50.5-67 = -16.5
• Now, the average of deviation will be = (16.5 + -16.5 )/2 = 0.00
• Calculating Score 2 by the given values: 56% ,88%
• We calculate average such as 56+88 /2 =72
• Deviations from the given values are calculated as follow:
• 72-56 = 16 , 72-88 = - 16
• Average deviations here is 0.00
• Calculating Score 3 by the given values: 60% ,90%
• We can similarly find the Average as such 60+90 /2 = 75
• Deviations from this is 75-60 =15 , 75-90 = -15
• Average deviations here 0.00
• The given Score 4 is 58% , 86 % and its average is 72 and its deviation is -14 while its average deviation is 0

Result: Trail 1 has high deviation hence its is less accurate.