exercise 4: car speed: 18 m/s, 19 m/s, 20 m/s, 100 m/s
a) find the average:
b) find the range:
c) find the random error:
d) write the result with the error:
e) percentage of uncertainty:

Question

Accepted Answer

### Part a)
# Explanation:
## Step1: Sum the speeds
Sum = $ 18 + 19 + 20 + 100 = 157 $
## Step2: Divide by number of values (4)
Average = $ \frac{157}{4} = 39.25 \, \text{m/s} $
# Answer: $ 39.25 \, \text{m/s} $

### Part b)
# Explanation:
## Step1: Identify max and min
Max = $ 100 \, \text{m/s} $, Min = $ 18 \, \text{m/s} $
## Step2: Subtract min from max
Range = $ 100 - 18 = 82 \, \text{m/s} $
# Answer: $ 82 \, \text{m/s} $

### Part c)
# Explanation:
## Step1: Random error (half of range)
Random Error = $ \frac{82}{2} = 41 \, \text{m/s} $
# Answer: $ 41 \, \text{m/s} $

### Part d)
# Explanation:
Result = Average $ \pm $ Random Error
Result = $ 39.25 \pm 41 \, \text{m/s} $
# Answer: $ 39.25 \pm 41 \, \text{m/s} $

### Part e)
# Explanation:
## Step1: Formula: $ \% \text{Uncertainty} = \frac{\text{Random Error}}{\text{Average}} \times 100 $
## Step2: Substitute values
$ \% \text{Uncertainty} = \frac{41}{39.25} \times 100 \approx 104.46\% $
# Answer: $ \approx 104.46\% $

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QUESTION IMAGE

Question

Explanation:

Part a)

Step1: Sum the speeds

Step2: Divide by number of values (4)

Step1: Identify max and min

Step2: Subtract min from max

Step1: Random error (half of range)

Answer:

Part b)