Question

Data Set #1
The following data were collected using a car with a water clock set to release a drop in a unit of
time and a meter stick. The car rolled down an inclined plane. Three trials were run. Create a
data table with each trial and an average distance column.
Time (drops of water)
Distance (cm)
1
10, 11,9
2
29, 31, 30
3
59,58, 61
4
102, 100, 98
5
122, 125, 127

Answer 1

Answer:

The data table is attached below.

Step-by-step explanation:

The average of a set of data is the value that is a representative of the entire data set.

The formula to compute averages is:

$\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}$

Compute the average for drop 1 as follows:

$\bar x_{1}=\frac{1}{3}\times[10+11+9]=10$

Compute the average for drop 2 as follows:

$\bar x_{2}=\frac{1}{3}\times[29+31+30]=30$

Compute the average for drop 3 as follows:

$\bar x_{3}=\frac{1}{3}\times[59+58+61]=59.33$

Compute the average for drop 4 as follows:

$\bar x_{4}=\frac{1}{3}\times[102+100+98]=100$

Compute the average for drop 5 as follows:

$\bar x_{5}=\frac{1}{3}\times[122+125+127]=124.67$

The data table is attached below.

Answer 2

The average of the numbers in the data table will be 10, 30, 59.33, 100, and 124.67.

How to explain the data table?

The average for drop 1 will be:

= 1/3 × (10 + 11 + 9)

= 10

The average for drop 2 will be:

= 1/3 × (29 + 31 + 30)

= 30

The average for drop 3 will be:

= 1/3 × (59 + 58 + 61)

= 59.33

The average for drop 4 will be:

= 1/3 × (102 + 100 + 98)

= 100

The average for drop 5 will be:

= 1/3 × (122 + 125 + 127)

= 124.67

Learn more about data table on:

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