mr. potters physical science classes conducted an experiment to determine the density of aluminum. here are the density values each class period came up with: $1^{\text{st}}\text{ hour} = 3.1\text{ g/ml}$, $2^{\text{nd}}\text{ hour} = 3.05\text{ g/ml}$, $3^{\text{rd}}\text{ hour} = 1.9\text{ g/ml}$, $4^{\text{th}}\text{ hour} = 2.35\text{ g/ml}$, $5^{\text{th}}\text{ hour} = 4.2\text{ g/ml}$, and $6^{\text{th}}\text{ hour} = 4.0\text{ g/ml}$. if aluminums true density is $2.7\text{ g/ml}$, how would you group the class values based on accuracy?

a. group: $1^{\text{st}}, 3^{\text{rd}}, 5^{\text{th}}$, and $6^{\text{th}}$ hours, with one recorded decimal place in their values
group: $2^{\text{nd}}$ and $4^{\text{th}}$ hours, with two recorded decimal places in their values

b. group: $3^{\text{rd}}$ and $4^{\text{th}}$ hours, with values under the true density
group: $1^{\text{st}}, 2^{\text{nd}}, 5^{\text{th}}$, and $6^{\text{th}}$ hours, with values over the true density

c. group: $3^{\text{rd}}$ hour, with a 1 value
group: $4^{\text{th}}$ hour, with a 2 value
group: $1^{\text{st}}$ and $2^{\text{nd}}$ hours, with 3 values
group: $5^{\text{th}}$ and $6^{\text{th}}$ hours, with 4 values

d. group all classes as accurate

Question

mr. potters physical science classes conducted an experiment to determine the density of aluminum. here are the density values each class period came up with: $1^{\text{st}}\text{ hour} = 3.1\text{ g/ml}$, $2^{\text{nd}}\text{ hour} = 3.05\text{ g/ml}$, $3^{\text{rd}}\text{ hour} = 1.9\text{ g/ml}$, $4^{\text{th}}\text{ hour} = 2.35\text{ g/ml}$, $5^{\text{th}}\text{ hour} = 4.2\text{ g/ml}$, and $6^{\text{th}}\text{ hour} = 4.0\text{ g/ml}$. if aluminums true density is $2.7\text{ g/ml}$, how would you group the class values based on accuracy?

a. group: $1^{\text{st}}, 3^{\text{rd}}, 5^{\text{th}}$, and $6^{\text{th}}$ hours, with one recorded decimal place in their values
group: $2^{\text{nd}}$ and $4^{\text{th}}$ hours, with two recorded decimal places in their values

b. group: $3^{\text{rd}}$ and $4^{\text{th}}$ hours, with values under the true density
group: $1^{\text{st}}, 2^{\text{nd}}, 5^{\text{th}}$, and $6^{\text{th}}$ hours, with values over the true density

c. group: $3^{\text{rd}}$ hour, with a 1 value
group: $4^{\text{th}}$ hour, with a 2 value
group: $1^{\text{st}}$ and $2^{\text{nd}}$ hours, with 3 values
group: $5^{\text{th}}$ and $6^{\text{th}}$ hours, with 4 values

d. group all classes as accurate

Accepted Answer

# Answer: b. Group: $3^{\text{rd}}$ and $4^{\text{th}}$ hours, with values under the true density Group: $1^{\text{st}}$, $2^{\text{nd}}$, $5^{\text{th}}$, and $6^{\text{th}}$ hours, with values over the true density # Explanation: ## Step1: Identify the true density value $$\text{True density} = 2.7\text{ g/ml}$$ ## Step2: Compare each class value to the true density $$\begin{aligned} 1^{\text{st}}\text{ hour} &= 3.1\text{ g/ml} > 2.7\text{ g/ml} \quad (\text{Over}) \ 2^{\text{nd}}\text{ hour} &= 3.05\text{ g/ml} > 2.7\text{ g/ml} \quad (\text{Over}) \ 3^{\text{rd}}\text{ hour} &= 1.9\text{ g/ml} < 2.7\text{ g/ml} \quad (\text{Under}) \ 4^{\text{th}}\text{ hour} &= 2.35\text{ g/ml} < 2.7\text{ g/ml} \quad (\text{Under}) \ 5^{\text{th}}\text{ hour} &= 4.2\text{ g/ml} > 2.7\text{ g/ml} \quad (\text{Over}) \ 6^{\text{th}}\text{ hour} &= 4.0\text{ g/ml} > 2.7\text{ g/ml} \quad (\text{Over}) \end{aligned}$$ ## Step3: Group the classes based on accuracy comparison $$\begin{aligned} \text{Under true density} &= \{3^{\text{rd}}, 4^{\text{th}}\} \ \text{Over true density} &= \{1^{\text{st}}, 2^{\text{nd}}, 5^{\text{th}}, 6^{\text{th}}\} \end{aligned}$$

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QUESTION IMAGE

Question

Explanation:

Step1: Identify the true density value

Step2: Compare each class value to the true density

Step3: Group the classes based on accuracy comparison

Answer: