Questions: McDonald's has 13 different hamburgers on the menu. The prices are displayed in the dotplot and summary statistics are provided. n Mean SD Min Q1 Med Q3 Max 13 2.95 1.53 1 1.34 3.69 4.49 4.69 A McDonald's manager in Michigan, where there is a sales tax of 6%, adjusts all these prices to include this sales tax. a. What is the price that includes sales tax for the Big Mac priced at 4.49? b. What mathematical operation was used for this calculation? c. What are the mean and standard deviation of the distribution of McDonald's hamburger prices that include sales tax? Mean: SD: d. What are the median and IQR of the distribution of McDonald's hamburger prices that include sales tax? Median: IQR:

McDonald's has 13 different hamburgers on the menu. The prices are displayed in the dotplot and summary statistics are provided. n Mean SD Min Q1 Med Q3 Max 13 2.95 1.53 1 1.34 3.69 4.49 4.69 A McDonald's manager in Michigan, where there is a sales tax of 6%, adjusts all these prices to include this sales tax. a. What is the price that includes sales tax for the Big Mac priced at 4.49? b. What mathematical operation was used for this calculation? c. What are the mean and standard deviation of the distribution of McDonald's hamburger prices that include sales tax? Mean: SD: d. What are the median and IQR of the distribution of McDonald's hamburger prices that include sales tax? Median: IQR:
Transcript text: McDonald's has 13 different hamburgers on the menu. The prices are displayed in the dotplot and summary statistics are provided. $\begin{array}{cccccccc}\text { n } & \text { Mean. } & \text { SD } & \text { Min } & \text { Q1 } & \text { Med } & \text { Q3 } & \text { Max } \\ 13 & 2.95 & 1.53 & 1 & 1.34 & 3.69 & 4.49 & 4.69\end{array}$ A McDonald's manager in Michigan, where there is a sales tax of $6 \%$, adjusts all these prices to include this sales tax. a. What is the price that includes sales tax for the Big Mac priced at \$4.49? b. What mathematical operation was used for this calculation? c. What are the mean and standard deviation of the distribution of McDonald's hamburger prices that include sales tax? Mean: $\$$ SD: $\$$ d. What are the median and IQR of the distribution of McDonald's hamburger prices that include sales tax? Median: $\$$ IQR: $\$$
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Solution

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Solution Steps

Step 1: Calculate the price including sales tax for the Big Mac

To find the price including a 6% sales tax for the Big Mac priced at $4.49, we use the formula: \[ \text{Price with tax} = \text{Original Price} \times (1 + \text{Sales Tax Rate}) \] \[ \text{Price with tax} = 4.49 \times 1.06 \] \[ \text{Price with tax} = 4.49 \times 1.06 = 4.7534 \]

Final Answer

The price that includes sales tax for the Big Mac priced at $4.49 is $4.75 (rounded to two decimal places).

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