Question 2 of 12 Step 1 of 1 0/12 Correct An English teacher at a high school can teach six classes. There are 38 students enrolled in English L. 44 in English II. and 47 in English ill. Find the SD and SQ for each section to determine how many sections of each course should be offered. Round your answers to the nearest thousanath, if necessary. Answer Keypad Keyboard Shortcur \( \square \) \( \square \) \( \square \) SQ English III \( \approx \) \( \square \)

To determine how many sections of each English course should be offered, we need to calculate the Standard Deviation (SD) and the Standard Quotient (SQ) for each section. ### Step 1: Calculate the Standard Deviation (SD) The formula for the Standard Deviation (SD) is: \[ SD = \sqrt{\frac{\sum (x_i - \bar{x})^2}{N}} \] Where: - \( x_i \) = each value in the dataset - \( \bar{x} \) = mean of the dataset - \( N \) = number of values in the dataset ### Step 2: Calculate the Standard Quotient (SQ) The Standard Quotient (SQ) is calculated using the formula: \[ SQ = \frac{SD}{\bar{x}} \] Where: - \( \bar{x} \) = mean of the dataset ### Step 3: Calculate for Each Course 1. **English L (38 students)** 2. **English II (44 students)** 3. **English III (47 students)** Since we only have one value for each course, the SD will be 0, and thus the SQ will also be 0. However, if we consider the number of sections that can be offered based on the total number of students and the maximum number of classes (6), we can calculate the average number of students per section. Let's calculate the average number of students per section for each course: - For English L: \[ \text{Average} = \frac{38}{\text{number of sections}} \] - For English II: \[ \text{Average} = \frac{44}{\text{number of sections}} \] - For English III: \[ \text{Average} = \frac{47}{\text{number of sections}} \] ### Step 4: Determine the Number of Sections To determine how many sections should be offered, we can round the average number of students per section to the nearest whole number. Let's calculate the SQ for English III and determine the number of sections. Since we have only one value for each course, we will assume that the maximum number of students per section is a standard value (let's say 20 students per section) to determine the number of sections needed. Now, let's calculate the number of sections for English III: \[ \text{Number of sections} = \frac{47}{20} \approx 2.35 \text{ (rounding up gives us 3 sections)} \] Now, let's calculate the SQ for English III: 1. **Mean for English III**: \[ \bar{x} = 47 \] 2. **SD for English III**: Since we only have one value, SD = 0. 3. **SQ for English III**: \[ SQ = \frac{0}{47} = 0 \] ### Final Answers - **SQ English III**: \( \approx 0 \) - **Number of sections for English III**: 3 Thus, the answer for SQ English III is: \[ SQ \text{ English III} \approx 0 \] If you need further calculations for English L and English II, please let me know!