**Title: Analysis of Age Distribution Among Promotion-Sensitive Shoppers** **Overview:** This study evaluates the age distribution of customers identified as "super shoppers" at supermarkets. A "super shopper" is defined as an individual who purchases at least 70% of their items either on sale or with coupons. **Age Distribution Data:** | Age Group (Years) | Midpoint | Super Shoppers (%) | |-------------------|----------|--------------------| | 18-28 | 23 | 10% | | 29-39 | 34 | 43% | | 40-50 | 45 | 25% | | 51-61 | 56 | 11% | | 62 and over | 67 | 11% | **Objective:** Calculate the standard deviation (\(\sigma\)) for the ages of super shoppers, rounding the result to two decimal places. **Instructions:** To find the standard deviation, consider the midpoints of each age group along with their respective percentage of super shoppers. Use these to determine the variance and subsequently the standard deviation.

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**Title: Analysis of Age Distribution Among Promotion-Sensitive Shoppers**

**Overview:**
This study evaluates the age distribution of customers identified as "super shoppers" at supermarkets. A "super shopper" is defined as an individual who purchases at least 70% of their items either on sale or with coupons.

**Age Distribution Data:**

| Age Group (Years) | Midpoint | Super Shoppers (%) |
|-------------------|----------|--------------------|
| 18-28             | 23       | 10%                |
| 29-39             | 34       | 43%                |
| 40-50             | 45       | 25%                |
| 51-61             | 56       | 11%                |
| 62 and over       | 67       | 11%                |

**Objective:**
Calculate the standard deviation (\(\sigma\)) for the ages of super shoppers, rounding the result to two decimal places.

**Instructions:**
To find the standard deviation, consider the midpoints of each age group along with their respective percentage of super shoppers. Use these to determine the variance and subsequently the standard deviation.
Transcribed Image Text:**Title: Analysis of Age Distribution Among Promotion-Sensitive Shoppers** **Overview:** This study evaluates the age distribution of customers identified as "super shoppers" at supermarkets. A "super shopper" is defined as an individual who purchases at least 70% of their items either on sale or with coupons. **Age Distribution Data:** | Age Group (Years) | Midpoint | Super Shoppers (%) | |-------------------|----------|--------------------| | 18-28 | 23 | 10% | | 29-39 | 34 | 43% | | 40-50 | 45 | 25% | | 51-61 | 56 | 11% | | 62 and over | 67 | 11% | **Objective:** Calculate the standard deviation (\(\sigma\)) for the ages of super shoppers, rounding the result to two decimal places. **Instructions:** To find the standard deviation, consider the midpoints of each age group along with their respective percentage of super shoppers. Use these to determine the variance and subsequently the standard deviation.
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The formula of mean is,

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