Mean Grocery Spending Analysis

A research study was conducted to analyze the spending habits of 200 households in City A concerning different categories, including groceries, utilities, and leisure activities. The findings are summarized in the histogram below:

From the histogram, it can be noted that:

• 25% of households spend between $300 and $500 on groceries.
• 50% of households spend between $100 and $300 on utilities.
• The median spending on leisure activities is $200.

Based on the data provided, what is the mean spending on groceries for the households surveyed if it’s known that the average spending of the remaining 50% on other categories is $150? Round your answer to two decimal places.