​Recently, a random sample of 25dash34 year olds was​ asked, "How much do you currently have in​ savings, not including retirement​ savings?" The data in the table represent the responses to the survey. Approximate the mean and standard deviation amount of savings.
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Part 1
The sample mean amount of savings is ​$
  
enter your response here.

To calculate the sample mean and standard deviation of the savings amounts based on the frequency distribution, follow these steps:

### Step 1: Calculate the Sample Mean
The sample mean $\bar{x}$ is calculated using the formula:

\[
\bar{x} = \frac{\sum (f_i \cdot x_i)}{n}
\]

Where:
- $f_i$ is the frequency of the $i$-th class.
- $x_i$ is the midpoint of the $i$-th class.
- $n$ is the total number of observations.

### Step 2: Calculate the Standard Deviation
The standard deviation $s$ is calculated using the formula:

\[
s = \sqrt{\frac{\sum f_i \cdot (x_i - \bar{x})^2}{n - 1}}
\]

To proceed, I need the frequency distribution table that contains the class intervals and their corresponding frequencies. Could you please provide this data?

Recently, a random sample of 25-34 year olds was asked, 'How much do you currently have in savings, not including retirement savings?' The data in the table represent the responses to the survey. Approximate the mean and standard deviation amount of savings.

Learn how to approximate the sample mean and standard deviation of savings data using frequency distribution. This detailed guide walks through key statistical concepts, including the sample mean formula and standard deviation calculation. Suitable for high school students in Grades 10-12.

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