Use the following chart to help you calculate the standard deviation for this sample of blossoms from the greenhouse. Fill in the chart below.

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Big Blossom Greenhouse was commissioned to develop an extra large rose for the Rose Bowl Parade.  A random sample of blossoms from Hybrid A bushes yielded the following diameters (in inches) for mature peak blooms.

 

2 in, 3 in, 3 in, 8 in, 10 in, 10 in

 

### Calculating Standard Deviation for Blossom Samples

To calculate the standard deviation for this sample of blossoms from the greenhouse, fill in the following chart. 

#### Chart Description

The chart is divided into three columns:

1. **X**: This column lists the individual data points of the sample:
   - 2
   - 3
   - 3
   - 8
   - 10
   - 10

2. **\( x - \bar{x} \)**: In this column, calculate the deviation of each data point \( x \) from the sample mean \( \bar{x} \).

3. **\( (x - \bar{x})^2 \)**: Here, square the deviations calculated in the previous column.

The sum of these squared deviations \( \sum(x - \bar{x})^2 \) will be calculated at the bottom of the third column to assist in finding the standard deviation.
Transcribed Image Text:### Calculating Standard Deviation for Blossom Samples To calculate the standard deviation for this sample of blossoms from the greenhouse, fill in the following chart. #### Chart Description The chart is divided into three columns: 1. **X**: This column lists the individual data points of the sample: - 2 - 3 - 3 - 8 - 10 - 10 2. **\( x - \bar{x} \)**: In this column, calculate the deviation of each data point \( x \) from the sample mean \( \bar{x} \). 3. **\( (x - \bar{x})^2 \)**: Here, square the deviations calculated in the previous column. The sum of these squared deviations \( \sum(x - \bar{x})^2 \) will be calculated at the bottom of the third column to assist in finding the standard deviation.
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