Find the range and standard deviation for the data items in the histogram below. 5 4 Frequency

MATLAB: An Introduction with Applications
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**Find the range and standard deviation for the data items in the histogram below.**

In the histogram provided:

- The x-axis represents data values in intervals: 0-10, 10-20, 20-30, 30-40, 40-50, 50-60, 60-70.
- The y-axis represents frequency, ranging from 0 to 5.

**Frequency Distribution:**
- Interval 0-10: Frequency = 0
- Interval 10-20: Frequency = 2
- Interval 20-30: Frequency = 5
- Interval 30-40: Frequency = 5
- Interval 40-50: Frequency = 2
- Interval 50-60: Frequency = 0
- Interval 60-70: Frequency = 5

**Range Calculation:**
The range is the difference between the maximum and minimum data values. Here, it is the interval maximum (70) minus the interval minimum (10), considering non-zero frequencies:

Range = 70 - 10 = 60

**Standard Deviation Calculation:**

To calculate the standard deviation:
1. Calculate the mean of the data.
2. Subtract the mean from each data value, square the result, and average those squared differences.
3. Take the square root of this average.

*Round the standard deviation to two decimal places if needed.*
Transcribed Image Text:**Find the range and standard deviation for the data items in the histogram below.** In the histogram provided: - The x-axis represents data values in intervals: 0-10, 10-20, 20-30, 30-40, 40-50, 50-60, 60-70. - The y-axis represents frequency, ranging from 0 to 5. **Frequency Distribution:** - Interval 0-10: Frequency = 0 - Interval 10-20: Frequency = 2 - Interval 20-30: Frequency = 5 - Interval 30-40: Frequency = 5 - Interval 40-50: Frequency = 2 - Interval 50-60: Frequency = 0 - Interval 60-70: Frequency = 5 **Range Calculation:** The range is the difference between the maximum and minimum data values. Here, it is the interval maximum (70) minus the interval minimum (10), considering non-zero frequencies: Range = 70 - 10 = 60 **Standard Deviation Calculation:** To calculate the standard deviation: 1. Calculate the mean of the data. 2. Subtract the mean from each data value, square the result, and average those squared differences. 3. Take the square root of this average. *Round the standard deviation to two decimal places if needed.*
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