You developed a test to measure the speaking ability of babies. The scores below are given to babies based on their genders. Comput Ehe standard deviation, the variance, the range, and the coefficient of variation for the two different groups.(2 decimal places for everything and put the % sign when doing the C.V with no spaces in between.) Boys Girls 137 120

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### Speaking Ability Test for Babies

You developed a test to measure the speaking ability of babies. The scores below are given to babies based on their genders. Compute the standard deviation, the variance, the range, and the coefficient of variation for the two different groups. (Use 2 decimal places for everything and put the % sign when doing the C.V. with no spaces in between.)

#### Scores

**Boys**
- 13.7
- 17.6
- 12.9
- 8.7
- 9.6
- 11.9
- 8.7
- 12.1
- 10.5
- 11.2

**Girls**
- 12.9
- 10.7
- 8.3
- 11
- 13.9
- 11.2
- 10.7
- 11.9
- 10.7
- 9.3

#### Statistical Analysis

|                    | Boys   | Girls  |
|--------------------|--------|--------|
| **Standard Deviation** (2 decimals) | _____  | _____  |
| **Variance** (2 decimals)           | _____  | _____  |
| **Range** (1 decimal)               | _____  | _____  |
| **Coefficient of Variation** (2 decimals added %) | _____% | _____% |

#### Explanation

- **Standard Deviation** measures the amount of variation or dispersion in a set of values.
- **Variance** is the square of the standard deviation and represents the spread of the data points.
- **Range** is the difference between the highest and lowest values.
- **Coefficient of Variation** (C.V.) is the ratio of the standard deviation to the mean, expressed as a percentage, and it measures relative variability.

Ensure to fill in the calculated values in the provided blanks for a complete analysis.
Transcribed Image Text:### Speaking Ability Test for Babies You developed a test to measure the speaking ability of babies. The scores below are given to babies based on their genders. Compute the standard deviation, the variance, the range, and the coefficient of variation for the two different groups. (Use 2 decimal places for everything and put the % sign when doing the C.V. with no spaces in between.) #### Scores **Boys** - 13.7 - 17.6 - 12.9 - 8.7 - 9.6 - 11.9 - 8.7 - 12.1 - 10.5 - 11.2 **Girls** - 12.9 - 10.7 - 8.3 - 11 - 13.9 - 11.2 - 10.7 - 11.9 - 10.7 - 9.3 #### Statistical Analysis | | Boys | Girls | |--------------------|--------|--------| | **Standard Deviation** (2 decimals) | _____ | _____ | | **Variance** (2 decimals) | _____ | _____ | | **Range** (1 decimal) | _____ | _____ | | **Coefficient of Variation** (2 decimals added %) | _____% | _____% | #### Explanation - **Standard Deviation** measures the amount of variation or dispersion in a set of values. - **Variance** is the square of the standard deviation and represents the spread of the data points. - **Range** is the difference between the highest and lowest values. - **Coefficient of Variation** (C.V.) is the ratio of the standard deviation to the mean, expressed as a percentage, and it measures relative variability. Ensure to fill in the calculated values in the provided blanks for a complete analysis.
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