Why does the graph on the right have a higher standard deviation? 1 2 3 4 5 6 7 1 2 3 4 5 6 7 What is meant by the term "variability"? Frequency Frequency

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**Why does the graph on the right have a higher standard deviation?**

The image shows two bell-shaped graphs comparing frequency distributions. The graph on the right has a wider spread compared to the graph on the left, which means that the data points are more dispersed from the mean, hence a higher standard deviation.

**What is meant by the term “variability”?**

Variability refers to how spread out or dispersed the data points in a data set are. It indicates the extent to which these data points differ from each other and from the central tendency (mean).

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You are working at Kingsville Hearing Aid Clinic, documenting the number of visits per year for each client. The mean is 14.3 visits per year and the standard deviation is 6.2.

- What percent of people have fewer than 10 visits per year?
- How many visits per year are needed to enter the top 25%?
- A client named Ezekiel visited the clinic 9 times. What percentile is he?
- Your mother visited the clinic last year. Her number of visits was 3 standard deviations above the mean. How many times did she visit the clinic?
Transcribed Image Text:**Why does the graph on the right have a higher standard deviation?** The image shows two bell-shaped graphs comparing frequency distributions. The graph on the right has a wider spread compared to the graph on the left, which means that the data points are more dispersed from the mean, hence a higher standard deviation. **What is meant by the term “variability”?** Variability refers to how spread out or dispersed the data points in a data set are. It indicates the extent to which these data points differ from each other and from the central tendency (mean). --- You are working at Kingsville Hearing Aid Clinic, documenting the number of visits per year for each client. The mean is 14.3 visits per year and the standard deviation is 6.2. - What percent of people have fewer than 10 visits per year? - How many visits per year are needed to enter the top 25%? - A client named Ezekiel visited the clinic 9 times. What percentile is he? - Your mother visited the clinic last year. Her number of visits was 3 standard deviations above the mean. How many times did she visit the clinic?
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