Question

name: julianna weathers date: 5/22 block: ba unit 1 statistics review
complete the following chart: measures of center & variability

measures of center	these always go together	measures of variability
2. median	skew, outlier	iqr

1. in a symmetric distribution, what is the appropriate measure of center to use? mean
2. in a skewed right distribution, what is the appropriate measure of variability to use? iqr
3. what is the appropriate measure of center & variability to use when an outlier is present? skew, outlier
4. what is the appropriate measure of center to use for the distribution shown?
5. what is the appropriate measure of variability to use for the distribution shown? number of siblings

Explanation:

Step1: Analyze the distribution in question 4

The histogram in question 4 appears to be symmetric. In symmetric distributions, the mean is the appropriate measure of center as the data is evenly distributed around a central value.

Step2: Analyze the distribution in question 5

The dot - plot in question 5 has an outlier (the value at 13). When an outlier is present, the median is a better measure of center as it is not affected by extreme values, and the IQR (Inter - Quartile Range) is a better measure of variability as it is also robust to outliers.

Answer:

1. Mean
2. IQR