6. Descriptive Statistics

6.01 Frequency data displays

6.02 Measures of center

6.03 Box plots and measures of spread

6.04 Data distributions

Investigation: Statistics and the weather

6.05 Comparisons of data sets

Investigation: Finding the line of best fit using technology

6.06 Two-way frequency tables

6.07 Scatter plots and lines of fit

6.08 Correlation and causation

6.09 Linear regressions and residual plots

Investigation: Interpretation of data with awareness of issues

Investigation: Associations in biometric data

6.10 Fitting functions to exponential data

United States of America UT

Math I

6.04 Data distributions

Interactive practice questions

State whether the scores in each histogram are positively skewed, negatively skewed or symmetrical (approximately).

a

A histogram that represents the distribution of scores. The x-axis enumerates discrete scores as individual points, while the y-axis corresponds to the frequency of each score interval. Each bar on the histogram corresponds to one of these distinct scores, with the bar's height reflecting the count or frequency of occurrences for that particular score. Most of the scores are relatively high.

Positively skewed

A

Symmetrical

B

Negatively skewed

C

b

A histogram that represents the distribution of scores. The x-axis enumerates discrete scores as individual points, while the y-axis corresponds to the frequency of each score interval. Each bar on the histogram corresponds to one of these distinct scores, with the bar's height reflecting the count or frequency of occurrences for that particular score. Approximately, as the score goes higher, the frequency goes lower.

Positively skewed

A

Negatively skewed

B

Symmetrical

C

c

A histogram that represents the distribution of scores. The x-axis enumerates discrete scores as individual points, while the y-axis corresponds to the frequency of each score interval. Each bar on the histogram corresponds to one of these distinct scores, with the bar's height reflecting the count or frequency of occurrences for that particular score. The scores have its peak approximately in the middle.

Negatively skewed

A

Symmetrical

B

Positively skewed

C

Easy

< 1min

Answer the following:

Easy

< 1min

A set of data has the following five-number summary.

Easy

2min

Consider the following set of data:

$9$9 $5$5 $3$3 $2$2 $6$6 $1$1

Easy

2min

Outcomes

I.S.ID.2

Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.

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