Question

Consider the following summary statistics for school districts' annual per student expenditures (in dollars) for education from 12 cities for two different years, 2007 and 2017:

2007: mean = $7,050; median=$7,215 standard deviation (s) = 804

2017: mean = $9,009; median=$7,516; s=1,960

Using the above information, describe the changes in these distributions in terms of their typical scores, spread of scores and shape (e.g., normal, skew?). Use full sentences and be as descriptive as possible.

Answer 1

Consider the following summary statistics for school districts' annual per student expenditures (in dollars) for education from 12 cities for two different years, 2007 and 2017:

2007: mean = $7,050; median=$7,215 standard deviation (s) = 804

2017: mean = $9,009; median=$7,516; s=1,960

Using the above information, describe the changes in these distributions in terms of their typical scores, spread of scores and shape (e.g., normal, skew?). Use full sentences and be as descriptive as possible.

There is an increase in average annual per student expenditures in 2017 compared to 2007.

The spread of scores or variability in the score of 2017 is higher than variability in the score of 2007.

The shape of the distribution of 2007 is negatively skewed ( mean is lower than median).

The shape of the distribution of 2017 is positively skewed ( mean is higher than median).