1. data type : qualitative , measurement of scale : ordinal , visualization : bar chart
2. data type : quantitative , measurement of scale : ratio , visualization : histogram ?

EX

1. frequency table

   trails	frequency
   2	5
   3	3
   4	1
   1	16

2. bar graph

   

   qualitative description :

   shape - left skew

   location and dispersion - little variation in scores

c. mode and median

mode - 1 (most frequent)

median - 1 (middle value, sorted smallest → largest)

EX

1. Median around 13, the IQR is roughly 22 - 7 = 15. The data is generally localized around the 0 to 20 interval with 6 outliers as we move further away from values roughly >25.

2. Histogram

   

3. The mean would be larger as the data is less spread out.

1. EX
   1. population : the beer cans , population parameter : mean , sample statistic: 33.26
   2. mean : 33.26 , max : 33.53 , min : 32.91 , range : 0.62 , 32.98 is much closer to the min than the max, additionally there only 1/25 or 4% of the values is below 33. Thus a reasonable estimate might be 5%.
   3. mean = 33.18 , sd = 0.20
      • z = (x - mean) / sd = (32.98 - 33. 18) / 20 = -0.01
      • probability if z = -0.01 is 0.4960
   4. mean = 33.18, sd = 0.20