Not beautiful. More "interesting data set." Source: https://wonder.cdc.gov/ucd-icd10-expanded.html
edited to correct off-by-one error in 5-14 year old column
They just die of other things. The CDC tracks 20 different injury types and 45 broad non-injury causes of death. The 5-14 group die mostly of septicemia, "machinery" injuries, and an "Residual," "All other diseases" category, but even those big 3 only account for 40% of all 5-14 deaths.