I haven't seen the whole sentence, but probably: 

• X% of households had ***; representing an increase of… -- NO
  
• For example, take ***; whilst this is likely to help… -- YES
  
• This organisation makes a real effort to ***; for example, -- MAYBE
  
• The significance of this is simple; the more… -- NO
  
• Classification of *** is split into two key parts; a *** and a *** -- NO
  
• The *** ‘forms the bedrock of ***’; meaning to challenge it… -- NO
  
• This flaw heavily compromises the ***’s value for two reasons; firstly…. -- NO
  
• The organisation consists of three brands; (names of three brands) -- NO
  
• Revolves around the only criticism of the *** found to stand valid; (description of criticism)  -- NO

The guidelines for semicolons are relatively simple:

1-- Use a semicolon to separate independent clauses that are more closely associated in idea than separation by full stop would make them.

2-- Use semicolons to separate items in a list when these items have internal commas.

.