On the 18 January 2018 the Department for Transport published Walking and Cycling Statistics for England which contain figures on the proportion of adults that cycle, by ethnicity, frequency and purpose for England between 2015-2016 (see pp14-15). The full report can be found at https://assets.publishing.service.gov.uk/government/uploads/system/uploads/attachment_data/file/674503/walking-and-cycling-statistics-england-2016.pdf
This Government wants to make cycling and walking the natural choices for shorter journeys, or as part of a longer journey, for everyone. The Cycling and Walking Investment Strategy, published in April 2017, aims to increase cycling and walking activity, including among under-represented groups. It also commits the Government to monitoring the extent to which people from different age groups, genders and ethnic backgrounds are taking up cycling and walking.