High-strength cold-rolled steel sheet and method for manufacturing the same (as amended)

A high-strength cold-rolled steel sheet having a chemical composition comprising:

• by mass %, C:
• 0.15% or more and 0.30% or less, Si:
• 0.8% or more and 2.4% or less, Mn:
• 2.4% or more and 3.5% or less, P:
• 0.08% or less, S:
• 0.005% or less, Al:
• 0.01% or more and 0.08% or less, N:
• 0.010% or less, Ti:
• 0.002% or more and 0.05% or less, B:
• 0.0002% or more and 0.0050% or less, and the balance being Fe and inevitable impurities, a microstructure including ferrite having an average grain diameter of 3 μm or less and a volume fraction of 5% or less (including 0%), retained austenite having a volume fraction of 10% or more and 20% or less, martensite having an average grain diameter of 4 μm or less and a volume fraction of 20% or less (including 0%), and the balance including bainite and/or tempered martensite, wherein an average number of cementite grains having a grain diameter of 0.1 μm or more per 100 firm in a cross section in the thickness direction parallel to the rolling direction of the steel sheet is 30 or more.