The S&P/ASX 200 index was 0.65% lower at 6,653 points at the close, having fallen as much as 0.9% earlier.
The benchmark declined 0.3% on Friday and was off 0.8% last week.
While China's second-quarter gross domestic product (GDP) data showed growth slowed to 6.2% year-on-year as expected, its weakest pace in at least 27 years, June industrial output and retail sales numbers comfortably beat forecasts.
The encouraging data for June suggested Beijing's earlier growth-boosting measures may be starting to kick in. Markets expect more government support to lift consumption and investment and restore business confidence.
The mining sector, most of whose constituents export commodities to China, rose 0.3%. The sector's biggest players were also helped by a rise in iron ore prices on Monday on hopes of an uptick in demand.
Australia-listed shares of global miners Rio Tinto finished up 0.4%, while BHP Group ended up 0.1%.
However, losses in financial stocks offset gains by miners, with the financial sub-index sliding 0.8%.
Wealth manager AMP Ltd was the top loser on both the sub-index and the benchmark, shedding nearly 16% on the day to a record low.
Its shares dived after the company said the sale of its life insurance and wealth protection business was unlikely to proceed on existing terms due to regulatory constraints in New Zealand. AMP also cancelled its interim dividend.
Shares of Australia and New Zealand Banking Group and Westpac Banking Corp, which had recently been pulled up by New Zealand regulators for disclosure breaches, were off 1% and 0.8%, respectively.
Their 'Big Four' banking peers Commonwealth Bank and National Australia Bank lost more than 0.5% each.
New Zealand's benchmark S&P/NZX 50 index ended 0.3% lower at 10,666.56.
Meridian Energy and Mercury New Zealand Ltd were the top decliners on the main board, down 3.1% and 2% respectively.