Final answer:
The statement is false because the result of meiosis is four haploid daughter cells, each containing a single set of chromosomes, which is half the number in diploid somatic cells. Somatic cells are diploid, whereas reproductive cells are haploid.
Step-by-step explanation:
The statement that daughter cells contain a full set of chromosomes and therefore are called diploid is false. During meiosis in sexually reproducing organisms, a diploid cell undergoes two meiotic divisions to produce four haploid daughter cells. After the first meiotic division, each of the two cells is haploid because at each pole, there is just one of each pair of homologous chromosomes, meaning only one full set of chromosomes is present.
In the subsequent meiosis II, the sister chromatids that are present in each haploid cell separate, ensuring that each of the resulting four daughter cells has just one copy of each chromosome, hence maintaining the haploid number. Somatic cells, or body cells, are indeed diploid because they contain double the number of chromosomes found in reproductive cells - which are the gametes.