A method of selecting a sample by randomly selecting the first element and then selecting every k^th element thereafter is A)area sampling B)stratified sampling C)systematic sampling D)stratified simple random sampling

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The method described is systematic sampling, where the sample is selected by choosing every kth element after randomly selecting the first element. Area sampling involves dividing a population into non-overlapping regions and randomly selecting regions to sample from. Stratified sampling involves dividing a population into homogeneous subgroups (strata) and then randomly selecting individuals from each subgroup. Stratified simple random sampling involves randomly selecting individuals from each subgroup in proportion to their size. The description of the sampling method in the question matches the definition of systematic sampling.

A Method of Selecting a Sample by Randomly Selecting the First