Mathematics
Mathematics
Problem
For the following distribution the mode is . Determine the missing frequency of the modal class. Class interval: 0–10 10–20 20–30 30–40 40–50 Frequency: 4 8 12 ? 7 a) b) c) d)Intuitive explanation
The mode is the value that appears most often, and in grouped data it falls in the modal class—the interval with the highest frequency. Since the mode is 34, it must lie in the 30–40 class, which means that class needs the highest frequency. Set up an inequality comparing the unknown frequency to the others, then use the fact that the mode lands in that interval to pin down the exact value.
Intuitive explanation
The mode is the value that appears most often, and in grouped data it falls in the modal class—the interval with the highest frequency. Since the mode is 34, it must lie in the 30–40 class, which means that class needs the highest frequency. Set up an inequality comparing the unknown frequency to the others, then use the fact that the mode lands in that interval to pin down the exact value.