Solve. Explain your answer. 13. Theo scored \( 81,79,84,80 \), and 81 on 5 math tests. He scored 98 on the next math test. Without computing the mean, median, mode, or range, tell how his latest grade will affect each statistical measure.

Adding Theo’s latest test score of 98 to his collection of scores will certainly make waves in the statistics! First, for the mean, since the new score is higher than the existing average (which we can infer is below 98), it will push the mean up, making his overall average score higher. For the median, we need to visualize the order of his scores: \( 79, 80, 81, 81, 84, 98 \). The middle score settles in the third position, so with this soaring 98, the median will remain the same at 81 since it still retains the original center value due to the odd number of scores. As for the mode, which is the most frequently occurring number, it remains unchanged at 81—after all, that number still tips the popularity scale despite the new kid on the block!