The measures of central tendency include the mode, median, and mean. The mode is the value that appears most frequently in a data set. In this case, the speed of 36 appears twice, making it the mode. The median is the middle value when a data set is ordered from least to greatest; for these speeds, when ordered (18, 36, 36, 38, 55, 67), the median is the average of the two middle numbers, which is ( \frac{36 + 38}{2} = 37 ). The mean is the average of all values, calculated as ( \frac{55 + 36 + 18 + 67 + 36 + 38}{6} = 41.7 ).
[References:, The calculation of the mode, median, and mean is based on standard statistical formulas and definitions., The measures of central tendency for speed include the mode, median, and mean. To calculate these, we first need to organize the data:, Speeds in ascending order: 18, 36, 36, 38, 55, 67, Mode is the value that appears most frequently, which is 36, as it appears twice., Median is the middle value when the data is ordered. Since we have an even number of observations, we take the average of the two middle values (36 and 38), resulting in 37., Mean is the sum of all values divided by the number of values.(18+36+36+38+55+67)/6=41.5(18+36+36+38+55+67)/6=41.5., Thus, the correct option is D, which includes Mode = 36, Median = 37, and Mean = 41.5. The range, maximum, and minimum values, although useful in understanding data dispersion, are not measures of central tendency and are therefore not relevant to this specific question., , , ]
