This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Welcome back Dancan — missed you this week. Here's the solution to question 3: Step 1: Identify the given data. The heights of tree seedlings are: 143, 139, 161, 144, 160, 158, 160, 144, 154, 138, 144, 159. a) Determine the mean height. Step 2: Calculate the sum of all heights and count the number of seedlings. Sum of heights = 143 + 139 + 161 + 144 + 160 + 158 + 160 + 144 + 154 + 138 + 144 + 159 = 1804. Number of seedlings = 12. Step 3: Calculate the mean. Mean = Sum of heightsNumber of seedlings = (1804)/(12) = 150.333... The mean height is 150.33 cm. b) What is the mode? Step 4: Identify the most frequent height. The data set is: 143, 139, 161, 144, 160, 158, 160, 144, 154, 138, 144, 159. Count the occurrences of each height: 138: 1 139: 1 143: 1 144: 3 154: 1 158: 1 159: 1 160: 2 161: 1 The height that appears most frequently is 144. The mode is 144 cm. c) Calculate the median height? Step 5: Arrange the data in ascending order. 138, 139, 143, 144, 144, 144, 154, 158, 159, 160, 160, 161. There are 12 data points, which is an even number. Step 6: Calculate the median. The median for an even number of data points is the average of the two middle values. The middle values are the 6^th and 7^th values: 144 and 154. Median = (144 + 154)/(2) = (298)/(2) = 149 The median height is 149 cm. Send me the next one 📸