Question 1: Identify whether the following numbers are even or odd: 24, 37, 48, 59.

Answer: 24, 48 are even; 37, 59 are odd.

Question 2: Calculate the median of the set: 12, 16, 18, 20, 22, 24.

Answer: 18

Question 3: Which of these numbers are even? 35, 42, 57, 64.

Answer: 42, 64

Question 4: Calculate the median of: 8, 10, 14, 16.

Answer: 12

Question 1: A nature reserve recorded the number of birds sighted each day over a week: 18, 22, 21, 20, 19, 23, 24. Find the median number of birds observed. Explain your reasoning.

Answer: Median is 21; after arranging (18, 19, 20, 21, 22, 23, 24), the middle value is 21.

Question 2: A forest survey recorded the heights (in cm) of 8 trees: 150, 152, 148, 151, 149, 153, 147, 154. Find the median height. Show your working.

Answer: 150.5; sorted heights are 147, 148, 149, 150, 151, 152, 153, 154; median is average of 150 and 151.

Question 1: A river monitoring station recorded water flow rates (in cubic meters per second) over 10 days: 210, 212, 208, 215, 213, 209, 214, 210, 211, 213. Find the median flow rate. State if the median is an even number.

Answer: 213; Yes, 213 is odd, but median is 211.5, which is not even.

Question 2: A study of tree ages in a forest shows the following ages (in years): 50, 52, 55, 54, 53, 56, 57, 58. Find the median age and determine if it is even.

Answer: 54.5; median is average of 54 and 55, which is an odd number.

Question 1: A scientist records the number of insects found in 12 different plant samples: 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60. Find the median number of insects per sample. Is this median an even number? Explain.

Answer: 49; median is average of 48 and 50, which is 49, an odd number.

Question 2: In a study of environmental temperatures over 14 days, the recorded temperatures were: 15, 16, 15, 17, 16, 18, 17, 19, 20, 21, 22, 23, 24, 25. Find the median temperature and discuss whether the median is even or odd.

Answer: 17.5; median is average of 17 and 18, which are odd and even respectively, median is not even.

Question 1: A pond was monitored for the number of fish caught over 6 days: 30, 32, 34, 36, 38, 40. Find the median number of fish caught. What common mistake might students make when calculating the median in an even-numbered data set?

Answer: Median is 35; a common mistake is choosing one of the middle values instead of averaging the two middle numbers.

Question 2: If a student incorrectly identified the median of the data set: 10, 12, 14, 16 as 14, what mistake did they make?

Answer: They likely took the third value as median instead of averaging the two middle numbers (12 and 14).