Answer: To find the mean of the data set, you need to calculate the sum of the products of each length and its corresponding frequency, and then divide that sum by the total number of roses.
Using the data set given, the sum of the products is:
(2 * 22) + (4 * 23) + (5 * 24) + (3 * 25) + (1 * 26) = 221
The total number of roses is:
2 + 4 + 5 + 3 + 1 = 15
Therefore, the mean length of the roses is:
221 / 15 = 14.73 ≈ 24 cm
So, the answer is 24 cm.
Explanation: