Answer :
Final answer:
To understand the productivity trends over 21 days, calculate statistical measures such as the mean, median, mode, range, and standard deviation. These measures help in identifying days of peak productivity and any significant deviations from the average production levels.
Explanation:
To analyze the productivity of a production line over 21 days with given production levels, we first need to calculate several statistical measures. These measures include the mean (average), median, mode, range, and the standard deviation to understand the variability and distribution of productivity levels.
First, calculate the mean by summing all the production levels and dividing by the number of days:
Mean = (103 + 120 + 107 + 107 + 110 + 109 + 113 + 100 + 116 + 104 + 104 + 108 + 110 + 105 + 103 + 120 + 112 + 103 + 111 + 112 + 117) / 21
Next, we arrange the production levels in ascending order to find the median (the middle value), and the mode (the most frequently occurring value).
The range is the difference between the highest and lowest production levels, providing a sense of the spread of the data.
The standard deviation will provide insight into the consistency of production levels by measuring the average distance of each production level from the mean.
After calculating these statistical measures, we can identify any trends, such as days with peak productivity or days that deviate significantly from the norm. This could help the factory in decision-making processes related to production efficiency and quality control.
