The given data set is: 5, 8, 14, 7, 9, 5, 11, 5. The number of observations is $n=8$. i) Mean: The mean is the sum of all values divided by the number of values.
Sum = $5 + 8 + 14 + 7 + 9 + 5 + 11 + 5 = 64$.
Mean = $\frac{64}{8} = 8$. This matches (d). So, i-d. ii) Median: First, arrange the data in ascending order.
Ordered data: 5, 5, 5, 7, 8, 9, 11, 14.
Since $n=8$ (even), the median is the average of the two middle terms (4th and 5th terms).
Median = $\frac{7 + 8}{2} = \frac{15}{2} = 7.5$. This matches (a). So, ii-a. iii) Mode: The mode is the value that appears most frequently in the data set.
The value 5 appears 3 times, which is more than any other value.
Mode = 5. This matches (c). So, iii-c. iv) Range: The range is the difference between the maximum and minimum values.
Maximum value = 14. Minimum value = 5.
Range = $14 - 5 = 9$. This matches (b). So, iv-b.
The correct matching is i-d, ii-a, iii-c, iv-b.
