Solution:

Given data:

Marks: 5-14 15-24 25-34 35-44 45-54 55-64
No. of Students 10 18 32 26 14 10

Mean:

- The mean is the average of all the values in a dataset.
- To find the mean, we need to add up all the values and divide by the total number of values.
- Mean = (sum of all values) / (total number of values)

Calculation of Mean:

- Sum of all values = (10 x 9 + 18 x 19 + 32 x 29 + 26 x 39 + 14 x 49 + 10 x 59)
- Sum of all values = (90 + 342 + 928 + 1014 + 686 + 590)
- Sum of all values = 3600
- Total number of values = 10 + 18 + 32 + 26 + 14 + 10 = 110
- Mean = (sum of all values) / (total number of values) = 3600 / 110
- Mean = 32.727

Therefore, the mean of the given data is 32.727.

Median:

- The median is the middle value in a dataset when the data is arranged in order.
- If there is an odd number of values, the median is the middle value.
- If there is an even number of values, the median is the average of the two middle values.

Calculation of Median:

- The total number of values in the given data is 110, which is even.
- To find the median, we need to arrange the data in order.
- Arranging the data in order, we get: 10, 10, 14, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18,