In a set of assignments, a student has achieved the following grades, presented as a set of ungrouped data.

4.4

4.8

4.3

4.2

4.8

4.5

4.6

4.4

4.6

4.6

4.6

4.7

4.5

4.6

4.7

4.7

4.5

4.7

4.4

4.5

1. Use the ungrouped data that you have been supplied with to complete the following:

(a) Arrange the data into five equal classes and produce a frequency table.

(b) Plot a suitable frequency histogram

(c) Create a cumulative frequency table for the data

(d) Plot a suitable cumulative frequency graph

(e) Use your cumulative frequency graph to determine if the data is normally distributed or not. Explain your reasoning

(f) Calculate: i) the mean and standard deviation; ii) the upper and lower quartile values; and iii) the inter-quartile range for the given data.