A typing test is taken by 111 people. The numbers of typing errors they make in the test are summarized in the table below.(Marks 5)

Numberof typing errors 1-5 6-10 11-15 16-20 21-25

Frequency 24 9 21 15 42

Draw a histogram to represent this information.

Calculate mean number of typing error for these 111 people.

State which class contains the lower quartile and which class contains the upper quartile. Hence find the least possible value of the inter-quartile range.

Find standard deviation of these 111 people.

(Marks 5)

Number of rooms occupied 1-20 21-40 41-50 51-60 61-70 71-90

Frequency 10 32 62 50 28 18

Draw a cumulative frequency graph to illustrate this information.

Estimate the number of days when over 30 rooms were occupied.

Calculate quartile deviation.

Measure the skewness of the given distribution.

The following data represent the daily ticket sales at a small theatre during three weeks.

52, 73, 34, 85, 62, 79, 89, 50, 45, 83, 84, 91, 85, 84, 87, 44, 86, 41, 35, 73, 86.

Construct a frequency distribution table with suitable class interval.(Marks 5)

Find A.M, H.M, and G.M.

Find the median and mode of the data.

Calculate _1and _2.