B Nirmala Shastry Solutions for Exercise 3: MISCELLANEOUS EXERCISE

Prepare a frequency distribution table for the following, using class intervals $0-9, 10-19, ...$

$23, 38, 40, 57, 74, 31, 47, 52, 56, 59, 44, 56, 18, 46, 63, 57, 79, 39, 39, 20, 39, 45, 49, 60, 32, 47, 19, 69, 20, 5, 8, 53, 28, 48, 73, 77, 63, 52, 65, 11$

Find the mean and median for the following:

$3, 7, 12, 5, 8, 14, 7$

Find the mean and median for the following:

$11, 5, 2, 8, 4, 5, 7, 9, 1, 12$

The following numbers are pre-arranged in ascending order. Their median is $12$. Find the value of $x$ and their mean.

$6, 9, x, x+2, x+3, 19$

The mean and median of the following are same. Find the value of $x$ if the numbers are arranged in ascending order.

$1, 3, 4, x, 10, 15, 21$

Ten students collected the following amounts(in rupees) for an orphanage:

$250, 450, 500, 750, 300, 650, 200, 350, 500, 650$

Find their mean and median.

The mean temperature of a town in a week in summer is $36°\mathrm{C}$. If the mean temperature of first $4$ days of the week is $35°\mathrm{C}$ and that of Saturday and Sunday is $37°\mathrm{C}$. Find the temperature on Friday.

Construct a cumulative frequency distribution table for the following: