Mathematics

Problem

To test the difficulty level of a new computer game, a company measures the time taken for a group of players to complete the game. Their results are displayed in the table alongside.

Completion time (t min)	Number of players
$0 \le t < 30$	1
$30 \le t < 60$	4
$60 \le t < 90$	12
$90 \le t < 120$	18
$120 \le t < 150$	7
$150 \le t < 180$	2

a. How many players were surveyed? b. Write down the modal class. c. Draw a cumulative frequency graph for the data. d. The game is considered too easy if either the mean or median completion time is below 90 minutes. - i** Estimate the median completion time using your cumulative frequency graph. - ii** Estimate the mean completion time. - iii** Hence comment on whether the game is too easy. e. Complete this sentence: The middle 50% of players completed the game in times between ..... and ..... minutes.

Browse the problem library