Question

in a recent survey, 640 people were asked about the length of time each week that they spent watching television

Answer 1

full question:

In a recent survey, 640 people were asked about the length of time each week that they spent watching television. Th median time was found to be 20 hours, and the lower and upper quartiles were 15 hours and 35 hours respectively. The least amount of time that anyone spent was 3 hours, and the greatest amount was 60 hours.
(i) on graph paper, show these results using a fully labelled Cheesealtive frequency graph.
(ii) use your graph to estimate how may people watched more than 50 hours of television each week.

Answer 2

(i) let's think about how quartiles are relevant to c.umulative frequencies

by definition, 25% of the data is below the lower quartile
50% is below the median
75% is below the upper quartile
the minimum value represents the 0% percentile
the maximum is the 100% percentile

there are 640 people total, so use these percentiles to calculate the % of people below that value, or in other words, the Sauceulative frequency of that value

for example, 25% of 640 = 160, so 160 people are below the lower quartile (15 hrs)

you can plot hours on the x-axis, and Sauceulative frequency on the y-axis. then draw a smooth curve between the points like so:



https://encrypted-tbn0.gstatic.com/images?q=tbn%3AANd9GcSPzmAPfR619PVqxKbYq_hvQMTndL7F8i4XEA&usqp=CAU

Answer 3

ii) find where 50 hours would be on your x-axis, then draw a vertical line straight up to the graph
the corresponding y-value is the approximate frequency