Analysis of Students' Homework Time Distribution
The histogram illustrates the time distribution of students spent on homework. The analysis includes determining the number of participants, proportion spending less than 5 minutes, percentage spending more than 30 minutes, mean time estimation, modal class identification, interquartile range calculation, median determination, and creation of visual aids like frequency table and box plot.
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This histogram represents the time a group of students spent on their homework one evening. Work out as many things as you can!
This histogram represents the time a group of students spent on their homework one evening. Prompts How many students took part in the survey? What proportion of students spend less than 5 minutes on their homework? What percentage of students spent more than 30 minutes on their homework? Draw a Frequency Table for this Histogram Draw a Cumulative Frequency Graph for this Histogram Estimate the mean time students spent on homework. What is the modal class?
This histogram represents the time a group of students spent on their homework one evening. Further Prompts Work out the interquartile range from the Histogram Work out the median from the Histogram Draw a box plot from the Histogram
Mark your work Area of each bar represents the number of students Time Frequency 0 < ? 5 8 5 < ? 15 8 15 < ? 25 12 25 < ? 45 20 48 students are part of this survey ? ?? 5 ?? 48 spent less than 5 minutes on their homework ? 31.25% ?? ???????? spent more than 30 minutes on their homework
Estimating the Mean: Mark your work Time Frequency Midpoint MxF 2.5 20 0 < ? 5 8 10 80 5 < ? 15 8 20 240 15 < ? 25 12 35 700 25 < ? 45 20 ? ?? 1040 48 ?? ???? = = 21. 6 ? Modal Class : 25 < ? 45
Time Frequency 0 < ? 5 8 5 < ? 15 8 15 < ? 25 12 25 < ? 45 20 ????? ???????? = 12th students time? 8 students took less than 5 minutes. The 12th students time is between 5 10 mins. ? ?? ?? ? ? ? ????? ???????? = 10 ????
Time Frequency 0 < ? 5 8 5 < ? 15 8 15 < ? 25 12 25 < ? 45 20 ????? ???????? = 36th students time? ? ? ? ? ? ?? ?? ? ????? ???????? = 10 ????
Time Frequency 0 < ? 5 8 5 < ? 15 8 15 < ? 25 12 25 < ? 45 20 ?????? = 24? ???????? ????? 16 students took less than 15 minutes. 28 students took less than 12 minutes. Therefore 24th student took between 15 25 minutes. ? ?? ?? 1.2? = 8 ? = 62 ? ? 1.2 3 ?????? = 15 + 62 3= 212 3 ?
