Homework Time: Data Analysis & Interpretation
Explore a histogram depicting student homework time, analyze key insights such as the number of students surveyed, time spent on homework, mean time estimation, modal class identification, interquartile range determination, and more. Discover how to interpret frequency tables, cumulative frequency graphs, and box plots based on the data provided.
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Presentation Transcript
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 ?
