The time taken for each person in a group to complete a puzzle is given below.Time Taken (Minutes)< 5< 7< 10< 15< 20< 25Number ofPeople481329233Find an estimate for the mean and standard deviation of the data.(Use the mid points)Construct a cumulative frequency table for the data and draw a cumulative frequency graph.(Use the upper bounds)Using the graph, estimate the semi-interquartile range for the data.Using interpolation, find the median of the data 3. The time taken for each person in a group tocomplete a puzzle is given below.Time Taken(Minutes)<5<7< 10< 15< 20<< 25Number ofPeople481329233(a) Find an estimate for the mean and stan-dard deviation of the data.(Use the mid points)(b) Construct a cumulative frequency tablefor the data and draw a cumulative fre-quency graph.(Use the upper bounds)(c) Using the graph, estimate the semi-interquartile range for the data.(d) Using interpolation, find the median ofthe data.

The frequency distribution of the time taken (in minutes) to solve the puzzle is given as…

Answered: 3. The time taken for each person in a…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter9: Solving Quadratic Functions

Section: Chapter Questions

Problem 4CA

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The time taken for each person in a group to complete a puzzle is given below.
Time Taken (Minutes)
< 5
< 7
< 10
< 15
< 20
< 25

Number of

People

Find an estimate for the mean and standard deviation of the data.
(Use the mid points)
Construct a cumulative frequency table for the data and draw a cumulative frequency graph.
(Use the upper bounds)
Using the graph, estimate the semi-interquartile range for the data.
Using interpolation, find the median of the data

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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