Answered: The number of visitors to a tourist…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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The number of visitors to a tourist attraction was recorded for a period of 7 sample weeks,
4210 3543 4342 4711 4563 4378
3643
Using the data above, answer the following questions;
a) Find the mode.
b) Using your calculator in STATS mode, or otherwise, calculate the mean to 3 decimal
places.
c) Calculate the median.
d) Calculate the range of the data.
e) Calculate the inter-quartile range of the data. Using your calculator in STATS mode, or otherwise, calculate the standard deviation
of this sample, to 2 decimal places.
g) Sketch a box and whisker diagram of the data.
h) Comment on the skewness of the data (skewed or symmetric). Give a relevant reason for the answer.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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