Data on claim amounts for central heating insurance were collected from a large portfolio of an energy company. The amounts (£) of a sample of 24 claims were as follows. 200, 201, 201, 202, 209, 211, 215, 218, 228, 228, 235, 238, 262, 265, 269, 270, 314, 316, 320, 339, 345, 349, 351, 464. Note that for this sample of data, Ex = 6450 and Ex² = 1838620. Calculate the mean and standard deviation of the insurance claim amounts. Draw a stem-and-leaf plot of the data and comment on the shape of the distribution.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Data on claim amounts for central heating insurance were collected from
a large portfolio of an energy company. The amounts (£) of a sample of
24 claims were as follows.
200, 201, 201, 202, 209, 211, 215, 218, 228, 228, 235, 238, 262, 265,
269, 270, 314, 316, 320, 339, 345, 349, 351, 464.
Note that for this sample of data, Ex = 6450 and Ex² = 1838620.
Calculate the mean and standard deviation of the insurance claim
amounts.
Draw a stem-and-leaf plot of the data and comment on the shape of
the distribution.
Transcribed Image Text:Data on claim amounts for central heating insurance were collected from a large portfolio of an energy company. The amounts (£) of a sample of 24 claims were as follows. 200, 201, 201, 202, 209, 211, 215, 218, 228, 228, 235, 238, 262, 265, 269, 270, 314, 316, 320, 339, 345, 349, 351, 464. Note that for this sample of data, Ex = 6450 and Ex² = 1838620. Calculate the mean and standard deviation of the insurance claim amounts. Draw a stem-and-leaf plot of the data and comment on the shape of the distribution.
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