PRACTICE OF STATISTICS F/AP EXAM
PRACTICE OF STATISTICS F/AP EXAM
6th Edition
ISBN: 9781319113339
Author: Starnes
Publisher: MAC HIGHER
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Chapter 2, Problem R2.3RE

(a)

To determine

To find: the mean, median, standard deviation and IQR for the transformed data.

(a)

Expert Solution
Check Mark

Answer to Problem R2.3RE

  x¯=13.3232Median=12.8049s=3.8110IQR=2.5915

Explanation of Solution

Given:

  PRACTICE OF STATISTICS F/AP EXAM, Chapter 2, Problem R2.3RE , additional homework tip  1

  x¯=43.70MEDIN=42.00s=12.50Q1=35.50Q3=44.00

Calculation:

Relationship between feet and meter:

  3.2ft=1m1ft=13.28m

The inter quartile range is the difference between the third and the first quartile:

  IQR=Q3Q1=44.0035.50=8.50

Divide by 3.28 to convert the measurement from feet to meter:

  x¯=43.703.28=13.3232MEDIAN=42.003.28=12.8049s=12.503.28=3.8110IQR=8.503.28=2.5915

The shape of the distribution would not be affected because the every data value is converted in the same manner and therefore the data values would remain distributed in the same manner

(b)

To determine

To find: the mean and standard deviation of the errors in feet.

(b)

Expert Solution
Check Mark

Answer to Problem R2.3RE

  x¯=1.1s=12.50

Explanation of Solution

Given:

  PRACTICE OF STATISTICS F/AP EXAM, Chapter 2, Problem R2.3RE , additional homework tip  2

Data of the width of their classroom in feet:

  x¯=43.70s=12.50

Calculation:

The distribution of the errors is every guess decreased by 42. 6. Then mean than decreases by the same amount:

  x¯=43.7042.60=1.1

The standard deviation would remain not affected because the spread would not be changed when every value decreased by the same amount

  s=12.50

(c)

To determine

To find: the percentile for the student who calculated the class room width as 63 feet.

(c)

Expert Solution
Check Mark

Answer to Problem R2.3RE

92nd percentile

Explanation of Solution

Given:

  PRACTICE OF STATISTICS F/AP EXAM, Chapter 2, Problem R2.3RE , additional homework tip  3

  n=sample size =66

Calculation:

The summary statistic is having 66 below n, which shows that the data set is having 66 data values.

It is observed that in the dot plot, that 4 dots are to the right of 63 and 1 dot associates with 63, which means that 66 - 4 - 1 = 61 dots of the 66 dots are to the left of 63.

Required percentile

  Percentile=Number of data values that are less than the individual's data valueTotal number of data values×100%=6166×100%=0.92×100%=92%

Therefore the percentile associating with 63 feet is the 92nd percentile.

Chapter 2 Solutions

PRACTICE OF STATISTICS F/AP EXAM

Ch. 2.1 - Prob. 11ECh. 2.1 - Prob. 12ECh. 2.1 - Prob. 13ECh. 2.1 - Prob. 14ECh. 2.1 - Prob. 15ECh. 2.1 - Prob. 16ECh. 2.1 - Prob. 17ECh. 2.1 - Prob. 18ECh. 2.1 - Prob. 19ECh. 2.1 - Prob. 20ECh. 2.1 - Prob. 21ECh. 2.1 - Prob. 22ECh. 2.1 - Prob. 23ECh. 2.1 - Prob. 24ECh. 2.1 - Prob. 25ECh. 2.1 - Prob. 26ECh. 2.1 - Prob. 27ECh. 2.1 - Prob. 28ECh. 2.1 - Prob. 29ECh. 2.1 - Prob. 30ECh. 2.1 - Prob. 31ECh. 2.1 - Prob. 32ECh. 2.1 - Prob. 33ECh. 2.1 - Prob. 34ECh. 2.1 - Prob. 35ECh. 2.1 - Prob. 36ECh. 2.1 - Prob. 37ECh. 2.1 - Prob. 38ECh. 2.1 - Prob. 39ECh. 2.1 - Prob. 40ECh. 2.2 - Prob. 41ECh. 2.2 - Prob. 42ECh. 2.2 - Prob. 43ECh. 2.2 - Prob. 44ECh. 2.2 - Prob. 45ECh. 2.2 - Prob. 46ECh. 2.2 - Prob. 47ECh. 2.2 - Prob. 48ECh. 2.2 - Prob. 49ECh. 2.2 - Prob. 50ECh. 2.2 - Prob. 51ECh. 2.2 - Prob. 52ECh. 2.2 - Prob. 53ECh. 2.2 - Prob. 54ECh. 2.2 - Prob. 55ECh. 2.2 - Prob. 56ECh. 2.2 - Prob. 57ECh. 2.2 - Prob. 58ECh. 2.2 - Prob. 59ECh. 2.2 - Prob. 60ECh. 2.2 - Prob. 61ECh. 2.2 - Prob. 62ECh. 2.2 - Prob. 63ECh. 2.2 - Prob. 64ECh. 2.2 - Prob. 65ECh. 2.2 - Prob. 66ECh. 2.2 - Prob. 67ECh. 2.2 - Prob. 68ECh. 2.2 - Prob. 69ECh. 2.2 - Prob. 70ECh. 2.2 - Prob. 71ECh. 2.2 - Prob. 72ECh. 2.2 - Prob. 73ECh. 2.2 - Prob. 74ECh. 2.2 - Prob. 75ECh. 2.2 - Prob. 76ECh. 2.2 - Prob. 77ECh. 2.2 - Prob. 78ECh. 2.2 - Prob. 79ECh. 2.2 - Prob. 80ECh. 2.2 - Prob. 81ECh. 2.2 - Prob. 82ECh. 2.2 - Prob. 83ECh. 2.2 - Prob. 84ECh. 2.2 - Prob. 85ECh. 2.2 - Prob. 86ECh. 2.2 - Prob. 87ECh. 2.2 - Prob. 88ECh. 2.2 - Prob. 89ECh. 2.2 - Prob. 90ECh. 2.2 - Prob. 91ECh. 2.2 - Prob. 92ECh. 2 - Prob. R2.1RECh. 2 - Prob. R2.2RECh. 2 - Prob. R2.3RECh. 2 - Prob. R2.4RECh. 2 - Prob. R2.5RECh. 2 - Prob. R2.6RECh. 2 - Prob. R2.7RECh. 2 - Prob. R2.8RECh. 2 - Prob. R2.9RECh. 2 - Prob. T2.1SPTCh. 2 - Prob. T2.2SPTCh. 2 - Prob. T2.3SPTCh. 2 - Prob. T2.4SPTCh. 2 - Prob. T2.5SPTCh. 2 - Prob. T2.6SPTCh. 2 - Prob. T2.7SPTCh. 2 - Prob. T2.8SPTCh. 2 - Prob. T2.9SPTCh. 2 - Prob. T2.10SPTCh. 2 - Prob. T2.11SPTCh. 2 - Prob. T2.12SPTCh. 2 - Prob. T2.13SPT
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