A large investment firm on Wall Street wants to review the distribution of ages of its stockbrokers. The firm believes that this information can be useful in developing plans to recruit new brokers. The ages of a sample of 40 brokers are shown 4628513429403833 41525340503336412538 37413650463361483228 30494137263935394626 3135 Make a stem-and-leafObtain the sample mean andFind the sample 90thCalculate the interquartile range and interpret this value.Summarize the data in a frequency table and draw either a line diagram or aMake a boxplot of theComment on the location and shape of the

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Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.5: Interpreting Data

Problem 1C

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A large investment firm on Wall Street wants to review the distribution of ages of its stockbrokers. The firm believes that this information can be useful in developing plans to recruit new brokers. The ages of a sample of 40 brokers are shown

46	28	51	34	29	40	38	33 41	52
53	40	50	33	36	41	25	38 37	41
36	50	46	33	61	48	32	28 30	49
41	37	26	39	35	39	46	26 31	35

Make a stem-and-leaf
Obtain the sample mean and
Find the sample 90th
Calculate the interquartile range and interpret this value.
Summarize the data in a frequency table and draw either a line diagram or a
Make a boxplot of the
Comment on the location and shape of the

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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HOLT MCDOUGAL

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HOLT MCDOUGAL