Question

In: Statistics and Probability

Consider the following set of numbers: {3, 5, 2, 5, 5, 15, 2, 2, 4, 4,...

Consider the following set of numbers: {3, 5, 2, 5, 5, 15, 2, 2, 4, 4, 20, 4998, 4} 14. The Q3 of this set is: a. 4 b. 5 c. 2 d. 10 15. The Q1 of this set is: a. 4 b. 5 c. 2 d. 2.5 e. 3

Expert Solution

Solution :

Given data set is {3, 5, 2, 5, 5, 15, 2, 2, 4, 4, 20, 4998, 4}

14. => Answer :- Option d. 10

=> The third quartile(Q3) of the data set is 10.

Explanation :

=> The third quartile (or upper quartile or 75th percentile) is the median of the upper half of the numbers. So, to find the third quartile, we need to place the numbers in value order and find the upper half.

2 2 2 3 4 4 4 5 5 5 15 20 4998

So, the upper half is 5 5 5 15 20 4998

=> The median of these numbers is 10.

15. => Answer :- Option d. 2.5

=> The first quartile(Q1) of the data set is 2.5

Explanation :

=> The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.

2 2 2 3 4 4 4 5 5 5 15 20 4998

So, the bottom half is 2 2 2 3 4 4

=> The median of these numbers is 2.5.

orchestra answered 2 years ago

Consider the set of integers A = {1, 2, 3, 4, 5}. Pairs of numbers are...

Consider the set of integers A = {1, 2, 3, 4, 5}. Pairs of numbers are constructed where each number of the pair comes from set A. Construct the sampling distribution of sample ranges. Apply the Empirical Rule to this distribution.

Consider the following set of ordered pairs. x 4 2 4 3 6 4 y 5...

Consider the following set of ordered pairs. x 4 2 4 3 6 4 y 5 7 7 4 2 7 a) Calculate the correlation coefficient. b) Using alpha equals 0.05, perform a hypothesis test to determine if the population correlation coefficient is less than zero. LOADING... Click the icon to view a portion of the Student's t-distribution table. a) requals nothing (Round to three decimal places as needed.) b) Determine the null and alternative hypotheses. Upper H 0: rho...

Consider a set A = { 1, 2, 3, 4, 5, 6, 8} Consider these relations,...

Consider a set A = { 1, 2, 3, 4, 5, 6, 8} Consider these relations, 1. R1 = { ( a, b) | a = 3b } Can you write down the pairs ? one such pair is ( 3, 1) 2. R2 = { (a, b) | 2a = b } Can you write down the pairs ? one such pair is (2, 4) 3. R3 = { ( a, b) | a >= 2b } Can you...

Consider the data. xi 1 2 3 4 5 yi 4 7 5 11 15 The...

Consider the data. xi 1 2 3 4 5 yi 4 7 5 11 15 The estimated regression equation for these data is ŷ = 0.60 + 2.60x. (a)Compute SSE, SST, and SSR using equations SSE = Σ(yi − ŷi)2, SST = Σ(yi − y)2, and SSR = Σ(ŷi − y)2. SSE=SST=SSR= (b) Compute the coefficient of determination r2. r2 = Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least...

Consider the following function ?(?) = ?^ 4+ 2? ^3 + 8?^ 2+ 5? With the...

Consider the following function ?(?) = ?^ 4+ 2? ^3 + 8?^ 2+ 5? With the initial guesses of ?1 = −2, ?2 = −1, and ?3 = 1, find the minimum of the given function using parabolic interpolation. Perform five iterations, reporting Ɛa based on the location of the minimum (i.e. xopt) and not the actual minimum value. (Round the final answer to four decimal places.)

1. Consider the following data set: D= (5, 10, 15, 15, 5, 10, 15, 15, 5,...

1. Consider the following data set: D= (5, 10, 15, 15, 5, 10, 15, 15, 5, 10, 15, 15) SD= 4.33 How would you add a number to this set while keeping the SD the same? 2. tossing a coin 50 times A. from the 50 flips compute the proportion of heads from your 50 flips. B. For a 95% confidence level find the z critical value C. compute the 95% confidence interval for p, the margin of error from...

Consider the following set of observations: Obs. 1 2 3 4 5 6 7 8 9...

Consider the following set of observations: Obs. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 input 1 2 3 4 5 6 7 8 9 10 11 12 13 14 result 1 2 3 5 8 13 21 34 55 89 144 233 377 610 Enter the data in L1 and L2 in your TI calculator, find the regression line, and construct a scatterplot with the regression line included. Does a line appear to...

2. Consider the following data: x= 1, 2, 3, 4, 5 y =3, 2, 4, 6,...

2. Consider the following data: x= 1, 2, 3, 4, 5 y =3, 2, 4, 6, 5 By hand, not using Matlab, and showing your work: (a) Compute the correlation coefficient. (b) Find the least-squares line. (c) Find the standard deviation around the least-squares line.

Consider the following data set. x 1 2 3 4 5 6 y 3.00 0.21 0.61...

Consider the following data set. x 1 2 3 4 5 6 y 3.00 0.21 0.61 0.70 1.13 1.17 a) plot the data (y versus x). Are there any points that appear to be outliers? If there are, circle them and label as such. b) produce a regression of y against x. Add the regression line to the plot in a). Do you think that the regression line captures the most important features of the data set reasonably well? c)...

Consider the following time series: Period 1, 2, 3, 4, 5, 6, 7, 8 Demand 15,...

Consider the following time series: Period 1, 2, 3, 4, 5, 6, 7, 8 Demand 15, 17, 14, 7, 10, 12, 7, 5 A. using a trend projection, forecast the demand for period 9 b. calculate the MAD for this forecast SHOW ALL WORK! DO NOT USE EXCEL OR PHSTAT!