Question

Consider the following set of data: 15, 20, 21, 20, 36, 15, 25, 15. a. What...

Consider the following set of data: 15, 20, 21, 20, 36, 15, 25, 15.

a. What is the variance?

b. What is the interquartile range?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution:

Given that,

a.

mean = = Xi / n

= ( 15+20+21+20+36+15+25+15) / 8

= 167 / 8

= 20.875

= 20.88

variance = =   ( Xi - )^2 / n

= ( (15-20.88)+(20-20.88)+(21-20.88)+(20-20.88)+(36-20.88)+(15-20.88)+(25-20.88)+(15-20.88))^2 / 8

= 43.86

b.

IQR = Q3 - Q1

Q1 = 1/4 ( n+1) th item

= 9/4

= 2.25

2 th item

Q1 = 20

Q3 = 3/4 (n+1)

= 27/4

= 6.75

7 th item

Q3 = 25

IQR = Q3 - Q1

= 25 - 20

= 5

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the following set of data: 15, 20, 21, 20, 36, 15, 25, 15. a. What...
Consider the following set of data: 15, 20, 21, 20, 36, 15, 25, 15. a. What is the skewness of the data? b. What is the kurtosis of the data? c. What is the excess kurtosis?
Consider the following data set. 14 27 13 14 15 14 11 13 21 11 25...
Consider the following data set. 14 27 13 14 15 14 11 13 21 11 25 26 29 a​) Determine the quartiles for this data. b​) Determine the interquartile range for this data. a​) The first quartile is nothing​, the second quartile is nothing​, and the third quartile is nothing. ​(Type integers or​ decimals.) b​) The interquartile range is nothing. ​(Type an integer or a​ decimal.)
Consider a sample with data values of 26, 25, 20, 15, 32, 34, 29, and 25....
Consider a sample with data values of 26, 25, 20, 15, 32, 34, 29, and 25. Compute the range, interquartile range, variance, and standard deviation (to a maximum of 2 decimals, if decimals are necessary). Range Interquartile range Variance Standard deviation
Consider a sample with data values of 27, 24, 21, 19, 32, 36, 29, and 24....
Consider a sample with data values of 27, 24, 21, 19, 32, 36, 29, and 24. Compute the range, interquartile range, variance, and standard deviation (to a maximum of 2 decimals, if decimals are necessary). Range Interquartile range Variance Standard deviation
Consider the following data: 25 24 18 20 21 18 16 20 23 17 15 13...
Consider the following data: 25 24 18 20 21 18 16 20 23 17 15 13 19 23 24 20 16 26 21 24 15 22 16 12 20 23 19 26 20 25 21 19 21 25 23 26 21 19 20 14 (a) Develop a frequency distribution using classes of 12-14, 15-17, 18-20, 21-23, and 24-26. Class Frequency   12-14   15-17   18-20   21-23   24-26     Total (b) Develop a relative frequency distribution and a percent frequency distribution using the classes...
Consider a sample with data values of 27, 25, 20, 15, 31, 36, 28, and 25....
Consider a sample with data values of 27, 25, 20, 15, 31, 36, 28, and 25. Provide the five-number summary for the data. Five-Number Summary Smallest value First quartile (to 2 decimals) Median (to 2 decimals) Third quartile (to 2 decimals) Largest value
Consider the following hypothetical scores: 21, 25, 37, 38, 39, 42, 44, 45. What is the...
Consider the following hypothetical scores: 21, 25, 37, 38, 39, 42, 44, 45. What is the value of the interquartile range? Group of answer choices 1 5 17 24
Use the accompanying data set to complete the following actions. a. Find the quartiles. b. Find...
Use the accompanying data set to complete the following actions. a. Find the quartiles. b. Find the interquartile range. c. Identify any outliers. 40 51 35 44 40 37 40 48 45 37 36 56 43 36 15 52 37 51 30 30     a. Find the quartiles. The first​ quartile, Q1 is = The second​ quartile, Q2 = The third​ quartile, Q3 = ​(Type integers or​ decimals.) b. Find the interquartile range. The interquartile range​ (IQR) is = ​(Type...
Find the first quartile, the third quartile, and the interquartile range for each data set. (a)...
Find the first quartile, the third quartile, and the interquartile range for each data set. (a) {21, 18, 38, 34, 30, 51, 21, 34} first quartile _________________ third quartile _________________ interquartile range ______________ (b)  {13.1, 7.8, 12.6, 2.3, 6.7, 2.3, 7.4, 2.7, 8.4, 6.6, 6.8, 5.1, 2.2, 5.6, 5.5, 2.1, 7.7, 13.9, 1.6, 1.7}    first quartile _________________ third quartile _________________ interquartile range _____________ (C) {−13, −13, −7, −15, −21, −10, −21, −20, −25, −15} first quartile _________________ third quartile _________________...
Consider the two separate samples given in the data set (samplecomparison.xlsx). Answer the questions below. Data...
Consider the two separate samples given in the data set (samplecomparison.xlsx). Answer the questions below. Data listed below. The range of the first data set is _____ . The variance of the first data set is ____ . (Round to three decimal places as needed) The standard deviation of the first data set is _____ . (Round to three decimal places as needed) The range of the second data set is _____ . The variance of the second data set...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT