Question

In: Statistics and Probability

1. The data give the number of computers sold by an electronic store for a sample...

1. The data give the number of computers sold by an electronic store for a sample of 11 days.(12points)197252026441817121421a) Calculate the values of the three quartiles and the interquartile range.b) Is there an outlier? Justify your answer.c) Find the 68thpercentile. Briefly explain what it means.

Solutions

Expert Solution

GIVEN THAT :-

according to the question we have the values as the given data a sample of 11

19,7,25,20,26,44,18,17,12,14,21

TO FIND :a) Calculate the values of the three quartiles and the interquartile range.

at first arrange the data in ascending order

7, 12, 14, 17, 18, 19, 20, 21, 25, 26, 44

from the above we have the 19 in the middle so taking the  second quaritle first

Second quartile ( Median ) : 19

First quartile : 14

Third quartile : 25

IQR = Third quartile -  First quartile

IQR = 25 - 14

=11

as we know that interquartile range is 11.

TO FIND :b)Is there an outlier?

first finding the lower fence we have a formula =firstquartile - ( 1.5 * IQR )

= 14 - ( 1.5 * 11 ) (since we have the both values first quertile and IQR from above)

there fore lower fence = -2.5

now finding the upperfence we have a fromula =Second quartile - ( 1.5 * IQR )

= 25 + ( 1.5 * 11 )

there fore upper fence is =  41.5

So the values in between both values are called outliers.

THERE FORE values less than -2.5 and greater than 41.5 are outliers.

44 is an outlier.

TO FIND :-C)Find the 68thpercentile. Briefly explain what it means.

now finding it we need to find that using the values p=0.68 and n=11 from the question

so we have a formula i=p*n

substituting the values of p ,n in the above" i " we get that

i = (0.68 * 11)

i = 7.48 = 8 (approx)

the 68th percentile is the value at 8th position

So from the above accending order 8th position so it is 21 .

Please give us rating


Related Solutions

The data table below shows the number of computers sold at the Bronco Store in a...
The data table below shows the number of computers sold at the Bronco Store in a week, based on online advertising. Online Ads              Computers Sold 2                             25       1                             10 4                             30 1                             10 Sx = 10 2                             25 Sy = 100 a. Calculate the means for both Ads and Computers Sold. b. Calculate the slope for the estimated regression equation. The (x-x)(y-y) = 40, just need to calculate denominator.    c. Calculate the y-intercept for the estimated regression equation.   ...
The number of computers sold during one day by a small store is a random variable...
The number of computers sold during one day by a small store is a random variable XX with the following distribution: P(0)=0.12,P(1)=0.19,P(2)=0.19,P(3)=0.12,P(4)=0.06,P(5)=0.32P(0)=0.12,P(1)=0.19,P(2)=0.19,P(3)=0.12,P(4)=0.06,P(5)=0.32 a. Compute the expected value E(X)E(X). Give your answer two decimal places. E(X)=E(X)= b. Compute the standard deviation σ(X)σ(X). Give your answer two decimal places. σ(X)=σ(X)= 1 point) The problem below describes an experiment and defines a random variable. (a) Find the distribution of the random variable (and provide it as a chart). (b) Calculate the expected value...
ComputerGeeks. com is a retail store that sells computers, laptops, supplies, and other electronic devices. The...
ComputerGeeks. com is a retail store that sells computers, laptops, supplies, and other electronic devices. The adjusted account data is given below from the year ended December 31, 2019 Accounts Payable 14,140 Accounts Receivable 19,250 Accumulated Depreciation - Building 13,000 Accumulated Depreciation - Delivery Equipment 3,600 Accumulated Depreciation - Office Equipment 2,500 Accumulated Depreciation - Warehouse Equipment 2,300 Allowance for Doubtful Accounts 2,250 Bruce Zaro, Capital 60,940 Bruce Zaro, Drawing 24,000 Building 48,500 Cash 12,200 Delivery Equipment 16,400 Delivery Wages...
In a simple random sample of 100 households, the sample mean number of personal computers was...
In a simple random sample of 100 households, the sample mean number of personal computers was 1.32. Assume the population standard deviation is 0.41. Construct a 95% confidence interval for the mean number of personal computers. (a) (1.24, 1.40) (b) (1.25, 1.39) (c) (0.15, 0.67) (d) (0.19, 0.63)
Two computer stores recorded the number of computers sold in a week along with the sizes...
Two computer stores recorded the number of computers sold in a week along with the sizes of their hard drives. At a = .05, test the claim that the distribution of hard drives and the store where the computers were bought are not related. store one sold 13 20gb, 11 40gb, 11 80gb, 8 160gb. store two sold 104 20gb, 33 40gb, 15 80 gb, 10 160gb Hypothesis with claim Draw Curve Critical Value Test Value Decision Summary
Two computer stores recorded the number of computers sold in a week along with the sizes...
Two computer stores recorded the number of computers sold in a week along with the sizes of their hard drives. At a = .05, test the claim that the distribution of hard drives and the store where the computers were bought are not related. store one sold 13 20gb, 11 40gb, 11 80gb, 8 160gb. store two sold 104 20gb, 33 40gb, 15 80 gb, 10 160gb Hypothesis with claim Draw Curve Critical Value Test Value Decision Summary
The following table shows the frequency distribution for the number of personal computers sold during the...
The following table shows the frequency distribution for the number of personal computers sold during the past month in a sample of 40 computer stores located on the island. Computers sold Number of stores 4 < 13 6 13 < 22 9 22 < 31 14 31 < 40 7 40 < 49 4 Calculate the mean. Provide your answer to a decimal place.
In a C language program CODE BLOCKS !!!!!!!! Program that stores the number of computers sold...
In a C language program CODE BLOCKS !!!!!!!! Program that stores the number of computers sold by three vendors in four different zones. Is required:  Request the sale amount of each seller by zone, the values must be entered through the keyboard and validate that it does not accept negative numbers.  Menu that requests the operation to be carried out. In case of entering an invalid data, send an error message and request the operation again.  Option...
2. One week a computer store sold a total of 36 computers and external hard drives....
2. One week a computer store sold a total of 36 computers and external hard drives. The revenue from these sales was $25600. If computers sold for $1180 per unit and hard drives for $125 per unit, how many of each did the store sell? How many computers were​ sold? How many external hard drives were​ sold? 3. You invested $7000 between two accounts paying 3% and 9% annual​ interest, respectively. If the total interest earned for the year was...
EXERCISE 1. A shop sells home computers. The numbers of computers sold in each of five...
EXERCISE 1. A shop sells home computers. The numbers of computers sold in each of five successive years were as follows: Year (x) 1 2 3 4 5 Sales (y) 10 30 70 140 170 Draw a scatter diagram for the data Find the least squares regression line of y on x and fit it on you scatter plot The shop manager uses this regression line to predict the sales in the following (i.e. the 6th) year. Find the predicted...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT