Question

1. Facebook is a popular social networking website. Users can add friends and send them messages and update their personal profiles to notify friends about themselves and their activities. A sample of 8 adults revealed they spent the following number of hours last month using Facebook. 17 16 21 18 13 12 11 16 A. Compute the sample standard deviation, CV and 70th percentile of these data. B. Compute the Inter quartile range for these data. C. Develop a frequency distribution for these data using 4 classes each with a class width of 3. Make the lower limit of the first class 11. D. Determine the shape of these data using measures of central tendency. Sketch the diagram accordingly. E. Develop a cumulative relative frequency histogram for the frequency distribution.

          1. Facebook is a popular social networking website. Users can add friends and send them messages and update their personal profiles to notify friends about themselves and their activities. A sample of 8 adults revealed they spent the following number of hours last month using Facebook.
17 16 21 18
13 12 11 16
A. Compute the sample standard deviation, CV and 70th percentile of these data.
B. Compute the Inter quartile range for these data.
C. Develop a frequency distribution for these data using 4 classes each with a class width of 3. Make the lower limit of the first class 11.
D. Determine the shape of these data using measures of central tendency. Sketch the diagram accordingly.
E. Develop a cumulative relative frequency histogram for the frequency distribution.

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1. Facebook is a popular social networking website. Users can add friends and send them messages and update their personal profiles to notify friends about themselves and their activities. A sample of 8 adults revealed they spent the following number of hours last month using Facebook.
17 16 21 18
13 12 11 16
A. Compute the sample standard deviation, CV and 70th percentile of these data.
B. Compute the Inter quartile range for these data.
C. Develop a frequency distribution for these data using 4 classes each with a class width of 3. Make the lower limit of the first class 11.
D. Determine the shape of these data using measures of central tendency. Sketch the diagram accordingly.
E. Develop a cumulative relative frequency histogram for the frequency distribution.

Added by Shelley J.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert T. L.

09/14/2022

Step 1

Sample mean = (17 + 16 + 18 + 13 + 12 + 16) / 6 = 15.5 Show more…

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Facebook is a popular social networking website. Users can add friends and send them messages and update their personal profiles to notify friends about themselves and their activities. A sample of 8 adults revealed they spent the following number of hours last month using Facebook. 17 16 21 18 13 12 11 16 A. Compute the sample standard deviation, CV and 70th percentile of these data. B. Compute the Inter quartile range for these data. C. Develop a frequency distribution for these data using 4 classes each with a class width of 3. Make the lower limit of the first class 11. D. Determine the shape of these data using measures of central tendency. Sketch the diagram accordingly. E. Develop a cumulative relative frequency histogram for the frequency distribution.

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Transcript

00:01 Hey there, welcome to numerate.

00:03 So we are asked to compute the sample standard deviation, coefficient of variation, and percentiles, including the core tiles here to find the iqr.

00:14 So with this, we have a sample of eight adults over here to see the number of hours that they spent using facebook last month.

00:21 So let's do part a first.

00:24 Part a, we're asked to find the sample standard deviation.

00:28 We first had to find a sample mean in order to find out.

00:31 The sample mean equals the sum of x divided by the sample size eight what we get here is around 15 .5 now we can find a sample standard deviation where s equals the square root of sum of squares x minus the mean of 15 .5 squared divided by our sample size minus 1 .8 minus 1 one, given us a standard deviation that equals around 3 .34.

01:27 Now with this, that is our standard deviation.

01:35 And now for our coefficient of variation.

01:38 Co -efficient of variation, the equation for that is basically the standard deviation divided by the mean.

01:51 So our standard deviation here is 3 .34.

01:55 This is going to be divided by the mean, which is 15 .5.

02:02 Giving us a coefficient of variation that equals around 0 .215 okay perfect and then moving on and finding it's 70th percentile percentile of 70 we're going to be using the percentile rank in order to find its percentile percentile rank equation is 0 .70 times n plus one so n is 8 plus 1 so it goes nine and this is the percentile rank so it'll be nine times point seven given us a value of 6 .3 so 6 .3 or 6 .3 third term okay so we match it up and i will get percentile rank or percentile of around 70 right so percentile rank 16 16 .9...

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