Question

In: Statistics and Probability

Please complete the following problem. Creating Data Sets NINE students kept track of how many hours...

Please complete the following problem.

Creating Data Sets

NINE students kept track of how many hours they played sports during August. Their mean was 24 hours. How many hours might each of the students have played sports? Your challenge is to make data sets to match the descriptions below. You MAY use a calculator for this activity.

• Create a different data set to match each of the conditions listed below.

• Please circle the median of each set and put a square around the mode, if any.

i. Mean is larger than the median:

ii. Median is larger than the mean:

iii. Mode is larger than the mean:

iv. Mean is larger than the mode:

v. Mode is larger than the median:

vi. Median is larger than the mode:

vii. Mean, median, and mode are equal, but every student did not play the same number of hours:

Expert Solution

Mean: The average value of the data

Median: The middle value of the data. In this case the value of the 5th data point when the data set is arranged in ascending or descending order.

Mode: The value which occurs the highest number of times

Example:

Consider the first data set:

12, 14, 16, 18, 20, 30, 30, 36, 40

In this case,

Mean = Average = (12+14+16+18+20+30+30+36+40)/9 = 216/9 = 24

The data set is aranged in ascending order.

Hence, Median = Value of 5th data point = 20

In this case, 30 appears twice while all other values appear only once.

Hence, Mode = 30

Note: In each data set, median is circled and mode values are kept in square boxes.

orchestra answered 1 year ago

In a survey, students are asked how many hours they in a typical week. A five...

In a survey, students are asked how many hours they in a typical week. A five number summary of the responses is 4,5,8,12,20. Which interval describes the number of hours spent studying in a typical week for about 25% of the students sampled?

Sleeping outlier: A simple random sample of nine college freshmen were asked how many hours of...

Sleeping outlier: A simple random sample of nine college freshmen were asked how many hours of sleep they typically got per night. The results were 8.5 24 9 8.5 8 6.5 6 7.5 9.5 Notice that one joker said that he sleeps 24 a day. (a) The data contain an outlier that is clearly a mistake. Eliminate the outlier, then construct a 99.9% confidence interval for the mean amount of sleep from the remaining values. Round the answers to at...

In a class survey, students are asked how many hours they sleep per night. In the...

In a class survey, students are asked how many hours they sleep per night. In the random sample of 18 students, the (sample) mean is 6.8 hours with a (sample) standard deviation of 1.9 hours. We wish to know if this shows that the class’s student population on average has not gotten at least the recommended 8 hours of sleep at the α = .1 level. The distribution of sleep for this population follows a normal distribution. c) Please use...

A sample of 130 working students at a large university was asked how many hours they...

A sample of 130 working students at a large university was asked how many hours they work in a typical week. A 95% z confidence interval for the average number of hours a week a typical student employee works was (13.5, 15.3) (a)Identify each of the following interpretations as TRUE or FALSE with a brief explanation for each. i. 95% of sampled student workers work between 13.5 and 15.3 hours in a typical week. ii. We are 95% confident that...

2943.problem How many different possible sets of quantum numbers are there for the n = 3...

2943.problem How many different possible sets of quantum numbers are there for the n = 3 shell?

A university system enrolling thousands of students needs to determine how many credit hours, on the...

A university system enrolling thousands of students needs to determine how many credit hours, on the average, each student takes per quarter. From previous studies, the population standard deviation is known to be 2.3 credit hours per quarter. Suppose the administration wanted to estimate the mean to within 0.1 hours with 95% confidence. How large a sample would they need to take?

3. A local college is studying the number of credit hours students take and how many...

3. A local college is studying the number of credit hours students take and how many total minutes they spend reading for fun/pleasure (e.g., non-class-related materials). They don’t know whether to expect that studentswill read more or less when enrolled in a lot of classes/hours or fewer hours. They study 68 students and find a correlation of -0.30. (A) State the decision rule for the 0.05 significance level. (6) Reject H0 if t > _________ (B) Compute the value of...

How many ORBITALS in an atom could have these sets of quantum numbers? Please Explain.

How many ORBITALS in an atom could have these sets of quantum numbers? Please Explain.n=2n=4, ℓ=3n=6, ℓ=3, mℓ=-2

Consider the following three data sets which shows the students’ results for test in the new...

Consider the following three data sets which shows the students’ results for test in the new course launched in the undergraduate program across three sections. Class A:{65;75;73;50;60;64;69;62;67;85} Class B:{85;79;57;39;45;71;67;87;91;49} Class C: {43;51;53;110;50;48;87;69;68;91} Using appropriate statistical tools- numerical and graphical, describe the similarity and differences in the students’ performance among the three classes.

The following class keeps track of how many flavors are at an ice-cream place, and the...

The following class keeps track of how many flavors are at an ice-cream place, and the number of calories of each flavor. The calories of each flavor ice-cream are positive values of type unsigned int and are stored as a dynamically allocated array. The first data member is a pointer that will point to the first element of the array. This array will be of an arbitrary size. The default size of the array shall be 25, but may be...