# Recent questions in Data distributions

Data distributions

### For the following exercises, enter the data from each table into a graphing calculator and graph the resulting scatter plots. Determine whether the data from the table could represent a function that is linear, exponential, or logarithmic. $$\begin{array}{|c|c|c|c|c|c|c|c|c|} \hline x & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 \\ \hline f(x) & 9.429 & 9.972 & 10.415 & 10.79 & 11.115 & 11.401 & 11.657 & 11.889 & 12.101 & 12.295 \\ \hline \end{array}$$

Data distributions

### For the following exercises, enter the data from each table into a graphing calculator and graph the resulting scatter plots. Determine whether the data from the table would likely represent a function that is linear, exponential, or logarithmic. $$\begin{array}{|c|c|}\hline x & 0.5 & 1 & 3 & 5 & 7 & 10 & 12 & 13 & 15 & 17 & 20 \\ \hline f(x) & 18.05 & 17 & 15.33 & 14.55 & 4.04 & 13.5 & 13.22 & 13.1 & 12.88 & 12.69 & 12.45 \\ \hline \end{array}$$

Data distributions

### For the following exercises, enter the data from each table into a graphing calculator and graph the resulting scatter plots. Determine whether the data from the table could represent a function that is linear, exponential, or logarithmic. $$\begin{array}{|c|c|c|c|c|c|c|c|c|c|} \hline x & 1.25 & 2.25 & 3.56 & 4.2 & 5.65 & 6.75 & 7.25 & 8.6 & 9.25 & 10.5 \\ \hline f(x) & 5.75 & 8.75 & 12.68 & 14.6 & 18.95 & 22.25 & 23.75 & 27.8 & 29.75 & 33.5 \\ \hline \end{array}$$

Data distributions

### What is the difference between a normal profile of a random variable and normal pdf of a random variable.

Data distributions

### We have a set of n-elements (A), and a set of m-elements (B). $$\displaystyle{n}\ge{0}$$ $$\displaystyle{m}\ge{0}$$ Find how many relations there're from A to B.

Data distributions

### A yoga class consists of 90 males and 110 females. What is the ratio of male to female students?

Data distributions

### 5 building's height's $$\displaystyle\mu={56}$$ m. Three of them are 58m, 55m and 53m. What is the mu for the 2 remaining buildings?

Data distributions

### List all of the elements of $$\displaystyle{\left\lbrace{I},{J},{K}\right\rbrace}\times{\left\lbrace{Q},{R}\right\rbrace}.$$

Data distributions

### Consider the rates of children (under 18 years of age) living in New York with grandparents as their primary caretakers. A sample of 13 New York counties yielded the following percentages of children under 18 living with grandparents. 5.9, 4.0, 5.7, 5.1, 4.1, 4.4, 6.5, 4.4, 5.8, 5.1, 6.1, 4.5, 4.9 a) Obtain and interpret the quartiles. b) Determine and interpret the interquartile range. c) Find and interpret the five-number summary

Data distributions

### A set of test papers was machine scored. Later it was discovered that two points should be added to each score. Student A said, "The mean score should also be increased by two points." Student B added, "The standard deviation should also be increased by two points." Who is right? Justify your answer.

Data distributions

### The data for each grade have the same interquartile range (IQR). Which of the following best compares the two best score distributions? With reference to line plots the data for Sixth grade geography test score is 7 8 8 9 9 9 9 9 10 10 10 11 11 11 12 12 12 14 14 15 The data of seventh grade geography test score is 7 10 10 11 11 11 11 12 12 13 13 13 13 13 14 14 14 15 16 17

Data distributions

### If we add a constant (say, d) for all data values, how this will affect the geometric mean? Give an example.

Data distributions

### A county is populated with 20,899,000 people, while the population is growing at a rate of 3.2% per year. What will the population be in 19 years? Round the answer to the nearest thousand.

Data distributions

### Jack has collected money for a buisness start up from different sources: 1st. $56,500. 2nd.$38,000. 3rd. $128,000. 4th.$22,500. a) Find the total amount collected. b) Detirmine the percentage of each source's money from the total amount. Translate into degrees for a pie chart.

Data distributions

### You have 11 cubes in 8 different colors (1 color repeats 2 times and another one repeats 3 times) that you want to build in a line. How many different lines can be formed with those cubes?

Data distributions

### What do the mean deviation, variance and standard deviation all have in common? How is this common factor (s) helpful with the calculations of the mean deviation, variance and standard deviation?

Data distributions

### Annual sales, in millions of dollars, for 21 pharmaceutical companies follow. 8408 1374 1872 8879 2459 11413 608 14138 6452 1850 2818 1356 10498 7478 4019 4341 739 2127 3653 5794 8305 a. Provide a five-number summary. b. Compute the lower and upper limits. c. Do the data contain any outliers?

Data distributions

### Explain why the tandart deviation would likely not be reliable measure of variability for a distribution of data that includes at least one extreme outlier.

Data distributions