Question

please answer question 1 ASAP and thank you

DIU LIL HUITWork 1 Using the midpoints of the indicated ranges of X (ie. 1.90 gram for the first class), to Note: To get full credit for your homework, you need to show step by step calculation which includes the formula, how to apply the date of question to the formule, and answer with an appropriate unit. Showing only the final solution (e.g, a single number) will get NO credit! Homework is due in class on February 11, 2020. No late assignments will be accepted. 1. Identify whether the following variables are numerical or categorical. If numerical, state whether the variable is discrete or continuous If categorical, state whether the categories have a natural order (ordinal) or not (nominal) (10 pts) (a) Fraction (or percentage) of birds in a large sample infected with avian flu virus (b) Number of crimes committed by a randomly sampled individual (c) Gender (d) Logarithm of body mass (e) Stage of fruit ripeness (e.g. underripe, ripe, or overripe) (1) Tree species (g) Petal area of rose flowers 2. What feature of an estimate-precision or accuracy - is more strongly affected when individuals differing in the variable of interest do not have an equal chance of being selected? Explain. (5 pts) 185-1.95 1.902 1.95-205201 205-215 (21) 2 215 225 22) 225-235 (23) 235-245 24 10 245-255 (25) 255-265 (26) 3 265 275 (27) 1 (b) Calculate the mean leaf weight (c) Calculate the median leaf weight using two different equations discussed in class. (d) Determine the mode of the frequency distribution (e) Calculate the sum of squares using two formulas (1) Calculate the variance, the standard deviation, and the coefficient of variation 5. If you drive from New York to Boston at 55 MPH, and return at 75 MPH. What is your overall average speed? (10 pts) 6. Each of 100 individuals of a mammal species was placed in enclosure containing equal amount of each of five different foods. The frequency with which the animals chose each of the foods was (15 pts) Food iter Sample 1 Sample 2 (1) 3. Systolic blood pressure was measured (in units of mm Hg) during preventative health examinations on people in Dallas, Texas. Here are the measurements for a subset of these patients. (20 pts) . 112, 128, 108, 129, 125, 153, 155, 132, 137 (a) What is the mean of this sample? (b) What is the median of this sample? (c) Compute the sum of squares using two different formulas. Are they the same? (d) What are the mean deviation, variance, standard deviation, and coefficient of variation? 4. Consider the following frequency table of leaf weights (in grams): (30 pts) (a) Draw a histogram using the data in the frequency table below. 2 20 20 3 1746 21 5 24 18 (a) Calculate the Shannon-Wiener diversity Index and evenness index for each sample. (b) Which sample has higher diversity? (c) Describe a sample frequency (of n = 100) that achieve the highest diversity. 7. Consider the following data, which are a sample of amino acid concentrations (mg/100ml) in arthropod hemolymph: 240.6. 238.2. 236.4, 244.8. 240.7. 241.3, and 237.9. (10 pts) (a) Calculate the first quartile (Q.), the third quartile (Q.). Interquartile range, and semi- interquartile range. (b) Calculate the 20 and 60 percentiles

answer a,b,c,d,e,f,g and thank you

Answer 1

This question based on types statistical variables

So first lets understand types of variable and how to differentiate them

There are two types of variables

Numerical

Categorical

1)Numerical variables also known as quantitative variable includes measurements, numbers which can be counted like number of student ,height etc

It is of two type

Discrete variables = It can usually be counted in a finite matter.example number of student in class we know ans will be a whole integer like 0,1,2

Continuous variables = it is opposite of discrete variable and includes measurements which cannot be counted like weight

2) Categorical variable also known as qualitative variables includes description of groups or thing like colour of eye , type of clothes etc which we cannot count

It is of two type

Nominal variable =it is used to name label or categories variables and not include any order example hair colour ,type of chair etc

Ordinal variables = it is used to categorise variable in order from ascending to descending example food rating of a restaurant

Now lets answer the question

A) Numerical continous variable

As percentage of birds infected can be decimal numbers also like 50.5 or 83.67

B)Numerical discrete variable as number of crime can be whole integer only and can be counted

C) Categorical Nominal variable

As gender can be categorised in male or female

D) Numerical continous variable as we can get logarithm of body mass cannot be counted and answer can be in decimal form also

E) Categorical ordinal variables

As variable is categorised in order of ripeness from unripe to overly ripe

F) Categorical nominal variable

As we are naming different types of species of tree

G)Numerical continous variable

as numbers are not fixed we cannot count