Determine whether each statement is true or false. (a) The number of birds in a tree is an example of a continuous variable.

Question 1

Question 2

Answer to question 1


a) The number of birds sitting on a tree is continuous variable. False

Explanation. This is an example of discrete variable as it is easily countable and will take whole values.

b) If every 14th customer leaving is an example of systematic sampling. True

Explanation: it is statistical method in which the elements are selected in a ordered way from a sampling frame.

c) A histogram is graph that represents the cumulative frequencies. False

Explanation: Histogram will represent the frequencies of the classes. The total of the frequencies will be the cumulative frequencies.

d) if a distribution is negatively skewed, then mean is on right of the median and mode is on the left of the median. False

Explanation: When the distribution is negatively skewed, then the mean will fall to the right of Median and mode to the right of the median. The order from left to right will be (Mean, Median and Mode)

e) there are 1440 ways of selecting the committee which includes 1 assistant, 2 assistant professors and 2 associate professors. True

Explanation: This will use the concept of Combinations, the committee will be selected in the 4C1*9C2*5C2 ways = 1440 ways.

2. Descriptive or Inferential Statistics-

Explanation: The main difference between inferential and descriptive statistics is as follows-

Inferential Statistics – provides conclusions or observations of additional population outside the data set.or make inferences or predictions about the populations.

Descriptive Statistics – Provides or summarizes information about the current data set in form of descriptive measures, charts, graphs etc.

a) a recent study showed, eating garlic reduces blood pressure. Inferential Statistics

b) The average number of students in a class is 22.6. Descriptive Statistics

c) it is predicted that the average number of automobiles will increase the next year. Inferential Statistics

d) last year total attendance in football game was 8235. Descriptive Statistics

e) chance that a person will be robbed in a city is 15%. Inferential Statistics

Answer to question 2

Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered

Step 2

Given: The statements 

121. Every rational number is an integer.

122. Some whole number are not integers,

123. Some rational number are not positive.

To determine: Whether the given statement is true of false.

Step 3



The given statement is “ Every rational number is an integer.”

Here if we consider the number 12 then it is a rational number but not integer,

Therefore the given statement is false.

If we take the statement as “Every integer number is a rational .”

Then this statement is true as for any integer a=a1 is a rational number.


The given statement is “Some whole number are not integers.”

As the whole number are 0, 1, 2, 3, … and integers are …, -3, -2, -1, 0, 1, 2, 3, …

Hence every whole numbers are also an integer

Therefore the given statement is false.

Here if we consider the statement as “Some integers are no whole number”

Then as negative integers are not whole number. 

Therefore this statement is true.


The given statement is “Some rational number are not positive.”

The given statement is true as negative rational numbers (eg.- -12, -23, etc) are not positive.

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