Quantitative Methods MIDTERM EXAM

Range

Which measure of variability is calculated as the difference between the highest and lowest values?

86.45

The mean of twenty one numbers is 84. If one of the numbers is 35, what is the mean of the other 20?

8

What is the median of the sample 5, 5, 11, 8, 9, 5, 9?

3

The following scores were obtained by eleven footballers in a goal-shoot competition: 5, 8, 9, 8, 7, 8, 3, 11, 9, 3, 2, the modal score is ___?

6

The following scores were obtained by eleven soccer players: 5, 3, 6, 8, 7, 8, 3, 11, 6, 3, 2, the median score is ___?

Median

The middle value in the data set when the values are listed in numerical order

Mean

The average of data set

7.59

The mean of 45 numbers is 8. One number is deleted which is 26. What is the mean of the remaining 44 numbers.

Range

The difference between the greatest and the least value in the data set

mean: 16, median: 15, mode: 14, range:11

Find the mean, median, mode and range of the data. 16, 22, 14, 12, 20, 19, 14, 31

11,11,14,19,20

Find a set of 5 items that has a range of 9, a mean of 15, a median of 14, and a mode of 11.

Grouping method and inspecting method

The two methods of finding mode in a discrete series are ________.

Maximum

Mode refers to the value within a series that occurs ____ number of times.

Decile

What is the measure of position that divides the distribution into ten equal parts.

Q2

Which is equal to 50th percentile?

5th Decile

Which of the following is also called as a Median?

Approximate: 35, Average:37.5, Exact:36.25

The test scores of 20 random students in their Midterm Exam are 35, 42, 40, 28, 18, 23, 33, 28, 18, 28 solve for Q3 approximate average and exact median.

30

If the value of P20 is 15, what is the value of D2?

P75

The ages of students who joined the Math Quiz Bee are the following: 8,8,10,11,13,14,14,15,16,16,17,18,19. What is the position of 17?

based on all observations

One characteristic of measures of dispersion is ____.

MAD

Mean Absolute Deviation

Mean

Which of the following is a measure of central tendency?

The student scored higher than 80% of the test takers

A student scored at the 80th percentile on a standardized test. What can be inferred about the student's performance?

The student's score was among the lowest 25%

A student scored in the first quartile (Q1) on a math test. What conclusion can you make about their relative performance?

The table lacks accuracy in classifying data

A student created a frequency table without including class boundaries. Why might this be considered a poor representation?

Standard Deviation

It is the positive square root of the mean of the squared deviations from their mean of a set of values.

Quantitative Variables

• Expenditure

• Income

Quantitative Scale of Measurement

• Interval

• Ratio