Q: Calculate $$6! (6 $$factorial).

$$6 \times 5 \times 4 \times 3 \times 2 \times 1 = 720$$

Q: Given the following starting salaries (in R): 3310, 3355, 3450, 3480, 3480, 3490, 3520, 3540, 3550, 3650, 3730, 3925, what is the 25th percentile ($$P_{25}$$)?

$$3450 + 0.25 \times (3480 - 3450) = 3457.5$$

Question 1

Which of the following best describes the meaning of the notation $$\sum_{i=1}^{n} x_i$$?

Accepted Answer

The sum of all $$x_i$$ values from $$i=1 to$$ $$n.$$

Question 2

Given the data set: 12, 15, 14, 10, 18, what is the sample mean?

Accepted Answer

$$\frac{12+15+14+10+18}{5} = 13.8$$

Question 3

Which of the following statements about the median is correct?

Accepted Answer

The median is the value in the middle when the data are arranged in ascending order.

Question 4

A data set has the following values: 8, 12, 15, 20, 22, 25. What is the median?

Accepted Answer

$$\frac{15+20}{2} = 17.5$$

Question 5

Which measure of central location is most appropriate for categorical data such as favorite soda brand?

Accepted Answer

Mode

Question 6

If a data set is positively skewed, which of the following relationships is most likely true?

Accepted Answer

Mean \u003e Median \u003e Mode

Question 7

Calculate $$6! (6 $$factorial).

Accepted Answer

$$6 	imes 5 	imes 4 	imes 3 	imes 2 	imes 1 = 720$$

Question 8

Given the salaries (in R): 3000, 3200, 3500, 4000, 10000, which measure of central location is most affected by the outlier?

Accepted Answer

Mean

Question 9

What is the range of the following data set: 5, 8, 12, 20, 25?

Accepted Answer

$$25 - 5 = 20$$

Question 10

Which formula is used to find the position of the $$pth $$percentile in a data set of size $$n$$?

Accepted Answer

$$i = \frac{p}{100}(n + 1)$$

Question 11

A sample of 7 exam scores is: 55, 60, 65, 70, 75, 80, 85. What is the 3rd quartile ($$Q_3$$)?

Accepted Answer

80

Question 12

Which of the following is NOT a property of the range as a measure of variability?

Accepted Answer

It uses all data values in its calculation.

Question 13

If $$\sum_{i=1}^{4} x_i = 20$$ and each $$x_i is $$equal, what is the value of $$x_1$$?

Accepted Answer

5

Question 14

A data set has two values that occur most frequently. How is this data set described?

Accepted Answer

Bimodal

Question 15

Given the following starting salaries (in R): 3310, 3355, 3450, 3480, 3480, 3490, 3520, 3540, 3550, 3650, 3730, 3925, what is the 25th percentile ($$P_{25}$$)?

Accepted Answer

$$3450 + 0.25 	imes (3480 - 3450) = 3457.5$$

Question 16

Which of the following is true about quartiles?

Accepted Answer

Q3 is the 75th percentile.

Question 17

If $$n = 0$$, what is the value of $$n!$$?

Accepted Answer

1

Question 18

A hospital administrator wants to summarize the ages of patients admitted in a week. The ages are: 22, 25, 25, 30, 34, 40, 60. Which measure is most resistant to the outlier (age 60)?

Accepted Answer

Median

Question 19

Which of the following best describes a symmetric data distribution?

Accepted Answer

Mean = Median = Mode

Question 20

A company wants to know the salary below which 80% of its employees fall. Which statistical measure should be used?

Accepted Answer

80th percentile

Summarising Data: Numerical Methods in Statistics

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