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Chapter 3: Q 3.18 . (page 101)

Consider these sample data: $x_{1} = 12, x_{2} = 8, x_{3} = 9, x_{4} = 17$
a) Find $n$ .
b) Compute $\sum x_{i}$ .
c) Determine $\bar{x}$ .

Short Answer

Expert verified

$a) 4 b) 46 c) 11.5$

Step by step solution

01

Step 1. Given information.

Consider these sample data: $x_{1} = 12, x_{2} = 8, x_{3} = 9, x_{4} = 17$

02

Step 2. Find n.

The sample size is $n = 4$ .

03

Step 3. Compute ∑xi.

$\sum_{i = 4} x_{i} = x_{1} + x_{2} + x_{3} + x_{4} = 12 + 8 + 9 + 17 = 46$

04

Step 4. Compute x-.

$\bar{x} = \frac{\sum_{i = 4} x_{i}}{n} = \frac{46}{4} = 11.5$

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Most popular questions from this chapter

Simple data sets have been given for you to try locating the descriptive metrics mentioned in this section. For each data set separately.

(a) Calculate the quartiles,

(b) calculate the interquartile range

(c)compile a five-number summary.

$1, 2, 3, 4, 5, 1, 2, 3, 4, 5$

Explain in detail the purpose of a measure of center.

We have provided simple data set for you to practices the basics of finding measures of center. For each data set determine the:

a) Mean

b)Median

c) Mode.

The given data set is: $1, 9, 8, 4, 3$ .

We have provided simple data set for you to practices the basics of finding measures of center. For each data set determine the:

a) Mean

b)Median

c) Mode.

The given data set is $3, 5, 7$

The data set has mean $30$ and standard deviation $4$ . Approximately what percentage of the observations lie between $22$ and $38$ ?

See all solutions

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