Question

Q1. Find the population variance and standard deviation: Population: 1, 19, 25, 15, 12, 16, 28, 13,6 Q2. The weight, in grams, of the pair of kidneys in adult males between the ages of 40 and 49 has a bell- shaped distribution with a mean of 325 grams and a standard deviation of 30 grams. (a) About 95% of kidney pairs will be between what weights? (b) What percentage of kidney pairs weighs between 235 grams and 415 grams Q3. For the given data values The results are shown next. Store Brand 21 23 24 23 28 31 27 33 29 a) Five number summary b) Lower fence and Upper fence c) Construct a box plot d) Does it has any outlier(s)?

Answer 1

Q1:

n = 9

x	$(x-\bar{x})^2$ $=(x-15)^2$
1	196
19	16
25	100
15	0
12	9
16	1
28	169
13	4
6	81
	$\sum (x-\bar{x})^2=576$

Population variance:

$\sigma ^2=\frac{\sum (x-\bar{x})^2}{n}$

$\sigma ^2=\frac{576}{9}$

$\sigma ^2=64$

Population variance = 64

Population standard deviation:

$\sigma =\sqrt{\sigma ^2}$

$\sigma =\sqrt{64}$

o = 8

Population standard deviation = 8