Question

5.6 Assessment Task

Directions. Answer the following items. You may use online calculators and solvers in answering.

1. For each of the following data sets determine the mean:

a. 72, 14,8, 11,57,54,31, 11,67,11,19,3,66 b. 63,9,87,16, 2, 96,13,67,34

c. 1,6,8,2,7,2,9,4,8,9,8,6 d. 12, 0,4,5,8, 3,6, 35,47

e. 2, 7, 17, 33, 67,73, 88, 33, 92, 57,33

2. For each of the following data sets determine the median:

a. 48, 78, 10, 66, 45, 57,96,67, 40, 66, 63,8, 20 b. 28, 3, 10, 60, 8, 23, 45, 97,11, 10

c. 6,9,1, 6, 4, 8, 1, 7, 8, 3, 1, 0

d. 63, 9, 86, 16, 2, 97,24, 67, 34,40 e. 8, 4, 64, 99, 11, 42, 15,88, 54, 77,42

3. For each of the following data sets determine the mode:

a. 98, 37,5,33, 96, 67, 43, 33, 91, 33,32,8,11 b. 104, 2, 51,31,8, 101, 104, 18,47

c. 3, 4, 5, 3,9,8,5,7,2,5,1

d. 19, 1,9,6,4,2,13,15,24,2

e. 8,9,39,44,55,90,19,44,28,69,44

43/76

Answer 1

1.

a.

$$mean=\dfrac{1}{13}(98+37+5+33+96+67$$

$$+43+33+91+33+32+8+11)=\dfrac{587}{13}$$

b.

$$mean=\dfrac{1}{9}(63+9+87+16+2+96+13$$

$$+67+34)=43$$

c.

$$mean=\dfrac{1}{12}(1+6+8+2+7+2+9$$

$$+4+8+9+8+6)=\dfrac{35}{6}$$

d.

$$mean=\dfrac{1}{9}(12+0+4+5+8+3+6+35+47)$$

$$=\dfrac{40}{3}$$

e.

$$mean=\dfrac{1}{11}(2+7+17+33+67+73$$

$$+88+33+92+57+33)=\dfrac{502}{11}$$

2.

a.

$$8,10,20,40,45,48, 57,63,66,66,67,78, 96$$

$$median=57$$

b.

$$3,8,10,10,11, 23, 28, 45, 60, 97$$

$$median=\dfrac{11+23}{2}=17$$

c.

$$0,1,1,1,3,4,6,6,7,8,8,9$$

$$median=\dfrac{4+6}{2}=5$$

d.

$$2,9,16, 24,34,40, 63, 67, 86, 97$$

$$median=\dfrac{34+40}{2}=37$$

e.

$$4,8, 11,15, 42, 42, 54, 64, 77, 88, 99$$

$$median=42$$

3.

a.

$$5,8,11,32, 33,33, 33, 37, 43, 67, 91, 96, 98$$

$$mode=33\ appeared\ 3\ times$$

b.

$$2,8, 18, 31,47, 51, 101, 104, 104$$

$$mode=104\ appeared\ 2\ times$$

c.

$$1, 2, 3, 3, 4, 5, 5, 5, 7, 8, 9$$

$$mode=5\ appeared\ 3\ times$$

d.

$$1,2,2,4, 6, 9, 13, 15,19, 24$$

$$mode=2\ appeared\ 2\ times$$

e.

$$8,9, 19, 28, 39,44, 44, 44, 55, 69, 90$$

$$mode=44\ appeared\ 3\ times$$