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viva [34]
3 years ago
9

he bowling scores for six people are: 22, 114, 115, 120, 122, 125 What is the most appropriate measure of center?

Mathematics
2 answers:
Afina-wow [57]3 years ago
5 0

The median is right for apex

Aleks [24]3 years ago
3 0
The answer is the median m = 117.5.

Explanation:
let's calculate the three central tendency measures:
- mean = μ = (<span>22 + 114 + 115 + 120 + 122 + 125) / 6 = 103

- median = m: we have 6 values, therefore the median will be the average between the third and the fourth value:
</span><span>22 114 115 | 120 122 125
m = (115 + 120) / 2 = 117.5

- mode: all the values appear only once, therefore the mode is not applicable.

Since our values are not symmetrically distributed (we have 22 which differs a lot from the other values), the median should be preferred than the mean as best central tendency measure.
</span>
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5. A store sells bags of pecans for $3.00, bags of walnuts for $3.50, and bags of almonds for $4.00. One day, 15
kondaur [170]

Answer:

x = 4

y = 6

z = 5

Step-by-step explanation:

Let

bags of pecans = x

bags of walnuts = y

bags of almonds = z

x + y + z = 15

3x + 3.5y + 4z = 53

Two more bags of walnuts were sold than pecans.

Walnuts = x + 2

x + y + z = 15

3x + 3.5y + 4z = 53

x + x + 2 + z = 15

3x + 3.5(x+2) + 4z = 53

2x + z = 15 - 2

3x + 3.5x + 7 + 4z = 53

2x + z = 13 (1)

6.5x + 4z = 46 (2)

Multiply (1) by 4

8x + 4z = 52 (3)

6.5x + 4z = 46 (2)

Subtract (2) from (3)

8x - 6.5x = 52 - 46

1.5x = 6

Divide both sides by 1.5

x = 4 bags

y = x + 2

= 4 + 2

= 6

y = 6 bags

Substitute the value of x into (1)

2x + z = 13 (1)

2(4) + z = 13

8 + z = 13

z = 13 - 8

= 5

z = 5 bags

Check:

x + y + z = 15

4 + 6 + 5 = 15

5 0
3 years ago
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