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timama [110]
3 years ago
11

Find (a) the range and (b) the standard deviation of the data set 40,35.45,55,60. Round to the nearest hundredth if necessary.

Mathematics
1 answer:
zmey [24]3 years ago
5 0

Answer:

(a) 25

(b) 9.27

Step-by-step explanation:

Step 1

We have to rearrange the given days set from least to highest

35, 40, 45, 55, 60

(a) the range

Range = The highest number - The least number

= 60 - 35

= 25

(b) the standard deviation of the data set

35, 40, 45, 55, 60.

We find the Mean

Mean = Sum of values/Number of values

= 35+40+45+55+60/5

= 235/5

= 47

We can find the standard deviation now.

The formula =

√(x - Mean)²/n

= √(35 - 47)²+ (40 + 47)² + (45 - 47)² + (55 - 47)² + (60 - 47)²/5

= √144 + 49 + 4 + 64 +169/5

= √430/5

= √86

= 9.273618495

Approximately = 9.27

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3 years ago
Men and women (ages 22–40) were surveyed to choose a favorite free-time activity: playing sports, dancing, or watching movies/TV
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3 0
3 years ago
What is the answer to this??
Firdavs [7]

Answer:

x=3

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Step-by-step explanation:

6x+97 and 14x+73  are vertical angles which means they are equal

6x+97= 14x+73

Subtract 6x from each side

6x-6x+97= 14x-6x+73

97 = 8x +73

Subtract 73 from each side

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Divide each side by 8

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Combine like terms

115+z = 180

Subtract 115 from each side

115-115 +z=180-115

z = 65

3 0
3 years ago
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