Answer:
12.3
Step-by-step explanation:
Step 1
We find the mean
The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100
Mean = Sum of terms/Number of terms
Number of terms = 10
Mean = 61 + 67 + 81 + 83 + 87 + 88 + 89 + 90 + 98 + 100/10
Mean = 844/10
Mean = 84.4
Step 2
Standard deviation
The formula for sample standard deviation =
√(x - Mean)²/n - 1
= √[(61 - 84.4)² + (67 - 84.4)² + (81 - 84.4)² + (83 - 84.4)² + (87 - 84.4)² + (88 - 84.4)² + (89 - 84.4)² + (90 - 84.4)² + (98 - 84.4)² + (100 - 84.4)²]/10 - 1
=√ 547.56 + 302.76 + 11.56 + 1.96 + 6.76 + 12.96 + 21.16 + 31.36 + 184.96 + 243.36/10 - 1
= √1364.4/9
= √151.6
= 12.31259518
Approximately to the nearest tenth = 12.3
The standard deviation = 12.3
Answer:
140 kilometers in 7 weeks
Step-by-step explanation:
20 km x 7= 140 km
Answer:
The correct answer is $3300 for simple interest and $3312.24 for compound interest.
Step-by-step explanation:
Income as working as a lifeguard = $3000
We deposit the money in a bank which offers 2% interest annually for a period of 5 years.
Case 1 : Calculating simple interest for the given situation.
Amount after 5 years = 3000 + 3000 × 2 × 5 × = $ ( 3000 + 300) = $3300.
Case 2 : Calculating compound interest for the given situation.
Amount after 5 years = 3000 × = $ 3312.24.
Thus the amount after 5 years amount simply is $3000 and compoundly is $3312.24
Answer:
small number is 14
Larger number is 31
Step-by-step explanation:
Let x = one number
Let y = the second number
x + y = 45
x = y - 17
Put y - 17 into the top equation for x
y - 17 + y = 45
2y - 17 = 45 Add 17 to both sides
2y = 45 + 17
2y = 62 Divide by 2
y = 62/2
y = 31
Answer:
The answer are (a) measurement on ordinary scale can be ranked, but on nominal scale observation cannot be ranked, (b) on the interval scale measurement can be compared in terms of difference of magnitude, but on ordinary scale, observations cannot be compared in terms of magnitude (c) the point of zero is arbitrary and can be found in any where on the measurement of interval scale
Step-by-step explanation:
Explanation
(a) In nominal scale measurement, observations are classified but in ordinal scale measurement observations are ranked
Therefore additional information of comparing ranking in observation when measurement are gotten from ordinary scale as compared to nominal measurement.
(b) In interval scale measurement can be compared by different magnitude because it is ranked, while ordinary scale measurement, observation can be ranked for comparison
For example the grade of student in a school are grouped under the ordinary scale of measurement due to the fact that Grade A is greater than B
Therefore we have extra information of contrasting observations based on magnitude differences when measurement are gotten form interval scale as against ordinary scale
(c) In the interval scale of measurement, observations are compared in terms of magnitude differences. the point of zero is arbitrary and can found anywhere
For example if a person has no salary what this means is that he has rupes of zero (salary)
Then again, the additional information of the zero point of arbitrary is when measurement is gotten from interval scale. what this suggest is that none is in the scale of ratio