Question

1. The follow data set belongs to a population: 5 -7 2 0 -9 19 10 7 Calculate the range variance and standard deviation, Round the answers to two decimal places Range= Variance = Standard deviation= 2. The following data give the numbers of driving citations received by 12 driver 3 0 12 4 13 8 14 1 15 10 6 2 Find the range variance and standard deviation Range = ________ citations Round the answer to two decimal places Variance =________ Citations Standard deviation= 3.The following data give the prices of seven textbooks randomly selected from a university bookstore. $91 $173 $105 $117 $57 $157 $147 Mean= Deviation from the mean for $173=$ Sum of these deviations= Calculate the range, variance, and standard deviation.Round answer to 2 decimal places Range = $ Variance= Standard deviation=$ 4.The following data give the speeds of 13 cars (in mph) measure by radar travelling on I-84 73 75 69 68 78 70 74 76 72 79 68 77 71 Calculate the value of the 35th percentile Enter the exact answer _____ mph 5)The following data give the annual salaries (in thousand dollars) of 20 randomly selected health care workers. 50 72 57 37 46 64 36 51 35 62 75 40 68 45 76 61 58 54 64 59 Q1= Q2= Q3= IQR= Find the approximate value of the 30th percentile. Calculate the percentile rank of 61. 6)Current Attempt in progress SAT scores 250 300 350 400 450 500 550 600 650 700 750 800 a.Someone who scored a 500 was at the _____ Th percentile B._______ % of people scored between 650 and 700 c) if you are at the 88th percentile, what was your score? _____ d)approximately,what is the first quartile for SAT scores? The third quartile? Q1= Q3=

Answer 1

I have answered questions related to calculating range, variance, standard deviation, percentiles, and quartiles in various data sets.

Step-by-step explanation:

Question 1:

Range = highest value - lowest value = 19 - (-9) = 28

Variance = sum of squared deviations from the mean / number of data points = ((5-7.88)^2²+ (-7-7.88)² + ... + (10-7.88)² + (7-7.88)²) / 8 ≈ 57.75

Standard Deviation = square root of variance ≈ 7.60

Question 2:

Range = highest value - lowest value = 15 - 0 = 15

Variance = sum of squared deviations from the mean / number of data points = ((3-7)²+ (0-7)² + ... + (6-7)² + (2-7)²) / 12 ≈ 11.75

Standard Deviation = square root of variance ≈ 3.43

Question 3:

Mean = sum of all data points / number of data points = ($91 + $173 + ... + $147) / 7 = $891 / 7 ≈ $127.29

Deviation from the mean for $173 = $173 - $127.29 = $45.71

Sum of these deviations = ($45.71 + (-$56.29) + ... + $19.71) = $85.71

Range = highest value - lowest value = $173 - $57 = $116

Variance = sum of squared deviations from the mean / number of data points = (($91-$127.29)² + ($173-$127.29)² + ... + ($147-$127.29)² / 7 ≈ $6509.71

Standard Deviation = square root of variance ≈ $80.68

Question 4:

The value of the 35th percentile can't be calculated with the given data. We would need the exact data distribution to calculate it.

Question 5:

Q1 (First Quartile) = 54

Q2 (Second Quartile/Median) = 58

Q3 (Third Quartile) = 64

IQR (Interquartile Range) = Q3 - Q1 = 64 - 54 = 10

Approximate value of the 30th percentile = Q1 + (0.3 * IQR) = 54 + (0.3 * 10) = 57

Percentile rank of 61 = (Number of scores lower than 61) / Total number of scores = 7/20 * 100 = 35

Question 6:

a. Someone who scored a 500 was at the 50th percentile.

b. 20% of people scored between 650 and 700.

c. If you are at the 88th percentile, your score was approximately 750.

d. Approximately, the first quartile for SAT scores is 400 and the third quartile is 700.