Exam 15: Basic Statistics

The following list gives 50 pieces of ranked data (ranked from smallest to largest). Find the 66th percentile.   Ranked data 14 50 85 123 147 16 51 88 125 150 21 51 93 126 151 25 56 99 129 155 29 58 102 131 159 31 60 103 132 162 37 67 106 135 166 39 73 113 141 169 42 75 117 142 173 45 79 121 144 177

A card is chosen from a deck of 52 cards and then placed back in the deck, and a second card is chosen. What is the probability of drawing 2 queens?

A hygrothermograph is used by the weather services to record temperature and relative humidity (see figure labeled "Hygrothermograph"). The lower part of the graph is used to measure relative humidity from 0% to 100%. The upper part of the graph is used to measure temperature from 10° F to 110° F. What is the temperature at 12:00 midnight? Use the data in the figure to answer this question.

Draw a circle graph. A company interviewed its 478 employees to find the toughest day to work of a five-day work week as shown in the table.   Monday Tuesday Wednesday Thursday Friday Number 260 39 51 42 86

Use the frequency distribution to find the mean and the sample standard deviation. Does the data form a normal distribution? Remember: if the data fall within 2% of the empirical rule of 68%, 95%, and 99.7% for one, two, or three standard deviations, respectively, they form a normal distribution.   Weight (lb) Midpoint x Frequency t 1.5-10.5 12 10.5-19.5 39 19.5-28.5 120 28.5-37.5 207 37.5-46.5 368 46.5-55.5 344 55.5-64.5 222 64.5-13.5 100 13.5-82.5 30 82.5-91.5 12

Use the figure below to answer the following question. What is the power gain when the power output is 550 mW?

Find the median measurement for the set of measurements. $2.1$ , $8.7$ , $9.2$ , $7.2$ , $10.4$ , $11.3$ , $12.4$ , $13.7$ , $16.2$ , $10.9$ , $12.7$ , $15.2$ , $20.3$ , $2$ , $30.3$ , $42.4$

The life expectancy of a fluorescent light bulb is given by the number of hours that it will burn. From the following frequency distribution, find the sample standard deviation of life of this type of bulb.   Life of bulb (hours) Midpoint x Frequency f Product xf -0.5-499.5 2 499.5-999.5 11 999.5-1,499.5 14 1,499.5-1,999.5 16 1,999.5-2,499.5 28 2,499.5-2,999.5 34 2,999.5-3,499.5 14 3,499.5-3,999.5 6 Round your answer to the nearest whole number.

Consider the following bar graph. How many barrels of oil per day were used by Japan?

Consider the following bar graph. How many barrels of oil per day were used by the United Kingdom?

Use the figure below to answer the following question. What is the power gain when the power output is 600 mW?

Find the median measurement for the set of measurements. $0.83$ , $0.36$ , $1.68$ , $0.74$ , $1.05$ , $0.76$ , $1.11$ , $1.94$ , $0.064$

The table below gives the female life expectancy for the given countries. Draw a bar graph for these data.   Country Egypt Nigeria Israel Japan France Sweden Canada Mexico U.S. Russia Years 65.8 51.9 80.5 84.9 82.6 82.5 83.8 74.2 79.5 72.6

A hygrothermograph is used by the weather services to record temperature and relative humidity (see figure labeled "Hygrothermograph"). The lower part of the graph is used to measure relative humidity from 0% to 100%. The upper part of the graph is used to measure temperature from 10° F  to 110° F. What was the lowest temperature recorded? Use the data in the figure to answer this question.

In 2000 the United States population by age was as follows: under: 15, 22.2%; 15-29, 21%; 30-44, 25.3%; 45-59, 15.8%; 60-74, 10%; 75 And over, 5.7%.

Find the mean measurement for the set of measurements.   1)66, 2.38, 4.18, 7.12, 3.68, 2.84, 4.18, 8.24, 4.71, 3.62, 6.16, 1.83, 4.18, 2.87, 1.04,9.61, 7.77, 6.39

A pharmacist weighed ten different capsules of the same compound and recorded these measurements. $3,432$ mg, $3,451$ mg, $3,445$ mg, $3,457$ mg, $3,438$ mg, $3,446$ mg, $3,422$ mg, $3,416$ mg, $3,411$ mg, $3,429$ mg What is the median measurement?

Use the data displayed in the table below to draw a run chart for the daily high temperature in November.   November 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 High temperature 44 44 34 40 30 39 29 20 47 48 30 39 21 42 25 15 46 49 32 37 31 37 23 30 38 51 29 26 29 35 December 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 High temperature 20 26 32 45 27 25 30 43 13 30 42 32 33 22 47 30 13 31 39 10 41 39 14 25 27 27 30 8 37 44 12 January 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 High temperature 29 29 29 26 4 44 42 11 31 27 25 16 52 42 21 31 19 20 19 56 22 18 25 12 16 22 39 20 24 21 10

Find the median measurement for the set of measurements. $6.646$ mm, $6.64$ mm, $6.655$ mm, $6.652$ mm, $6.649$ mm

Consider the following bar graph. How many barrels of oil per day were used by Canada? __________ million barrels