MMW

The calories per serving of 11 fruits juices are shown in the table below: 150, 110, 100, 35, 60, 130, 40, 140, 120, 160, 110 Find the median.

110 First, arrange the data in ascending order: 35, 40, 60, 100, 110, 110, 120, 130, 140, 150, 160 Since there are 11 data points (an odd number), the median is the middle value. In this case, the middle value is the 6th value in the ordered list. The 6th value is 110. So, the median of the given data set is 110.

The arithmetic mean is 25 and the sum of all observations is 350. Find the number of observations.

14 Number of Observations = 350 / 25 = 14

Eight encoders were given a typing test, and the times (in minutes) to complete the test were as follows: 8, 12, 15, 14 19, 21 24, 38. What is the median score of the encoders?

17 8,12,14,15,19 15+19=34 34/2=17

the lengths of confinement (in days) for a sample of 9 patients in Ward C are 17. 19. 19, 4, 19, 26. 3. 21, and 19. What is the modal length of confinement?

19 The lengths of confinement are as follows: 17, 19, 19, 4, 19, 26, 3, 21, 19 In this data set, the value "19" appears most frequently, a total of four times. Therefore, the modal length of confinement is "19" days.

If the standard deviation s = 1.56, what is the variance?

2.43 Variance (σ^2) = Standard Deviation (σ)^2 So, if the standard deviation (σ) is 1.56, you can calculate the variance as follows: Variance (σ^2) = 1.56^2 = 2.4336 Therefore, the variance is 2.4336.

The mean age of 5 persons in a meeting is 20. The 28 year old chairman joined them. What is the new mean age of the persons present in the meeting? Round off your answer to the nearest whole number.

21 Before the chairman joined, the mean age of the 5 persons was 20, so their total age was 5 * 20 = 100. When the 28-year-old chairman joined, there were 6 persons in the meeting, and their total age became 100 (from the original 5 persons) + 28 (the chairman's age) = 128. Now, to find the new mean age: New Mean Age = Total Age / Number of Persons New Mean Age = 128 / 6 = 21.33 Rounded to the nearest whole number, the new mean age of the persons present in the meeting is indeed 21. So, the answer is 21.

What is the sample variance for the following set of scores: 2, 4, 9, 11, 14 ?

24.5 Calculate the mean: Mean = (2 + 4 + 9 + 11 + 14) / 5 = 40 / 5 = 8 Find the squared differences between each data point and the mean: (2 - 8)^2 = 36 (4 - 8)^2 = 16 (9 - 8)^2 = 1 (11 - 8)^2 = 9 (14 - 8)^2 = 36 Sum the squared differences: 36 + 16 + 1 + 9 + 36 = 98 Divide the sum by (n - 1): Sample Variance = 98 / (5 - 1) = 98 / 4 = 24.5 So, the sample variance for the given set of scores is 24.5.

If you have a variance of 9, your standard deviation will be:

3 Standard Deviation (σ) = √Variance (σ^2) = √9 = 3 So, if the variance is 9, the standard deviation is 3.

The number of books sold in each day of a week are 12, 8, 4, 9, 4, 12, 10. Find the sample standard Deviation.

3.35

The amount of rainfall for the first 6 days of October are given as 18.4 cm, 19.2 cm, 16.3 cm, 11.5 cm, 12.8 cm and 11.7 cm. Find its standard deviation.

3.43

By mistake, a nurse has erased the age of one of the ten patients. However, she knows that the average of ten patients is 34 and that the ages of other patients are 32, 36, 27, 44, 46, 28, 30, 27, and 40. What must have been the erased age?

30 The total age of all ten patients can be calculated as follows: Total Age = Average Age * Number of Patients Total Age = 34 * 10 Total Age = 340 Now, subtract the ages of the known nine patients from the total age to find the age of the erased patient: Erased Age = Total Age - Sum of Known Ages Erased Age = 340 - (32 + 36 + 27 + 44 + 46 + 28 + 30 + 27 + 40) Erased Age = 340 - 310 Erased Age = 30 So, the age of the erased patient must have been 30 years old.

If the mean of 5 values equals 64, then what is Ex§- 2

320 ​

The number of nuclear power plants in the top 15 nuclear power-producing countries in the world are listed. 7,20, 16, 6, 58, 9, 20, 50, 23, 33, 8, 10, 15, 16, 104 What is 3 rd quartile

33 Q3 = (3 * (n + 1)) / 4 Where "n" is the number of data points in the dataset. In this case, you have 15 data points, so: Q3 = (3 * (15 + 1)) / 4 Q3 = (3 * 16) / 4 Q3 = 48 / 4 Q3 = 12 So, Q3 is at the 12th position when the data is arranged in ascending order: 6, 7, 8, 9, 10, 15, 16, 16, 20, 20, 23, 33, 50, 58, 104 Q3 is the 12th value in this list, which is 33. Therefore, the third quartile (Q3) is 33

Given the set of scores of RDTC students in 40 item Statistics 15, 15,10, 18, 24, 23, 25, 28, 35, 35, 20,20, 26, 38, 5. Find the range of the raw scores

33 Range = Maximum Value - Minimum Value Range = 38 - 5 Range = 33 So, the range of the raw scores for the RDTC students is 33.

the mean of five number is 28. if one of the number is excluded, the mean gets reduced by 2. what is the excluded number?

36. The mean of five numbers is 28, so the sum of the five numbers is 5 * 28 = 140. When one number (X) is excluded, the mean is reduced by 2, so the new mean is 28 - 2 = 26. The sum of the remaining four numbers when X is excluded is 4 * 26 = 104. Now, to find the value of the excluded number X, you can subtract the sum of the four numbers from the sum of all five numbers: 140 - 104 = 36. So, the excluded number X is 36.

One sample has n = 8 scores and Mean = 2. A second sample has n = 4 and Mean = 8. If the two samples are combined, then what is the mean for the combined sample?

4 Now, let's plug in the values from your description: For the first sample: Mean1 = 2, n1 = 8 For the second sample: Mean2 = 8, n2 = 4 Sum_total = (2 * 8) + (8 * 4) = 16 + 32 = 48 N_total = 8 + 4 = 12 Mean_combined = 48 / 12 = 4 So, the mean for the combined sample is 4.

What is the sample standard deviation for the following set of scores: 2, 4, 9, 11, 14 ?

4.95

The number of observations are 30 and the value of the arithmetic mean is 15 then, the sum of all the value is

450 Sum = 15 * 30 = 450

If you have a highest score of 98 and a range of 51, your lowest score will be:

47 Range = Highest Score - Lowest Score In this case, you know the highest score is 98 and the range is 51. So, you can rearrange the formula to solve for the lowest score: Lowest Score = Highest Score - Range Lowest Score = 98 - 51 Lowest Score = 47 So, the lowest score will be 47.

Given that a collection of scores on a quiz leads to a mean of 40, a median of 38, and a mode of 36. If we added 10 points to each score what would be the new median?

48 If the original dataset had a median of 38, adding 10 points to each score will result in a new median of 38 + 10 = 48.

SMS Techno Company manufactures computer terminals. The following data are the number of computer terminals produced at a company for a sample of 15 days. 10, 20, 15, 20, 22, 17, 22, 18,19,12, 15, 16, 17, 13, and 22. What is the interquartile range?

5

Find the IQ of the following numbers 2, 4, 3, 6, 8, 7,9, 1, 5.

5 Arrange the numbers in ascending order: 1, 2, 3, 4, 5, 6, 7, 8, 9 Calculate the first quartile (Q1) and the third quartile (Q3). Q1 is the median of the lower half of the data (1, 2, 3, 4). Q3 is the median of the upper half of the data (6, 7, 8, 9). Q1 = (2 + 3) / 2 = 2.5 Q3 = (7 + 8) / 2 = 7.5 Calculate the Interquartile Range (IQ) as the difference between Q3 and Q1: IQ = Q3 - Q1 = 7.5 - 2.5 = 5 So, the IQ of the given numbers is 5.

If the variance = 30.8, what is the standard deviation?

5.55 Standard Deviation (σ) = √Variance (σ^2) = √30.8 ≈ 5.54 (rounded to two decimal places) So, the standard deviation is approximately 5.54.

An insurance company would like to determine the proportion of all medical doctors who have been involved in one or more malpractice lawsuits. The company selects 500 doctors at random from a professional directory and determines the number in the sample who have been involved in a malpractice lawsuit. What is the sample of the study?

500 doctors at random from a professional directory

Ten friends scored the following marks in their college entrance examination in mathematics: 23%, 37%, 45%, 49%, 56%, 63%, 63%, 70%, 72%, and 82%. What is the median of the entire set of scores?

59.5%

Gracia Burham received a mean average of 82 in her four essay tests. After taking the fifth test, her average dropped to 80. What was her grade in Sth test?

72 Before the fifth test, Gracia had a mean average of 82 on her four essay tests, so the total score she had from those tests is 4 * 82 = 328. Now, her average dropped to 80 after taking the fifth test. To maintain this average, her total score after taking the fifth test should be 5 * 80 = 400. To find her score on the fifth test, subtract the total score before the fifth test from the total score needed after taking the fifth test: Score on 5th Test = Total Score Needed - Total Score Before 5th Test Score on 5th Test = 400 - 328 = 72 So, Gracia's grade on the fifth test was 72.

Consider the score distribution of 15 students given below. 83 72 87 79 77 82 80 79 82 73 79 86 81 74 74 The lower quartile is

74 Q1 = (n + 1) / 4 Where "n" is the number of data points in the dataset. In this case, you have 15 data points, so: Q1 = (15 + 1) / 4 Q1 = 16 / 4 Q1 = 4 So, Q1 is at the 4th position when the data is arranged in ascending order: 72, 73, 74, 74, 77, 79, 79, 80, 81, 82, 82, 83, 86, 87 Q1 is the 4th value in this list, which is 74. Therefore, the lower quartile (Q1) is 74.

The registrar of a known university approximates based from a survey conducted to feeder high schools that around 2500 students will apply for admission the following school year. This is an example of________ statistics. A. Descriptive statistics B. Inferential statistics

A. Descriptive statistics

For a positively skewed distribution, the mean is always A. Greater than the mode B. Less than the median C.Less than the mode D. Difficult to tell

A. Greater than the mode

In order to calculate the variance, which of the following you must know? A. Mean B. Mode C. Range D. Median

A. Mean

Which of the following is not a measure of dispersion? A. Mode B. Range C. Variance

A. Mode

What does the term 'outlier' mean?

An extreme value at either end of a distribution

It was found in a study that there is a significant correlation in the math attitude and over-all academic performance of high school students. This is an example of statistics. A. Descriptive statistics B. Inferential statistics

B. Inferential statistics

If the mean = 25, median = 30, and standard deviation = 15, the distribution will be A. Positively skewed B. Negatively skewed C. Symmetrical

B. Negatively skewed

A sample has a mean of M= 45. If one person with a score of X = 53 is removed from the sample, what effect will it have on the sample mean? A. The sample mean will increase B. The sample mean will decrease C. The sample mean will remain the same D. Cannot be determined from the information given

B. The sample mean will decrease

Which set of data has a mean of 15, a range of 22, a median of 14, and a mode of 14% A. 25,15,14,14,7 B. 14,22,14,15,10 C. 3,14,19,25,14 D. 14,22,15,15,9

C. 3,14,19,25,14

Which of the following is an example of ratio variable? A. Flavors of frozen yogurt B. Letter grades on ant&nglish essay C.Amount of money in saving accounts D.Students classified by their reading ability: Above average, below average, and normal

C.Amount of money in saving accounts

Extremes scores will have the following effect on the mode of an examination: A. They may tend to lower it. B. They may have no effect on it, C. They may tend to raise it. D. None of these choices is correct

D. None of these choices is correct

In case of positively skewed distribution, the extreme values lie in the A. Anywhere B. Left tail C.Middle D. Right tail

D. Right tail

It consists of information coming observations, counts, measurements, or responses.

Data

It refers to the process of obtaining information.

Data collection

It deals with the methods of organizing, summarizing, and presenting a mass of data so as to yield meaningful information.

Descriptive Statistics

A variable which consists of either a finite number of values or countable number of values is called

Discrete variable

It is a data collection method used when the objective of the study is to determine the cause and effect of certain phenomena or event.

Experiment method

A scientist collected the following sets of data below. I. The following IQ scores: 60, 72, 63, 83, 68, 74, 90, 86, 74, 80 I. The following error scores: 10, 15, 18, 15, 14, 13, 42, 15, 12, 14, 42 IlI. The following blood types: A-, A-, O, At, AB-, A+, 0, 0, 0, AB+ IV. The following grades: B, D, C, A. B. F. C, B, C, D, D Which is/are Best computed by media

I and II

These are variables controlled experimenter or researcher by and expected influence the behavior of the subjects is called

Independent variables

It deals with making generalization about a body of data where only a part of it is examined.

Inferential Statistics

It is the difference between the upper and lower quartile.

Interquartile range

It is a data collection method use at least two persons exchanging information

Interview method

It is a measure of whether the data are heavy-tailed or light-tailed relative to a normal distribution.

Kurtosis

It shows heavy tails on either side, indicating large outliers.

Leptokurtic distribution

Is used in computing the median of group data

Lower Class boundary

What measure of central tendency is sensitive to extreme values?

Mean

It refers to a statistical summary that represents the center point or a typical value of a dataset

Measure of central tendency

A summary of the measure of the scattering of the data in the set.

Measures of Dispersion

What measure of central tendency is obtained using the middle score when at the scores are organized in numerical order

Median

The mode score on the 6th grade math test was 94. Which of these interpretations must be correct?

More Students received a 94 than any other score

During the first 9 weeks of world economic crisis, the weekly average hours worked in manufacturing jobs were 44, 46, 40, 39, 30, 36, 41, 42, and 35, respectively. Is there an outlier of the given data set? What is it?

NONE

It is a type of distribution in which more values are concentrated on the right side (tail) of the distribution graph while the left tail of the distribution graph is longer.

Negatively skewed

What is the value of the mode when all values in the data set are different?

No mode/NONE

It is characterized by data that consist of names, labels, or categories only

Nominal

It involves data that may be arranged in some order, but difference between data values either cannot be determined or are meaningless.

Ordinal

It is a method to find skewness in a sample using descriptive statistics like the mean and mode.

Pearson Coefficient of skewness

For a positively skewed distribution, the mean is always

Platykurtic distribution

It refers to the big group of collection of all traits under study or under consideration.

Population

It is a type of distribution in which most values are clustered around the left tail of the distribution while the right tail of the distribution is longer.

Positively skewed

The elimination of extreme scores at the bottom of a data set has the effect of:

Raising the mean

What Measures of variability is easiest to calculate

Range

which is not a measure of central tendency? mean, range, median, mode

Range

Unorganized data is reffered to as

Raw data

The portion of the population that selected for analysis

Sample

It is the portion or subset of a population required to ensure that there is sufficient information to generalize the finding of the research.

Sample size

In the Science test, the mean grade is 80 and the standard deviation is 5. In Sociology, the mean grade is 75 with a standard deviation of 2.5. Suppose you scored 85 in both subjects. Determine the standard scores of the two subjects.

Science=1 Sociology=4 The z-score formula is as follow Z = (X - μ) / σ Where: Z is the z-score. X is your individual score. μ (mu) is the mean of the subject. σ (sigma) is the standard deviation of the subject. For Science: Mean (μ) = 80 Standard Deviation (σ) = 5 Your Score (X) = 85 For Sociology: Mean (μ) = 75 Standard Deviation (σ) = 2.5 Your Score (X) = 85 Let's calculate the z-scores for both subjects: For Science: Z_Science = (85 - 80) / 5 = 1 For Sociology: Z_Sociology = (85 - 75) / 2.5 = 4

It is a measure or a criterion on how asymmetric the distribution of data is from the mean.

Skewness

It is considered to be the most efficient measure of dispersion.

Standard Deviation

What measures of variability is a measure of the average distance from the mean?

Standard Deviation

It is a number calculated on sample data that quantifies a characteristic of the sample.

Statistic

A branch of mathematics which deals with systematic collection, tabulation, presentation, analysis, and interpretation of quantitative data or facts which are collected in methodical manner without bias is called

Statistics

The average of the squared deviations from the arithmetic mean is called the

Variance

An insurance company would like to determine the proportion of all medical doctors who have been involved in one or more malpractice lawsuits. The company selects 500 doctors at random from a professional directory and determines the number in the sample who have been involved in a malpractice lawsuit. What is the population of the study?

all medical doctors who have been involved in one or more malpractice lawsuits

If a data set has an even number of observation, the median is

the value of the two middle items is an array. Add them together and then divide by 2