📊 statistics
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Frequency Distribution
1. **State the problem:** We have a sample of 30 college students with recorded hours spent on homework. We need to construct a frequency distribution showing how many students spe
Total Students
1. The problem asks for the total number of students involved in the study based on the frequency distribution of stress ratings.
2. The frequency distribution table lists stress r
Least Stress Rating
1. **State the problem:** We are given a table of stress ratings from 0 to 10 and the number of students (frequency) who chose each rating. We need to find which stress rating corr
Sampling Method
1. The problem is to determine the most appropriate sampling procedure to survey the city's residents about adding another fire house.
2. Important rule: A good sample should be re
Stem Leaf Plot
1. The problem asks us to determine if the statement "One disadvantage of a stem-and-leaf plot is that it does not display the data items" is true or false.
2. A stem-and-leaf plot
Data Set Analysis
1. The problem is to analyze the given data set: 548, 612, 502, 447, 471, 138, 401, 526, 623, 419, 419, 476, 513, 846.
2. We can calculate some basic statistics such as the mean (a
Quartiles Outliers
1. **Stating the problem:** We have the puzzle solving times in seconds: 548, 490, 856, 420, 534, 470, 632, 597, 473, 450.
We need to find the lower quartile (Q1), upper quartile (
Discount Quartiles
1. **Problem statement:** We have 80 items with discounts ranging from £0 to £60. The cumulative frequency data is given as:
Discount (£): 0, 10, 20, 30, 40, 50, 60
Fish Lengths
1. **Stating the problem:** We have a cumulative frequency curve showing the lengths of fish measured, with a total of 16 fish.
2. **Understanding cumulative frequency:** Cumulativ
Normal Curve
1. The problem is to understand the normal curve, also known as the normal distribution or Gaussian distribution.
2. The formula for the normal distribution's probability density f
Normal Probabilities
1. **Problem:** Calculate $P(-0.72 < z < 0)$ for a standard normal distribution.
2. **Formula and rules:** For a standard normal variable $z$, probabilities correspond to areas und
Sat Score Test
1. **Problem Statement:** We want to test the claim that retaking the SAT increases the score on average by more than 30 points.
2. **Given Data:**
Mean Variance Sum
1. **Problem 21:** Solve for $\bar{X}$ when $\sum X = 1800$ and $n = 80$.
Formula:
Negative Strong Correlation
1. The problem asks us to interpret a correlation coefficient of $-0.85$ between two data sets.
2. The correlation coefficient, denoted as $r$, measures the strength and direction
Mean Calculation
1. **State the problem:** We need to find the mean, denoted as $\bar{X}$, given the sum of all values $\Sigma X = 1800$ and the number of values $n = 80$.
2. **Formula used:** The
Waiting Time
1. The problem asks why the waiting time might be longer for a young employee.
2. This is a question related to statistics and probability, often analyzed using concepts like the e
Salad Proportion Test
1. **Problem Statement:** We are testing if the proportion of American adults who eat salad at least once a week is 85% based on a sample of 200 adults where 178 eat salad weekly.
Harmonic Geometric Mean
1. **Problem Statement:**
Calculate the harmonic mean and geometric mean for the given frequency distribution of monthly wages.
Frequency Distribution
1. **Stating the problem:** We are given a set of scores from Grade 7 learners' second quarter examination and asked to create a frequency distribution table and bar graph based on
Frequency Distribution
1. Ipagpalagay na ang data ay isang listahan ng mga numerical values o kategorya na kailangang hatiin sa mga klase o grupo para makagawa ng frequency distribution table.
2. Ang fre
Geometric Mean
1. **Problem Statement:** Calculate the geometric mean of the monthly wages given the frequency distribution of workers.
2. **Formula for Geometric Mean:**