📊 statistics
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Percentile Rank
1. **State the problem:** We need to find the percentile rank of a score of 141 in a class of 20 students with the given scores.
2. **List the scores:** 168, 152, 112, 88, 95, 123,
Median Quartile
1. **State the problem:** We have the number of speeding tickets given each day in March: 56, 57, 43, 56, 87, 37, 76, 55, 29, 65, 84, 74, 46, 58, 61, 40, 43, 60, 51, 77, 53, 47, 50
Primary Secondary Data
1. The problem asks whether to use primary or secondary data in two different situations.
2. For part a, determining the percentage of fellow workers who drink at least one coffee
Primary Secondary Data
1. The problem asks whether to use primary or secondary data in two situations.
2. For determining the percentage of fellow workers who drink at least one coffee a day, you would u
Mean Grouped
1. **State the problem:** We need to estimate the mean length from the grouped frequency table given.
2. **Identify the class intervals and frequencies:**
Interquartile Range
1. **State the problem:** We need to estimate the interquartile range (IQR) of flower heights using the cumulative frequency graph.
2. **Understand the IQR:** The IQR is the differ
Roman Coins Total
1. The problem states that 108 coins weigh between 8 g and 17 g. We need to find the total number of Roman coins in the museum's collection.
2. The histogram shows frequency densit
Frequency Density
1. The problem states that 400 beehives produced between 16 kg and 18 kg of honey, and we need to find the frequency density $x$ for the bin from 18 to 20 kg.
2. Frequency density
Total Weight
1. **State the problem:** We need to estimate the total weight of all the suitcases using the histogram data.
2. **Understand the histogram:** The histogram shows frequency density
Categorical Association
1. **State the problem:** We need to create two two-way tables with 100 total values each. One table should show an association between two categorical variables (gender and eye co
Categorical Association
1. The problem asks to identify two pairs of categorical variables: one pair that might be associated and one pair that might not be associated.
Associated: Gender and Preference f
Categorical Association
1. The problem asks to identify two pairs of categorical variables: one pair that might be associated and one pair that might not be associated.
2. Let's define the pairs:
No Association Values
1. The problem asks to find 2 values to complete a two-way table to show no association between returning to play in less than 2 days and treatment type (ice or heat).
2. No associ
No Association Values
1. The problem asks to find 2 values to complete a two-way table to show no association between returning to play in less than 2 days and treatment (ice or heat).
2. To show no ass
No Association Values
1. The problem asks to find 2 values to complete a two-way table showing no association between returning to play in less than 2 days and the treatment (ice or heat).
2. To show no
Green Apples Charity
1. **State the problem:** We have a histogram showing weights of apples in grams with frequency densities for intervals of 30 grams.
2. **Calculate the number of apples in each int
Mode Grouped
1. The mode of grouped data is the value that appears most frequently in the data set, estimated from a grouped frequency distribution.
2. The formula to find the mode for grouped
Three Sigma Limits
1. The problem is to calculate the three-sigma control limits for a process with mean $\bar{x} = 400$ and standard deviation $\sigma = 1.2649$.
2. The Upper Control Limit (UCL) is
Median Cookies
1. The problem asks to find the median number of cookies made by 21 people based on the frequency table.
2. The frequency table is:
Modal Salary
1. The problem asks for the modal monthly salary, which is the salary that appears most frequently among the employees.
2. From the table, the number of employees for each salary i
Mean Frequency
1. **State the problem:** We have scores 4, 5, 6, 7, 8 with frequencies 2, 3, 9, b, and 1 respectively. The mean score is 6. We need to find the value of b.
2. **Recall the formula