📊 statistics

1. State the problem: The weather station recorded high temperatures for 30 days. Find the interval that contains the median temperature. 2. Recall what “median” means:

1. **State the problem:** We have temperature data recorded over 30 days, grouped into intervals with the number of days each temperature range was recorded. We need to find the in

1. **Problem:** Find the probability that $z$ is between 0.43 and 0.72 for a standard normal distribution. 2. **Formula and rules:** For a standard normal variable $z$, the probabi

1. The problem asks to draw conclusions from a percent bar graph, the percent of values in each category, and the mode. 2. A percent bar graph visually represents the percentage di

1. **State the problem:** We have a percent bar graph showing the ages of skaters using a skate park in one week with categories and their percentages. 2. **Given data:**

1. **State the problem:** We have a histogram representing the lengths of 85 animals divided into intervals with given densities. We need to find the frequency (number of animals)

1. **State the problem:** We have grouped data for monthly expenses with class intervals and frequencies. We need to calculate the median and mode expenses for 24 months. 2. **Give

1. **Problem 9a:** Given the numbers 33, 33, 66, 77, and 88, find the arithmetic mean, mode, and median. 2. **Arithmetic mean formula:**

1. **Problem Statement:** We have weekly sales data grouped into class intervals with frequencies. We need to:

1. **Problem Statement:** We have test scores of 30 students grouped into intervals with frequencies. We need to:

1. **State the problem:** We are given the net worth (in billions) of a sample of the richest people: 59, 52, 28, 26, 19, 19, 18, 17, 17, 17. We need to find the range, variance, a

1. **Problem Statement:** Find the range, variance, and standard deviation of the net worth data (in billions): 59, 52, 28, 26, 19, 19, 18, 17, 17, 17. 2. **Range:** The range is t

1. **Problem:** The random variable $X$ is normally distributed with standard deviation 25. Given $P(X < 27.5) = 0.3085$, find the mean $\mu$. 2. **Formula:** For a normal distribu

1. **Stating the problem:** We have a normal distribution $X \sim N(400, 64)$ with mean $\mu = 400$ and variance $\sigma^2 = 64$, so standard deviation $\sigma = 8$.

1. **State the problem:** We have a normal distribution $X \sim N(400,64)$ with mean $\mu=400$ and variance $\sigma^2=64$, so standard deviation $\sigma=8$. 2. We want to find valu

1. **State the problem:** We are given a frequency distribution of weights of 50 dogs in intervals and asked to find: (a) The modal class.

1. **State the problem:** We need to find the median number of miles Jenna cycled over a 7-week period with the data: 36, 42, 28, 52, 48, 36, 31. 2. **Recall the formula and rule f

1. **State the problem:** We are given a table showing the number of children absent each day and the number of days for each absence count. We need to fill in the missing values i

1. The problem asks how to use the t value and degrees of freedom (df) to find the p value in hypothesis testing. 2. The t value is a test statistic calculated from sample data, an

1. **State the problem:** We want to test if the calcium supplement reduces blood pressure more than the placebo on average. 2. **Hypotheses:**

1. **State the problem:** We need to find the standard deviation of the differences in depression scores between caffeine and placebo conditions for 11 subjects. 2. **Calculate the