📊 statistics

1. **State the problem:** We need to find the percent of curlers aged between 30 and 50, given the ages are normally distributed with mean $\mu=40$ and standard deviation $\sigma=1

1. The problem involves understanding the symbols $\mu+1$ and $\mu+2$ in the context of hypotheses $H_0$ and $H_1$. 2. Typically, $H_0$ (null hypothesis) and $H_1$ (alternative hyp

1. **Problem Statement:** Given the data of marks and the number of students scoring more than those marks, we need to:

1. **State the problem:** We want to find the correlation between the year and the corresponding values in the data set: (2013, 208.75), (2012, 225.75), (2011, 132), (2010, 178), (

1. The problem asks: How many students went bowling based on the tally marks in the table? 2. Each tally mark group represents 5 students, and single tally marks represent 1 studen

1. **Problem statement:** You scored better than 35% of the students on an exam where scores are normally distributed with mean $\mu=62$ and standard deviation $\sigma=12$. We want

1. **Problem Statement:** We have a population of student heights normally distributed with mean $\mu=168$ cm and standard deviation $\sigma=5.0$ cm.

1. **State the problem:** We are given a sample data set of hurricane counts: $$20, 19, 17, 15, 3, 16, 15, 9, 19, 11, 2, 7, 12, 18$$

1. **State the problem:** We have a contingency table showing counts of males and females choosing between Sport Utility Vehicles (SUV) and Sports Cars. We want to analyze the data

1. **State the problem:** We need to find the linear regression equation $y = mx + b$ for the data points $(4, -8)$, $(5, -14)$, $(7, -24)$, $(11, -43)$, and $(13, -60)$, rounding

1. **Problem:** Find the sum of the lower limits of the median class and mode class from the given frequency distribution. Class intervals: 0-5, 5-10, 10-15, 15-20, 20-25

1. The problem asks for the median mark of 15 students based on the stem and leaf diagram. 2. The stem and leaf diagram represents the marks as follows:

1. **Problem Statement:** We have data on hours spent studying by 40 students: 2, 3, 4, 4, 5, 6, 6, 6, 7, 8, 1, 2, 3, 3, 4, 5, 5, 6, 7, 7, 2, 2, 3, 4, 4, 5, 6, 8, 8, 9, 1, 2, 3, 4,

1. **Problem Statement:** Suppose we have data on the number of hours studied ($x$) and the corresponding exam scores ($y$) for 5 students:

1. **Problem Statement:** We have marks of 50 students in MTH 232 final exams. We need to construct a frequency table and draw a cumulative frequency curve. 2. **Step A: Construct

1. **Problem Statement:** We are given marks of 50 students and need to construct a frequency table and a cumulative frequency curve for these marks. 2. **Step 1: Organize the data

1. **Problem Statement:** We have scores of 50 students and need to find the mean, median, mode, first quartile (Q1), fourth decile (D4), 60th percentile (P60), and range. 2. **Ste

1. مسئله اول: از ۲۰ داده آماری با انحراف معیار ۳، ۴ داده با انحراف معیار ۶ حذف شده‌اند. میانگین داده‌های حذف‌شده با میانگین کل داده‌های اولیه برابر است. واریانس ۱۶ داده باقی‌مانده

1. The problem asks to construct (i) a multiple bar chart and (ii) a component bar chart for given data. 2. A multiple bar chart displays bars for different categories side by side

1. **بيان المشكلة:** لدينا جدول يوضح عدد الكتب التي قرأها الأطفال وعدد الأطفال لكل عدد كتب. العدد الوسيط للكتب التي قرأوها هو 2.

1. **Problem Statement:** Find the mean, median, and mode of the grouped data representing scores of 100 students on a Math quiz. 2. **Given Data:**