📊 statistics

1. The problem involves analysis of given data sets for Impala observations and IQ scores, including arranging data, calculating mean, median, mode, and range, and interpreting res

1. **Problem statement:** Given mock and final GCSE exam percentages for five subjects, analyze the differences and averages. 2. **List given data:**

1. **Stating the problem:** We are given grouped frequency distributions for Thika road service time (x) and Mombasa road service time (y). We need to calculate various summary sta

1. **Problem statement:** Calculate and interpret the summary statistics for two outlets based on the provided data in part (b). 2. **Arithmetic mean ($\bar{x}$):** Sum all data po

1. We are given a frequency distribution with midpoints ($x$), frequencies ($f$), deviations ($d$), and products $fd$. The table is: | Class | Midpoints ($x$) | $f$ | $d$ | $fd$ |

1. **Problem Statement:** We are given two sets of service times for customers at two outlets: Thika Road (60 data points) and Mombasa Road (50 data points).

1. **State the problem:** We are given a frequency distribution with class intervals, midpoints, and frequencies (f). We need to fill in the missing columns d and fd for each class

1. **Stating the problem:** We have a frequency distribution of marks obtained by students and are asked to find the assumed mean using the class with the highest frequency. 2. **I

1. **Stating the problem:** Find the first quartile $Q_1$ from a grouped frequency distribution with a total number of observations $N=50$.

1. **State the problem:** We have grades for laboratory, lecture, and recitation parts: 77, 83, and 86 respectively. The weights for each part are all 4. 2. **Find the weighted sum

1. The problem is to compute the values of $f x$ and $f x^2$ for each class interval given the frequency distribution. 2. First, find the mid-point ($x$) of each class interval as

1. Problem statement: We are given the claim that the average age of year two students at MUBS is 23 years.

1. **State the problem:** Find the mean $\bar{x}$ and standard deviation $s$ from the grouped frequency table with given class intervals and frequencies. \n\n2. **Calculate midpoin

1. **State the problem:** Find the mean and variance of the population data: 3, 6, 9, 11, 6, 12, 12, 16, 7, 16, 17.

1. **State the problem:** We need to find the variance of the yearly sales amounts (in thousands of dollars) for 5 salespeople whose sales values are 70, 70, 85, 65, and 75. 2. **R

1. Diketahui data konsumsi listrik 45 rumah. Kita diminta membuat pendugaan selang rata-rata dengan tingkat kepercayaan 97% dan 95%. Langkahnya:

1. **State the problem:** We have grouped data with class intervals and their frequencies. We want to estimate the mean and variance using the coding method.

1. The problem asks for the population mean height of 9 grandchildren, given their heights in inches: 66, 76, 79, 73, 66, 69, 76, 70, 75. 2. The population mean ($\mu$) is calculat

1. **State the problem**: Find the Mean Absolute Deviation (MAD) for the data set $13, 2, 9, 13, 2, 13, 17, 17, 2, 9, 14$. 2. **Calculate the mean** $\bar{x}$:

1. **State the problem:** Given remission times for 12 patients in the placebo group: 22, 8, 12, 3, 17, 5, 11, 2, 15, 4, 8, 1, we need to perform statistical analyses including com

1. The standard deviation measures how spread out numbers are in a data set. 2. Given data points $x_1, x_2, ..., x_n$, find the mean: $$\bar{x} = \frac{1}{n} \sum_{i=1}^n x_i$$.