2022 PSQ

A box contains some black balls and 30 white balls. If the probability of drawing a black ball is two-fifths of the probability of drawing a white ball, find the number of black balls in the box.

• 10 black balls

• 11 black balls

• 12 black balls

• 23 black balls

A three-digit number is formed by choosing at random and without repetition from the numbers 1, 2, 4, 5, 7, and 9. What is the probability that this number is divisible by 5?

• 1/8

• 1/6

• 1/4

• 1/2

Louis is hopelessly in love with Marian. Unfortunately for Louis, Marian does not feel the same way. However, Louis remains hopeful, since on any given day independently there is a 5% chance that Marian smiles at him. What is the probability that Marian smiles at Louis on exactly three days in a month? (Assume a month has 30 days.)

• 0.0451

• 0.1270

• 0.2586

• 0.2588

The Consumer Price Index (CPI) is an indicator of the change in the average retail prices of a fixed basket of goods and services commonly purchased by households relative to a base year. The base year is the reference period at which the index is taken as 100. The present series of the CPI uses the 2018 as the base year. Given the September 2022 CPI of Northern Mindanao table below. What is the correct interpretation that can be deduced? (moderate)

• Retail prices of Alcoholic Beverages and Tobacco in September 2022 is higher by PhP30.30 compared to the 2018 prices.

• Retail price of Food and Non-Alcoholic beverages for September 2022 is Php116.50 per kilogram.

• Retail prices of Housing, Water, Electricity, Gas and Other Fuels is 20.7% higher than the prices posted in 2021.

• On the average, retail prices of fixed goods in September 2022 is Php117.90 more than on September 2018.

(5 Seconds) The International Statistical Institute (ISI), which was established in 1885, is one of the oldest scientific associations still active worldwide these days. Its mission is to lead, support and promote the understanding, development and good practice of statistics worldwide, by providing the core global network for statistics. Every two years, ISI organizes the World Statistics Congress (WSC) which is hosted by various countries. The ISI is presently calling for abstract submission for contributed paper and poster sessions to the 64th World Statistics Congress which will be conducted in 16-20 July 2023. What country will host the 64th WSC in 2023?

• Canada

• Netherlands

• South Korea

• People’s Republic of China

Poverty threshold is the minimum income required for a family/individual to meet the basic food and non-food requirements. In 2021, a Filipino family with five members in Region X needed on the average, at least ________ monthly to meet their basic food and non-food needs.

• P 8,385.00

• PhP 12,015.00

• PhP 13,320.00

• PhP 14,500.00

(10 Seconds) Out of 6 statisticians and 8 mathematicians, a special task force is to be formed consisting of 3 statisticians and 4 mathematicians. In how many ways can this be done if 2 particular statisticians and any mathematician can be included in the task force?

• 120

• 280

• 1,680

• 1,760

(10 Seconds) What is the total population of Region 10 as of 01 May 2022 based on the 2020 Census of Population and Housing?

• 5,200,768

• 5,768,022

• 5,015,768

• 5,022,768

The standard deviation measures the amount of variation or dispersion of a set of observations from its arithmetic mean or average. It can be obtained by extracting the square root of the mean of the squared deviations of the observations in a set of data from their mean. Which of the following is NOT true about standard deviation?

• The value of standard deviation remains the same if each of the observation is increased or decreased by a constant quantity.

• If each observation is multiplied or divided by a constant quantity, standard deviation will also be multiplied or divided by the same quantity.

• The sum of the squares of the deviations of the observations in a set of data from a value other than its arithmetic mean would always be greater than the sum of the squares of the deviations of the observations from its arithmetic mean.

• Standard deviation is independent of change of origin and scale.

Commodities in the 2012 based CPI market basket are classified according to the 2009 PCOICOP. What does PCOICOP stand for?

• Philippine Classification of Individual Consumption according to Purpose

• Philippine Classification of Institutional Consumption according to Purpose

• Philippine Commodities of Individual Consumption according to Purpose

• Philippine Classification of Individual Consumption according to Production