# Harmonic mean - practice problems

#### Number of problems found: 113

- Pentagon

The signboard has the shape of a pentagon ABCDE, in which the line BC is perpendicular to the line AB and EA is perpendicular to the line AB. Point P is the heel of the vertical starting from point D on line line AB. | AP | = | PB |, | BC | = | EA | = 6dm - A frequency

A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 2,14,13,8 and 1 respectively. Using percentages, what are the relative frequencies of the five classes? - Average speed

The car drove on one section of the highway for half an hour at a speed of 80 km/h. Then he reduced his speed to 60km/h. It went three-quarters of an hour at a speed of 60 km/h. What was the average speed of the car? - Workshops

The plant has three workshops. In the first workshop, produce 5 products/hour, in the second 8 products/hour, and in the third 7 products/hour. In the first workshop, they produced 240 products, in the second 400 and the third 350 products. Find the avera - Two cables

On a flat plain, 2 columns are erected vertically upwards. One is 7 m high and the other 4 m. Cables are stretched between the top of one column and the foot of the other column. At what height will the cables cross? Assume that the cables do not sag. - Average speed

The car drove from city A to city B at a 40 km/h and back to city A at a speed of 80 km/h. What was the average speed of the car? - Statistical survey

Write TRUE OR FALSE for each question: 1 Standard deviation is a measure of central location. 2. The most frequent observation in a data set is known as the mode. 3 The most passive method of data collection is observation. 4 Access time for secondary dat - Weighted harmonic average

Ten workers will do some work in 2 minutes, five workers in 10 minutes, and three workers in 6 minutes. How many minutes per average worker per worker? - Harmonic mean

If x, y, z form a harmonic progression, then y is the harmonic mean of x and z. Find the harmonic mean of the numbers 6 and 5. - Harmonic series

Insert four members between 5/3 and 5/11 to form harmonic series (means). - Insert 7

Insert five harmonic means between 3 and 18 - Insert 6

Insert four harmonic means between 3/7 and 3/19 - Insert 5

Insert five harmonic means between 1/2 and 1/26 - Harmonic HM example

Find the harmonic mean of 4 and 8. - Harmonic 4

The harmonic mean of -6 and 5. - Harmonic mean

Harmonic means of 6 and 12 - HP - harmonic progression 2

Compute the 16th term of the HP if the 6th and 11th term of the harmonic progression are 10 and 18 respectively. - HP - harmonic progression

Determine the 10th term of the harmonic progression 6,4,3,… - HP - harmonic progression

Determine the 8th term of the harmonic progression 2, 4/3, 1,… - Statistics quiz

Fill in the missing word 1. in a data set, the mean, median and mode are measured of ________________ 2. "The manipulation of variables under controlled conditions"is the data collection method known as______________ 3. in a normal distribution, the area

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