Advertisements
Advertisements
Question
An aeroplane flies, along the four sides of a square at speeds of 100, 200, 300 and 400 kilometres per hour respectively. What is the average speed of the plane in its flight around the square?
Advertisements
Solution
Harmonic mean would he suitable. The harmonic mean of n observations is HM = `"n"/(sum 1/"x")`
Here n = 4
∴ HM = `4/(1/100 + 1/20 + 1/300 + 1/400)`
= `4/(((12 + 6 + 4 + 3)/1200))`
= `4/((25/1200))`
= `(4 xx 1200)/25`
= 4 × 48
= 192 km/hr
APPEARS IN
RELATED QUESTIONS
Find the first quartile and third quartile for the given observations.
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22
Find Q1, Q3, D8 and P67 of the following data:
| Size of Shares | 4 | 4.5 | 5 | 5.5 | 6 | 6.5 | 7 | 7.5 | 8 |
| Frequency | 10 | 18 | 22 | 25 | 40 | 15 | 10 | 8 | 7 |
A man travelled by car for 3 days. He covered 480 km each day. On the first day, he drove for 10 hours at 48 km an hour. On the second day, he drove for 12 hours at 40 km an hour and for the last day he drove for 15 hours at 32 km. What is his average speed?
Calculate AM, GM and HM from the following data and also find its relationship:
| Marks: | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 |
| No. of students: | 5 | 10 | 25 | 30 | 20 | 10 |
Which of the following is positional measure?
When an observation in the data is zero, then its geometric mean is __________.
Median is the same as:
An investor buys ₹ 1,500 worth of shares in a company each month. During the first four months, he bought the shares at a price of ₹ 10, ₹ 15, ₹ 20 and ₹ 30 per share. What is the average price paid for the shares bought during these four months? Verify your result.
Answer the following question in about 30 words:
Define the mean.
Which type of average is defined as the value repeated the maximum number of times in a dataset?
