Question

find the mode and median for frequency curve Y = sin x​

Answer 1

Answer:

Hey mate here is your answer.......

Our thinking is: "2 people took 53 sec, 7 people took 58 sec, 8 people took 63 sec and 4 took 68 sec". In other words we imagine the data looks like this:

53, 53, 58, 58, 58, 58, 58, 58, 58, 63, 63, 63, 63, 63, 63, 63, 63, 68, 68, 68, 68

Then we add them all up and divide by 21. The quick way to do it is to multiply each midpoint by each frequency:

Midpoint

x Frequency

f Midpoint × Frequency

fx

53 2 106

58 7 406

63 8 504

68 4 272

Totals: 21 1288

And then our estimate of the mean time to complete the race is:

Estimated Mean = 128821 = 61.333...

Very close to the exact answer we got earlier.

hope it's helpful for you.....

Answer 2

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To find the Mean Alex adds up all the numbers, then divides by how many numbers :

Mean =(59+65+61+62+53+55+60+70+64+56+58+58+62+62+68+65+56+59+68+61+67)/ 21

= 61.38095...

To find the Median Alex places the numbers in value order and finds the middle number.

In this case the median is the 11th number:

53, 55, 56, 56, 58, 58, 59, 59, 60, 61, 61, 62, 62, 62, 64, 65, 65, 67, 68, 68, 70

Median = 61

To find the Mode, or modal value, Alex places the numbers in value order then counts how many of each number. The Mode is the number which appears most often (there can be more than one mode) :

53, 55, 56, 56, 58, 58, 59, 59, 60, 61, 61, 62, 62, 62, 64, 65, 65, 67, 68, 68, 70

62 appears three times, more often than the other values, so Mode = 62