Q8 of 48 Page 126

There are 10 observations arranged in ascending order as given below.

45,47,50,52, x, x + 2, 60,62,63,74. The median of these observations is 53.


Find the value of x. Also find the mean and the mode of the data.

Here, n=10



So median = Mean of fifth and sixth observations.


5th term = x and 6th term = x + 2



2x=106-2


x=52





Mode is the most frequently occurring observation. Here 52 appears twice.


So, mode = 52.


More from this chapter

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4

The monthly maximum temperature of a city is given in degree celcius in the following data. By taking suitable classes, prepare the grouped frequency distribution table

29.2, 29.0, 28.1, 28.5, 32.9, 29.2, 34.2, 36.8, 32.0, 31.0,


30.5, 30.0, 33, 32.5, 35.5, 34.0, 32.9, 31.5, 30.3, 31.4,


30.3, 34.7, 35.0, 32.5, 33.5, 29.0, 29.5, 29.9, 33.2, 30.2


From the table, answer the following questions.


i. For how many days the maximum temperature was less than 34oC?


ii. For how many days the maximum temperature was 34oC or more than 34oC?

5

If the mean of the following data is 20.2, then find the value of p.

6

There are 68 students of 9th standard from model Highschool, Nandpur. They have scored following marks out of 80, in written exam of mathematics.

70, 50, 60, 66, 45, 46, 38, 30, 40, 47, 56, 68,80, 79, 39, 43, 57, 61, 51, 32, 42, 43, 75, 43,36, 37, 61, 71, 32, 40, 45, 32, 36, 42, 43, 55,56, 62, 66, 72, 73, 78, 36, 46, 47, 52, 68, 78,80, 49, 59, 69, 65, 35, 46, 56, 57, 60, 36, 37,45, 42, 70, 37, 45, 66, 56, 47


By taking classes 30-40, 40-50, .... prepare the less than type cumulative frequency table Using the table, answer the following questions:


i. How many students, have scored marks less than 80?


ii. How many students have scored marks less than 40?


iii. How many students have scored marks less than 60?

7

By using data in example (6), and taking classes 30-40, 40-50... prepare equal to or more than type cumulative frequency table and answer the following questions based on it.

i. How many students have scored marks 70 or more than 70?


ii. How many students have scored marks 30 or more than 30?