Using the following data, construct a frequency distribution table : 46, 44, 42, 54, 52, 60, 50, 58, 56, 62, 50, 56, 54, 58 and 48.

Now answer the following :
(i) What is the range of the numbers?
(ii) How many numbers are greater than 50?
(iii) How many numbers are between 40 and 50?

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Solution

$\begin{matrix} Marks & Tally marks & Frequency 42 & ∣ & 1 44 & ∣ & 1 46 & ∣ & 1 48 & ∣ & 1 50 & | | & 2 52 & ∣ & 1 54 & ∥ & 2 56 & ∥ & 2 58 & ∥ & 2 60 & ∣ & 1 62 & ∣ & 1 Total & 15 \end{matrix}$
(i) Range of numbers = Highest number - Lowest number = 62 - 42 = 20
(ii) 9 numbers are greater than 50
(iii) 4 numbers are between 40 and 50

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Similar questions

Q. Using the data, given below, construct a frequency distribution table:

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Q. By taking classes

30 - 40, 40 - 50, 50 - 60, . . .

, construct a frequency table for the following data:

65, 34, 74, 49, 52, 35, 71, 55, 61, 40, 56, 38, 52, 56, 52, 33, 60, 35, 49, 37, 53, 50, 44, 30, 62, 50, 47, 45, 47, 50, 63, 61, 54, 58, 47, 64, 37, 38, 44, 42, 47, 55, 70, 33, 75, 49, 47, 30, 60, 69

Also, construct a combined histogram and frequency polygon for the distribution.

Question 100(i)

Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40-45 (45 not included):
30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37,
53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68
How many classes are there in the frequency distribution table ?

Q. The final marks in mathematics of 30 students are as follows:

53, 61, 48, 60, 78, 68, 55, 100, 67, 90,
75, 88, 77, 37, 84, 58, 60, 48, 62, 56,
44, 58, 52, 64, 98, 59, 70, 39, 50, 60.
(i) Arrange these marks in ascending order, 30 to 39 one group,40 to 49 second group etc.
Now answer the following:
(ii) What is the highest score?
(iii) What is the lowest score?
(iv) What is the range?
(v) If 40 is the passmark, how many have failed?
(vi) How many have scored 75 or more?
(vii) Which observations between 50 and 60 have not actually appeared?
(viii) How many have scored less than 50?

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Using the following data, construct a frequency distribution table : 46, 44, 42, 54, 52, 60, 50, 58, 56, 62, 50, 56, 54, 58 and 48. Now answer the following : (i) What is the range of the numbers? (ii) How many numbers are greater than 50? (iii) How many numbers are between 40 and 50?

Marks Tally marks Frequency 42∣144∣146∣148∣150||252∣154∥256∥258∥260∣162∣1 Total 15 (i) Range of numbers = Highest number - Lowest number = 62 - 42 = 20 (ii) 9 numbers are greater than 50 (iii) 4 numbers are between 40 and 50

Using the following data, construct a frequency distribution table : 46, 44, 42, 54, 52, 60, 50, 58, 56, 62, 50, 56, 54, 58 and 48.

Now answer the following :
(i) What is the range of the numbers?
(ii) How many numbers are greater than 50?
(iii) How many numbers are between 40 and 50?