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Frequency

In the series...

Question

In the series $7 8 9 7 6 5 3 4 2 8 9 7 2 4 5 9 2 9 7 6 4 7$ Which figures have an equal frequency?

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Solution

Compute the frequency of each term in the series.
$2$ occurs $3$ times.
$3$ occurs once.
$4$ occurs $3$ times.
$5$ occurs $2$ times.
$6$ occurs $2$ times.
$7$ occurs $5$ times.
$8$ occurs $2$ times.
$9$ occurs $4$ times.
We can see that frequency of $5, 6$ and $8$ is the same. i.e. $2$ .
Hence, $5, 6$ and $8$ have an equal frequency.

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9 + 9 + 9 + 9 + 9 + 9	= 6 × 9	= 54
4 + 4 + 4 + 4 + 4	= 5 × 4	= 20
8 + 8 + 8	=____ × 8	= ____
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30 + 30 + 30	= ____ × ____	= ____
7 + 7 + 7 + 7 + 7 + 7	= ____ × ____	= ____
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Q. The following data gives the marks of 20 students in Mathematics (X) and statistics (Y), each out of 10, expressed as (x, y). Construct an ungrouped frequency distribution, considering single numbers as a class:

(2, 7), (3, 8), (4, 9), (2, 8), (5, 6), (5, 7), (4, 9), (3, 8), (4, 8), (2, 9), (3, 8), (4, 8), (5, 6), (4, 7),

(4, 7), (4, 6), (5, 6), (5, 7), (4, 6), (5, 5).

A service centre received the following number of calls per day over a period of 30 days.
6 5 6 9 7 4 2 4 7 8
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9 7 5 6 7 7 4 6 2 4

Using a frequency table, find the average number of calls per day. Round your answer to 1 decimal place.

Q. 4+7+2=281435
7+3+9=212781
6+2+7=121456
2+8+5=164036
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