Calculate the mean for:
Class interval=10-14,15-19,20-24,25-29,30-34
Frequency=2,3,5,3,2

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Solution

Mid points of Class Interval are
Class Interval Midpoint(x) Frequency (f) fx

10-14 = 12 2 24
15-19 = 17 3 51
20-24 = 22 5 110
25-29 = 27 3 81
30-34 = 32 2 64

total= 15 total = 330

Therefore Mean = (Total fx)/ (total f) = 330/15 = 22

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Similar questions

Q. A survey showed that the average daily expenditures (in rupees) of 30 households in a city were:
11, 12, 14, 16, 16, 17, 18, 18, 20, 20, 20, 21, 21, 22, 22, 23, 23, 24, 25, 25, 26, 27, 28, 28, 31, 32, 32, 33, 36, 36.
(a) Prepare a frequency distribution using class intervals:

(b) What percent of the households spend more than ₹ 29 each day?
(c) Draw a frequency histogram for the above data.

Q. If the class intervals are

10 - 19, 20 - 29, 30 - 39, . . .

then the upper limit of the first class-interval is

Q. Write the class-size in each of the following :

10 - 19, 20 - 29, 30 - 39

Q. Calculate the mean of the following distribution:

Class Interval	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$
Frequency	$8$	$5$	$12$	$35$	$24$	$16$

The following are the marks scored in a unit test (out of 25). Prepare a frequency distribution table, taking the class intervals as 0-4, 5-9, 10-14, 15-19, 20-24:

21, 14, 3, 7, 23, 18, 24, 16, 18, 17, 20, 10, 17, 18, 21, 23, 19, 12, 14, 9, 16, 18, 12, 14, 11.

From the table (i) find the mid-points of each class interval; (ii) find the class interval having maximum frequency; (iii) find the range of the scores.

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Calculate the mean for: Class interval=10-14,15-19,20-24,25-29,30-34 Frequency=2,3,5,3,2

Mid points of Class Interval are Class Interval Midpoint(x) Frequency (f) fx 10-14 = 12 2 24 15-19 = 17 3 51 20-24 = 22 5 110 25-29 = 27 3 81 30-34 = 32 2 64 total= 15 total = 330 Therefore Mean = (Total fx)/ (total f) = 330/15 = 22

Calculate the mean for:
Class interval=10-14,15-19,20-24,25-29,30-34
Frequency=2,3,5,3,2

Mid points of Class Interval are
Class Interval Midpoint(x) Frequency (f) fx

10-14 = 12 2 24
15-19 = 17 3 51
20-24 = 22 5 110
25-29 = 27 3 81
30-34 = 32 2 64

total= 15 total = 330

Therefore Mean = (Total fx)/ (total f) = 330/15 = 22