Measures Of Central Tendency

Question

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With example that if there are unequal class intervals in a series, then the median will be same without matching the equal class intervals.

Solution

We can prove it by taking the following table:

Marks

No. of Students

0-10

10-30

30-60

60-80

80-90

Calculation of median without adjusting the class-intervals.

0-10

10-30

30-60

60-80

80-90

Total

Σ P = 60

The value of 30th item lies in 30-60 class interval.

Now we convert the unequal class intervals into equal intervals and calculate the median

Marks

Quantity
(f)

Cumulative Frequency (cf)

0-30

30-60

69-90

5+12 = 17

10+5 =15

The value of 30th item lies in 30-60 class interval

Then we see that the median is same by the both method.

Some More Questions From Measures of Central Tendency Chapter

If the arithmetic mean of the data given below is 28, find (a) the missing frequency and (b) the median of the series.

Profit per retail shop (in Rs.)

Number of retail shops

0-10

10-20

20-30

30-40

40-50

50-60

12

18

27

–

17

6

The following series relates to the daily income of workers employed in a firm. Compute the (a) highest income of lowest 50% workers, (6) minimum income earned by the top 25% and (c) maximum income earned by lowest 25% workers.

Daily Income (in Rs.)

Number of Workers

10-14

15-19

20-24

25-29

30-34

35-39

5

10

15

20

10

5

The following table gives production yield in kg. per hectare of wheat of 150 arms in a village. Calculate the mean, median and mode production yield.

Production yield (kg. per hectare)

50-53

53-56

56-59

59-62

62-65

65-68

68-71

71-74

74-77

Number of farms

3

8

14

30

36

28

16

10

5

The size of land holdings of 380 families in a village is given below. Find the median size of land holdings.

Size of Land Holdings (in acres)

Number of families

less than 100

100-200

200-300

300-400

400 and above

40

89

148

64

39

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Measures Of Central Tendency

With example that if there are unequal class intervals in a series, then the median will be same without matching the equal class intervals.

Some More Questions From Measures of Central Tendency Chapter

If the arithmetic mean of the data given below is 28, find (a) the missing frequency and (b) the median of the series.

Profit per retail shop (in Rs.)

Number of retail shops

0-10

10-20

20-30

30-40

40-50

50-60

12

18

27

–

17

6

The following table gives production yield in kg. per hectare of wheat of 150 arms in a village. Calculate the mean, median and mode production yield.

Production yield (kg. per hectare)

50-53

53-56

56-59

59-62

62-65

65-68

68-71

71-74

74-77

Number of farms

3

8

14

30

36

28

16

10

5

The size of land holdings of 380 families in a village is given below. Find the median size of land holdings.

Size of Land Holdings (in acres)

Number of families

less than 100

100-200

200-300

300-400

400 and above

40

89

148

64

39

What do you mean by 'Average'?

Pocket expenditures of 6 students are (Rs.) 6,12,18,24,30 and 36 respectively. Find out arithmetic mean.

Name various kinds of statistical averages?

Give formula of weighted averages.

Give formula of calculating arithmetic average of a continuous series.

What is arithmetic mean?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Location

Production yield (kg. per hectare)	50-53	53-56	56-59	59-62	62-65	65-68	68-71	71-74	74-77
Number of farms	3	8	14	30	36	28	16	10	5

For Daily Free Study Material Join wiredfaculty

Measures Of Central Tendency

With example that if there are unequal class intervals in a series, then the median will be same without matching the equal class intervals.

Some More Questions From Measures of Central Tendency Chapter

If the arithmetic mean of the data given below is 28, find (a) the missing frequency and (b) the median of the series. Profit per retail shop (in Rs.) Number of retail shops 0-10 10-20 20-30 30-40 40-50 50-60 12 18 27 – 17 6

The following table gives production yield in kg. per hectare of wheat of 150 arms in a village. Calculate the mean, median and mode production yield. Production yield (kg. per hectare) 50-53 53-56 56-59 59-62 62-65 65-68 68-71 71-74 74-77 Number of farms 3 8 14 30 36 28 16 10 5

The size of land holdings of 380 families in a village is given below. Find the median size of land holdings. Size of Land Holdings (in acres) Number of families less than 100 100-200 200-300 300-400 400 and above 40 89 148 64 39

What do you mean by 'Average'?

Pocket expenditures of 6 students are (Rs.) 6,12,18,24,30 and 36 respectively. Find out arithmetic mean.

Name various kinds of statistical averages?

Give formula of weighted averages.

Give formula of calculating arithmetic average of a continuous series.

What is arithmetic mean?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

If the arithmetic mean of the data given below is 28, find (a) the missing frequency and (b) the median of the series.

Profit per retail shop (in Rs.)

Number of retail shops

0-10

10-20

20-30

30-40

40-50

50-60

12

18

27

–

17

6

The following table gives production yield in kg. per hectare of wheat of 150 arms in a village. Calculate the mean, median and mode production yield.

Production yield (kg. per hectare)

50-53

53-56

56-59

59-62

62-65

65-68

68-71

71-74

74-77

Number of farms

3

8

14

30

36

28

16

10

5

The size of land holdings of 380 families in a village is given below. Find the median size of land holdings.

Size of Land Holdings (in acres)

Number of families

less than 100

100-200

200-300

300-400

400 and above

40

89

148

64

39