WORKSHEET STATISTICS GRADE 10

SET - 1

1. Calculate the mean for the following distribution:

x	5	6	7	8	9
f	4	8	14	11	3

2.  Find the mean of the following frequency distribution:

Class	6	6 -12	12-18	18-24	24-30
Frequency	6	8	10	9	7

 3.  Find the mean of the following frequency distribution:

Class	50 - 70	70 - 90	90 - 110	110 - 130	130 - 150	150- 170
Frequency	18	12	13	27	8	22

4. Find the mean of the following frequency distribution:

Class	8	8 - 16	16 -24	24 - 32	32 – 40
Frequency	6	7	10	8	9

  5. Find the mean of the following frequency distribution:

Class	25-29	30-34	35-39	40-44	45-49	50-54	55-59
Frequency	14	22	16	6	5	3	4

6. If the mean of the following distribution is 27, find the value of p.

Classes	0 - 10	10 - 20	20-30	30-40	40 - 50
Frequency	8	p	12	13	10

 SET - 2

1. The following is the distribution of height of students of a certain class in certain city:

Height in cm	160 -162	163 - 165	166 - 168	169 - 171	171 - 174
No. of students	15	118	142	127	18

2. Calculate the missing frequency from the following distribution, it being gives that the median of the

     distribution is 24.

Classes	0 - 10	10 - 20	20-30	30-40	40 - 50
Frequency	5	25	x	18	7

3. An in complete distribution is given below:

Variable	10 - 20	20 – 30	30 -40	40- 50	50 - 60	60 - 70	70 - 80
Frequency	12	30	x	65	y	25	18

you are given that the median value is 46 and the total number of items is 230.

   (i) Using the median formula fill up missing frequencies.

    (ii) Calculate the mean the completed distribution.

4. A survey regarding the height(in cm) of 51 girls of class X of a school was conducted and the following data was obtained.

Height in cm	Number of girls
Less than 140 Less than 145 Less than 150 Less than 155 Less than 160 Less than 165	4 11 29 40 46 51

     Find the median of height.

5. The distribution below gives the weight of 30 students in a class. Find the median weight of students.

Weight in kg	40 -45	45-50	50-55	55 - 60	60 - 65	65 - 70	70 - 75
No. of students	2	3	8	6	6	3	2

  SET - 3

1. Find the mode of the following:

Class	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80
Frequency	5	8	7	12	28	20	10	10

2. The following is the height of students of a certain class in a certain city: find the mode.

Height in(cm)	160 - 162	163 - 165	166 - 168	169 - 171	171 - 174
No. students	15	118	142	127	18

3. The following table shows the ages of the patients admitted in a hospital during a year.

Age in years	5 - 15	15 - 25	25 - 35	35 - 45	45 – 55	55 - 65
Frequency	6	11	21	23	14	5

Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.4. Compare the modal ages of two groups of students appearing for an entrance test:

Age in (years)	16 -18	18 - 20	20 - 22	22 -24	24 -26
Group A	50	78	46	28	23
Group B	54	89	40	25	17

5. Calculate the value of mode for the following frequency distribution:

Class	Frequency
1 – 4 5 – 8 9 -12 13 – 16 17 – 20 21 – 24 25 -28 29 – 32 33 – 36 37 -40	2 5 8 9 12 14 14 15 11 13

 SET - 4

1. Draw an ogive to represent the following frequency distribution:

Class	0 - 4	5 - 9	10 - 14	15 -19	20 - 24
No. students	2	6	10	5	3

 2. The following table gives the height of trees. Draw less than ogive and more than ogive.

Height	No. of trees
Less than 7 Less than 14 Less than 21 Less than 28 Less than 35 Less than 42 Less than 49 Less than 56	26 57 92 134 216 287 341 360

3.  The following distribution gives the daily income of 50 workers of a factory:

Class	100 - 120	120 - 140	140 - 160	160-180	180-200
No. students	12	14	8	6	10

Convert the above distribution  to a less than type cumulative frequency distribution and

 draw its ogive and hence find the median.

4.  Draw the both ogives in the same graph paper.

Classes	0 - 10	10 - 20	20-30	30-40	40 - 50
Frequency	5	25	15	18	7