Data Handling II (Central Values) - Maharashtra Board STD 7 Maths Questions

The rainfall (in mm) in a city on 7 days of a certain week was recorded as follows:

Day	Mon	Tue	Wed	Thu	Fri	Sat	Sun
Rainfall (in mm)	0.0	12.2	2.1	0.0	20.5	5.3	1.0

Find the range of the rainfall from the above data.

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Q 21 Mark Question1 Mark

The rainfall (in mm) in a city on 7 days of a certain week was recorded as follows:

Day	Mon	Tue	Wed	Thu	Fri	Sat	Sun
Rainfall (in mm)	0.0	12.2	2.1	0.0	20.5	5.3	1.0

Find the mean rainfall for the week.

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Q 31 Mark Question1 Mark

The rainfall (in mm) in a city on 7 days of a certain week was recorded as follows:

Day	Mon	Tue	Wed	Thu	Fri	Sat	Sun
Rainfall (in mm)	0.0	12.2	2.1	0.0	20.5	5.3	1.0

On how many days was the rainfall less than the mean rainfall.

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Q 41 Mark Question1 Mark

The marks (out of 100) obtained by a group of students in science test are 85, 76, 90, 84, 39, 48, 56, 95, 81 and 75. Find the:
Highest and the lowest marks obtained by the students.

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Q 51 Mark Question1 Mark

The marks (out of 100) obtained by a group of students in science test are 85, 76, 90, 84, 39, 48, 56, 95, 81 and 75. Find the
Range of marks obtained.

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Q 62 Mark Question2 Marks

Find the mean of all factors of 10

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Q 72 Mark Question2 Marks

Find the mean of 994, 996, 998, 1002 and 1000.

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Q 82 Mark Question2 Marks

Ashish studies for 4 hours, 5 hours and 3 hours on three consecutive days. How many hours does he study daily on an average?

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Q 92 Mark Question2 Marks

Find the mode of the data: 2, 6, 5, 3, 0, 3, 4, 3, 2, 4, 5, 2, 4

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Q 102 Mark Question2 Marks

A cricketer scores the following runs in 8 innings: 58, 76, 40, 35, 48, 45, 0, 100. Find the mean score.

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Q 113 Mark Question3 Marks

Find the median of the following data:
133, 73, 89, 108, 94,104, 94, 85, 100, 120

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Q 123 Mark Question3 Marks

Find the median of the following data: 41, 43, 127, 99, 61, 92, 71, 58, 57, If 58 is replaced by 85, what will be the new median?

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Q 133 Mark Question3 Marks

The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x:
29, 32, 48, 50, x, x + 2, 72, 78, 84, 95

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Q 143 Mark Question3 Marks

The mean weight of 8 numbers is 15kg. If each number is multiplied by 2, what will be the new mean?

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Q 153 Mark Question3 Marks

Find the median of the following observations: 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33. If 92 is replaced by 99 and 41 by 43 in the above data, find the new median?

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Q 165 Mark Question5 Marks

Find the missing frequency (p) for the following distribution whose mean is 7.68

x:	3	5	7	9	11	13
f:	6	8	15	p	8	4

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Q 175 Mark Question5 Marks

Find the value of p for the following distribution whose mean is 16.6

x:	8	12	15	p	20	25	30
f:	12	16	20	24	16	8	4

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Q 185 Mark Question5 Marks

Find the missing value of p for the following distribution whose mean is 12.58

x:	5	8	10	12	p	20	25
f:	2	5	8	22	7	4	2

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Q 195 Mark Question5 Marks

Find the value of p, if the mean of the following distribution is 20

x:	15	17	19	20 + p	23
f:	2	3	4	5 p	6

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Q 205 Mark Question5 Marks

The following table shows the weights of 12 persons.

Weight (in kg):	48	50	52	54	58
Number of persons:	4	3	2	2	1

Find the median and mean weights. Using empirical relation, calculate its mode.

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Q 21MCQ1 Mark

There are $7$ observations in the data and their mean is $11$. If each observation is multiplied by $2$, then the mean of new observations is:

A
$11$
B
$13$
✓
$22$
D
$55$

Answer: C.

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Q 22MCQ1 Mark

The mean of five numbers is $4$. If $1$ is added to each other, then the new mean is:

A
$4$
✓
$5$
C
$3$
D
$5.5$

Answer: B.

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Q 23MCQ1 Mark

Which of the following is correct?

A
Mode $= 2$ Median $- 3$ Mean
B
Mode $= 3$ Median $-$ Mean
C
Mode $-$ Mean $= 3 ($Median $-$ Mean$)$
✓
Mode $-$ Median $=$ Median $-$ Mean

Answer: D.

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Q 24MCQ1 Mark

The mean of a data is $15$ and the sum of the observations is $195$. The number of observations is:

✓
$13$
B
$19$
C
$16$
D
$17$

Answer: A.

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Q 25MCQ1 Mark

If the mean of $5, 7, x, 10, 5$ and $7$ is $7$, then $x =$

A
$6$
B
$7$
✓
$8$
D
$9$

Answer: C.

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Q 264 Mark Question4 Marks

The mean of marks scored by 100 students was found to be 40. Later on it was discovered that a score of 53 was misread as 83. Find the correct mean.

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Q 274 Mark Question4 Marks

Heights of 25 children (in cm) in a school are as given below:
168, 165, 163, 160, 163, 161, 162, 164, 163, 162, 164, 163, 160, 163, 163, 164, 163, 160, 165, 163, 162
What is the mode of heights?
Also, find the mean and median.

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Q 284 Mark Question4 Marks

The mean of the following data is 20.6. Find the value of p.