# Mean for Ungrouped Data

## Trending Questions

**Q.**

Which of the following measures of central tendency takes into account all the observations?

Mean

Median

Mode

All of the above

**Q.**

Sum of all observations divided by the number of observations gives us the_______ of the data.

**Q.**

**Question 1**

Find the mean marks of students for the following distribution

MarksNumber of students0 and above 8010 and above 7720 and above 7230 and above 6540 and above 5550 and above 4360 and above 2870 and above 1680 and above 1090 and above 8100 and above 0

**Q.**

The mean calculated for the raw data will have the exact same value as that of the corresponding grouped data.

True

False

**Q.**

xifi4108111291613

Find ∑fixi from the given table. f = frequency

444

Data inadequate

434

208

**Q.**If the mean of x, x+3, x+5, x+7 and x+10 is 9, then the value of second observation is ____.

- 5
- 6
- 7
- 8

**Q.**The measure of central tendency which we'll reject when the data contains some extreme values, is the _____.

- mean
- median
- mode
- range

**Q.**A die is thrown once. Find the probability of getting a number which

(i) a prime number; (ii) a number lying between 2 and 6;

**Q.**Let a, b, and c be positive integers(a<b<c). If the average (arithmetic mean) of a, b, and c is 100, which of the following is NOT a possible value of any of the integers?

- 297
- 298
- 299
- 2
- 100

**Q.**Find the mean age in years from the frequency distribution given below.

Class interval of age in yearsFrequency (fi)25−29430−341435−392240−441645−49650−54555−593Total70

- 39.35
- 39.39
- 40.15
- 40.39

**Q.**

The mean of first 10 natural numbers is ______.

4.5

5.5

6.5

5

**Q.**

Krishna’s family has 4 members. The daily rice consumption of the 4 family members is - 0.5 kg, 0.4 kg, 0.3 kg and 0.6 kg. Krishna wants to find the average rice consumption per family member. What is the measure that will come into use now?

Median

Mean

Mode

Median or Mode

**Q.**

There are four children A, B, C and D. A has 6 chocolates, B has 7 chocolates, C has 8 chocolates and D has 10 chocolates. Which of these children has close to the average number of chocolates?

B

D

C

A

**Q.**

∑fx = 5x + 2, ∑f = 12. If the mean of the distribution is 6, what is the value of x?

12

14

15

18

**Q.**The mean of 6, y, 7, x and 14 is 8, then

- x+y=13
- x−y=13
- 2x+3y=13
- x2+y2=15

**Q.**

Calculate the Mean of the given distribution, using Assumed mean Method.

MarksNo. of Students10−20220−30630−401040−501250−60960−70870−80480−903

- 48.89

**Q.**If the mean of x and 1x is M, the mean of x3 and 1x3 is _____.

- M2−32
- M(4M2−3)
- M3
- M3+3

**Q.**

The value of ∑ni=1xi is

¯X2

¯Xn

2¯X

n¯X

**Q.**

The mean ¯x of a grouped data is given by:

∑fixi∑fi

∑fixi

∑xifi

∑fixi∑x.f

**Q.**

The average weight of a group of 25 men was calculated to be 78.4 kg. It was discovered later that one weight was wrongly entered as 69 kg instead of 96 kg. What is the correct average ?

80.30

79.48

77.56

75.76

**Q.**If the mean of the following distribution is 6, then value of p is

x:2 4 6 10 p+5

f:3 2 3 1 2

- 5
- 7
- 6
- 12

**Q.**

The arithmetic mean of 1, 2, 3, 4, 5, ……., n is ____.

n+12

n−12

n2

n2+1

**Q.**The three methods to find the mean from the grouped frequency distribution are _______.

- Assumed method, Direct mean method and Step deviation method
- Direct method, Assumed mean method and Step deviation method
- Grouped method, Ungrouped method and Step deviation method.
- Grouped method, Ungrouped method and Direct method.

**Q.**There are _______ methods to find the mean value for a grouped data.

- two
- three
- four
- five

**Q.**The following are the marks obtained in Maths by students of Class 8:

51, 94, 34, 20, 50, 81, 81, 90, 76, 34, 51, 86, 93, 99, 26, 54, 85, 71, 88, 40, 44, 56, 55, 57, 78, 53, 81, 78, 65, 78.

The data have to be grouped to find the mean marks.

One of the class intervals made is 60-70.

How many should such class intervals be prepared?

What is the frequency of the last class interval?

What are the upper and the lower limits of the first class interval?

What is ∑fi ?

- 8, 4, 30, 20, 30
- 10, 1, 0, 10, 30
- 10, 4, 10, 0, 30
- 8, 4, 20, 30, 28

**Q.**

What is the ratio of the sum of all observations to the number of observations called?

**Q.**

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.

**Q.**The frequency of an entry is the number of times the entry occurs in the dataset.

- False
- True

**Q.**

The mean calculated for the raw data will have the exact same value as that of the corresponding grouped data.

True

False

**Q.**Find the class marks of classes 10−25 and 35−55.