Download App

Mean, Median, Mode of Grouped Data — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsMean, Median, Mode of Grouped Data5 Marks
Question
Find the mean, marks per stufdent, using assumed-mean method:
Marks
0-10
10-20
20-30
30-40
40-50
50-60
Number of students
12
18
27
20
17
6
✓

Answer

We have, Let A = 25 be the assumed mean
Marks
Frequency$ f_i$
Mid-value $x_1$
Deviation $d_i = (x_i- 25)$
$f_1 \times d_1$
0-10
12
5
-20
-240
10-20
58
15
-10
-180
20-30
27
25 = A
0
0
30-40
20
35
10
200
40-50
17
45
20
340
50-60
6
55
30
180
Total
$\sum\text{f}_\text{i}=100$
 
 
$\sum\text{f}_\text{i}\times\text{d}_\text{i}=300$
$\bar{\text{x}}=\text{A}+\frac{\sum(\text{f}_\text{i}\times\text{x}_\text{i})}{\sum\text{f}_\text{i}}=\Big(25+\frac{300}{100}\Big)=(25+3)$Hence mean = 28

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "5 Marks Questions" from Mean, Median, Mode of Grouped Data→Mean, Median, Mode of Grouped Data — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

Find the mean from the following frequency distribution of marks at a test in statistics:
Marks$ (x):$ $5$ $10$ $15$ $20$ $25$ $30$ $35$ $40$ $45$ $50$
No. of students $(f):$ $15$ $50$ $80$ $76$ $72$ $45$ $39$ $9$ $8$ $6$
→
If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then prove that the other two sides are divided in the same ratio.
→
A train travels at a certain average speed for a distance of $54 \ km$ and then travels a distance of $63 \ km$ at an average speed of $6 \ km/h$ more than the first speed. If it takes $3$ hours to complete the total journey, what was its first average speed?
→

Five year hence, the age of Jacob will be three times that of his son. Five years ago, Jacob's age was seven times that of his son. What are their present ages? Solve by substitution method.

→
A fez, the cap used by the Turks, is shaped like the frustum of a cone. If its radius on the open side is 10cm, radius at the upper base is 4cm and its slant height is 15cm, then find the area of material used for making it. $\Big[\text{Use}\ \pi=\frac{22}{7}.\Big]$
→
Name the quadrilateral formed, if any, by the following points, and given reason for your answers:
A(-3, 5), B(3, 1), C(0, 3), D(-1, -4).
→
Find the quotient and the remainder when:
$f(x)=x^4-5 x+6$ is divided by $g(x)=2-x^2$
→
If $\sec\theta+\tan\theta=\text{p},$ prove that:$\sec\theta=\frac12\Big(\text{p}+\frac{1}{\text{p}}\Big)$
→
A rectangular plot measures 125m by 78m. It has gravel path 3m wide all around on the outside. Find the area of the path and the cost of gravelling it at ₹ 75 per $m^2$.
→
A TV tower stands vertically on a bank of canal. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is 60°. From anothe point 20m away from this point on the line joining this point to the foot of the tower, the angle of elevation of the top of the tower is 30°. Find the height of the ower and the width of the canal.
→