if the marks distribution of a number of candidatesin an examination, out of 100,are in accordance with the table below, what is the estimate number ofcandidates who scored between 58 and 72?marks m<55 candidates 41055<m <=60 candidates 40 60<= m<=65 candidates 5065<=m<=70 candidates 40 70<=m<=75 candidates 30
Answers
Answer:
Step-by-step explanation:
Let the mean be x
Using the direct method: x=∑ni∑xini
=302×17.5+3×32.5+7×47.5+6×62.5+6×77.5+6×92.5
=301860=62
Mode is the data point that occurs the most frequently in the data set.
Hence, the mode is class-interval 40−55.
Answer:
Concept:
In statistics, a frequency distribution is a list, table, or graph This graph depicts the frequency of various outcomes in a sample. Each table row contains the frequency or count of occurrences of values within a given group or interval.
Given:
Out of 100, mark distribution of a group of candidates in an examination.
Find:
a rough estimate of the number of candidates who received a score between 58 and 72
Solution:
Marks frequency cf Less than
Less than 55 40 40
55 - 60 40 80
60 - 65 50 130
65 - 70 40 170
70 - 75 30 200
From the give graph
Less than 58 marks = 64
Candidates whos cored between 58 and 72 = 184 - 64 = 120
A total of 120 candidates received a score between 58 and 72.
The answer is 120