CBSE Class 9 Mathematics Measures of Central Tendency Assignment Set 01

Choose the Correct Choice from given Choices:

Question. Find the Mode of the following data \( 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18 \) is
(a) 16
(b) 15
(c) 14
(d) 13
Answer: (c) 14

Question. The following data is arranged in ascending order \( 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 \). If the median of the data is \( 63 \), the value of \( x \) is
(a) 59
(b) 60
(c) 61
(d) 62
Answer: (d) 62

Question. The median of the following data is \( 72, 68, 42, 33, 35, 39, 40, 41, 65, 69 \)
(a) 41.5
(b) 41.0
(c) 39.5
(d) 39
Answer: (a) 41.5

Question. The mean of \( 13 \) observations is \( 14 \). If the mean of the first \( 7 \) observations is \( 12 \) and that of the last \( 7 \) observations is \( 16 \). The \( 7^{\text{th}} \) observation is
(a) 15
(b) 14
(c) 13
(d) 12
Answer: (b) 14

Question. Take any \( 5 \) numbers of your choice and find the value of \( \sum_{i=1}^{5} (x_i - \bar{x}) \) is
(a) 0
(b) 1
(c) 2
(d) 3
Answer: (a) 0

Question. For what value of \( x \), the mode of the following data is \( 10 \)?
\( 7, 6, 10, 8, 10, x, 7, 5, 12, 14 \)
(a) 10
(b) 11
(c) 12
(d) 7
Answer: (a) 10

Question. The median of \( 61, 58, 67, 60, 55, 72, 50, 52 \) is
(a) 57
(b) 58
(c) 59
(d) 60
Answer: (c) 59

Question. A student got the following marks in Mathematics as follows (out of \( 50 \))
\( 48, 32, 36, 42, 38, 35, 39, 49, 34, 14, 32, 37, 31 \)
What should he expect in the next weekly test out of the following?
(a) Between 40-50
(b) Between 30-40
(c) Between 20-30
(d) Between 50-60
Answer: (b) Between 30-40

Question. The relation between mean, mode and median is
(a) Mode = \( 3 \) Med. \( - 2 \) Mean
(b) Mean = \( 3 \) Med. \( - 2 \) Mode
(c) Median = \( 3 \) Mean \( - 2 \) Mode
(d) None of the options
Answer: (a) Mode = \( 3 \) Med. \( - 2 \) Mean

Question. The difference between old median and new median is, "if the data is \( 31, 15, 19, 12, 30, 45, 60, 50, 25, 40 \)". Find its median. Now in this data if \( 40 \) is replaced by \( 20 \), find new median. The difference is (of medians)
(a) 6
(b) 5
(c) 4
(d) 3
Answer: (d) 3